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Taylor Table skewed method

Central difference scheme From Taylor series Taking four point from the base LHS 2 point RHS side two point (d^2 u)/(dx^2 )=af(x-2)+bf(x-1)+cf(x)+df(x+1)+ef(x+2) Find the vale of a b c d e skewed RHS For second point (i-2) f(x-2*dx)=f(x)-f^\' (x) (2*dx)+f^\'\' (x) (4dx^2)/2!-f^\'\'\' (x) (8dx^3)/3!+f^iv (x) (16dx^4)/4!…

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    Read more Projects by Jagaveerapandiyan selvaraj (66)

    Project - Position control of mass spring damper system

    Objective:

    AIM To Design the transfer function of a spring mass damper system using PID Description Spring Mass Damper  Governing Equation   The free-body diagram for this system is shown below. The spring force is proportional to the displacement of the mass, and the viscous damping force is proportional…

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    29 Nov 2023 03:47 PM IST

    • MATLAB
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    Project 1 : CFD Meshing for Tesla Cyber Truck

    Objective:

    Aim To mesh volumetric mesh for Testla cyber Truck for CFD Analysis   COMMAND USED SURFACE CONNS Fill Holes Patch the hole with close loop single coon Faces cut or uncut cut the face from the point to edge or point, uncut the selected edge New    Conns     patch the single conns Point relative…

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    20 Jun 2023 07:11 PM IST

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    Week 5 Challenge : Surface wrap on Automotive Assembly

    Objective:

    AIM To Create surface wrap for Engine, Transmission, Gearbox Objective Clean up the rings and unwanted surfaces and assemble to together to  generate surface wrap COMMAND USED visual command OR(/)- view only selected AND(+)- a visible nearby entity of PID NOT(-) - Hid parts !NOT(!-) -  only view selected or hide…

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    08 Apr 2023 03:59 PM IST

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      Week 4 Challenge : CFD Meshing for BMW car

      Objective:

      Aim To Mesh BMW car for CFD External flow analysis OBJECTIVE volumetric Mesh of external tunnel for analysis To PROCESS clean up 2D Mesh external tunnel Volume 3D Mesh   clean up Aim Clean up of BMW Car by deleting the symmetry portion except for Symbol which is not a symmetry model for ready for meshing  objective…

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      01 Apr 2023 10:38 AM IST

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      Week 3 Challenge : CFD meshing on Turbocharger

      Objective:

      AIM To mesh the Volumetric Mesh of the Turbocharger using ANSA  TO BUILD volumetric Mesh before it we need to mesh Surface mesh using the below Mesh Nomenclature  Blade stage-1 = 1 mm Blade stage-2 = 1 mm Impeller = 2 mm Shaft rotor = 1 mm Turbo casing = 5 mm Compressor casing = 5 mm Inlet casing cover = 5 mm COMMAND USED…

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      15 Feb 2023 04:47 PM IST

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      Week 2 Challenge : Surface meshing on a Pressure valve

      Objective:

      Given Data To clean up the geometry and mesh with the below criteria Target length = 1mm, 3 mm and 5 mm  Element type = Tria To Build so slit the geometry into 3 cases to show the differentiation of mesh output Case1 Target length-5 mm  Quality criteria min length- 3mm max length - 7 mm   mesh length- 5…

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      29 Jan 2023 12:45 PM IST

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        Week 6 - Data analysis

        Objective:

        Introduction data analysis Data Analysis is the technique to collect, transform, and organize data to make future predictions, and make informed data-driven decisions. It also helps to find possible solutions for a business problem. There are six steps for Data Analysis. They are: Ask or Specify Data Requirements…

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        30 Oct 2022 04:22 PM IST

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          Week 5 - Curve fitting

          Objective:

          Introduction Curve fitting For root finding, we used a given function to identify where it crossed zero, capturing the data trend by assigning a single function across the entire range. mathematically General `f(x)=ax+b`  The goal is to identify the coefficients ‘a’ and ‘b’ such that f(x) ‘fits’ the data well polynomial…

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          19 Sep 2022 11:59 AM IST

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            Week 3 - Solving second order ODEs

            Objective:

            Analysis of simple Pendulum  AIM To solve simple pendulum and animate the output Equation ODE is split into many equation to solve ODE Equation `(d^2theta)/(dt^2)+(b/m)(d theta)/dt+g/L sintheta=0` slit the ODE to solve `(d theta)/dt=[(d theta_1)/dt,(d theta_2)/dt]` velocity (1st order ODE) `(d theta_1)/dt=theta_2`…

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            30 Jun 2022 02:16 PM IST

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              Week 2 Air standard Cycle

              Objective:

              Introduction  The air standard cycle is a thermodynamic power cycle that converts heat energy into mechanical power by considering air as a working fluid with constant specific heats (Cp & Cv). In this cycle, the air is the only working fluid that goes through changes in its thermodynamic properties to convert…

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              24 Jun 2022 05:24 PM IST

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                Project 2 - Rankine cycle Simulator

                Objective:

                AIM To simulate Rankine cycle with Turbine input and output condition using Matlab and steam Data function file Introduction The Rankine cycle is the fundamental operating cycle of all power plants where an operating fluid is continuously evaporated and condensed. The selection of operating fluid depends mainly on the…

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                23 Apr 2022 03:42 PM IST

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                Project 1 - Parsing NASA thermodynamic data

                Objective:

                Introduction  Aim To evaluate thermodynamic properties such as specific heat (cp), enthalpy (h), and entropy (S) from the NASA file for different spices with higher to lower temperatures and plot the Temperature vs thermodynamic properties for different spices in different folders.   Specific heat (CP) specific…

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                16 Apr 2022 02:05 PM IST

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                Week 4.1 - Genetic Algorithm

                Objective:

                Genetic Algorithm  A genetic algorithm is a search heuristic that is inspired by Charles Darwin’s theory of natural evolution. This algorithm reflects the process of natural selection where the fittest individuals are selected for reproduction in order to produce offspring of the next generation. This…

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                01 Jan 2022 09:12 AM IST

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                Week 3 - Solving second order ODEs

                Objective:

                Introduction Solving pendulum problems using ODE45 Given Data L=1 metre, m=1 kg, b=0.05. g=9.81 m/s2.   Solving `b/m*(d theta_ 1)/dt+g/l*sin(theta)+(d theta_ 2)/dt = 0` g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b=damping coefficient. For solving splitting ODE as 1st order and…

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                13 Dec 2021 03:04 PM IST

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                Week 2- 2R Robotic Arm Challenge

                Objective:

                Robotic Arm To Study position movement of robotic  Given Data Length l1=1;l2=0.5; Angle changes from initial condition theta1=45;theta2=30; 1st node position x0=0;y0=0; 2nd & 3rd position is variable using trignomenty x1 = l1*cos(THETA1) y1 = l1*sin(THETA1) % link2 position x2 = x1+ l2*cos(THETA2) y2 = y1+ l2*sin(THETA2)…

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                04 Dec 2021 04:29 PM IST

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                  FINAL TEST

                  Objective:

                  PFI Engine the Compression ratio for the engine The compression ratio is defined as the ratio between the volume of the cylinder with the piston in the bottom position, `V_2` (largest volume), and in the top position, `V_1` (smallest volume). The higher this ratio, the greater will be the…

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                  21 Nov 2021 05:56 PM IST

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                    Week 11: Project 2 - Emission characterization on a CAT3410 engine

                    Objective:

                        Emission characteristic Analysis On Diesel Engine with open-w and Omega shape piston Introduction Diesel engines are more efficient than gasoline engines for two reasons: (i) higher cylinder pressure and corresponding higher temperatures lead to improved thermal efficiency for the diesel engine; (ii)…

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                    18 Nov 2021 04:22 PM IST

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                    Week 10: Project 1 - FULL HYDRO case set up (PFI)

                    Objective:

                    Introduction PFI engine mixing fuel with air in the carburetor before it entered the combustion chamber was still the main technology being used in gasoline vehicles PFI engines use a three-way catalytic converter, exhaust sensors, and computer-controlled engine management to constantly adjust the fuel-to-air ratio injected…

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                    07 Nov 2021 01:14 PM IST

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                    Week 9: Project 1 - Surface preparation and Boundary Flagging (PFI)

                    Objective:

                    Introduction the most widely produced internal combustion engines were of the Port Fuel Injected (PFI) design, where the fuel is sprayed into the intake ports to mix with incoming air. In fact, many new vehicles are still manufactured with this engine design. The fuel injectors in PFI configurations are typically mounted…

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                    29 Oct 2021 05:42 PM IST

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                      Week 8: Literature review - RANS derivation and analysis

                      Objective:

                      AIM To determine the following term NS Equation with expression output for Reynold's Stress understanding of the terms Reynolds stress What is turbulent viscosity? How is it different from molecular viscosity? Turbulent In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by…

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                      20 Oct 2021 02:14 PM IST

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                        Week 7: Shock tube simulation project

                        Objective:

                        Introduction  Shock Tube Shock tubes are devices for studying the flow of high-temperature and high-velocity compressible gas. A high-temperature supersonic gas flow is initiated in a shock tube as a result of rupture of a diaphragm separating two gases in high-pressure and low-pressure chambers. The shock tube is…

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                        07 Oct 2021 01:11 PM IST

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                          Week 6: Conjugate Heat Transfer Simulation

                          Objective:

                          Introduction  Conjugate Heat Transfer (CHT) Conjugate Heat transfer (CHT) is when heat transfer occurs simultaneously within & between fluid and solid regions The predominant mode of Heat transfer in a fluid is convection  The predominant mode of Heat transfer in Solid is conduction Converge solves the fluid…

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                          05 Oct 2021 04:30 PM IST

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                            Week 5: Prandtl Meyer Shock problem

                            Objective:

                            Shock Wave strong pressure wave in an elastic medium such as air, water, or a solid substance, produced by supersonic aircraft, explosions, lightning, or other phenomena that create violent changes in pressure. The edge of the cone forms a supersonic wavefront with an unusually large amplitude called a "shock wave, Shock…

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                            26 Sep 2021 02:52 PM IST

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                              Week 4.2: Project - Transient simulation of flow over a throttle body

                              Objective:

                              AIM To Determin Transient Simulation OF Elbow with variable valve Position Using Converge INPUT BOUNDARY CONDITION   Predefine mixture-Air Simulation Parameter Solver: Steady-state Simulatio mode- Fully Hydrodynamic     Simulation Time Parameter End Time-0.01 S Init-time step-1e-09 s min-time step-1e-09…

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                              17 Sep 2021 05:22 PM IST

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                                Week 4.1: Project - Steady state simulation of flow over a throttle body

                                Objective:

                                AIM To Determin Steady State Simulation OF Elbow Using Converge INPUT BOUNDARY CONDITION   Predefine mixture-Air Simulation Parameter Solver: Steady-state Simulatio mode- Fully Hydrodynamic     Simulation Time Parameter End Time-15000 Cyc min-time step-1e-9 Max-time step-1 Max-Convection CFL-1 Solver Parameter…

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                                16 Sep 2021 12:43 PM IST

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                                  Week 3: Flow over a backward facing step

                                  Objective:

                                  Given Data back ward Facing in step geomentry Turbulent solving Steaty State Boundary Condition   Volume- Air inlet- 1101325 Pa  outlet-101325 Pa Turbulent-`STD k-epsi` SteatyState Simulation time Parameter End Time:15000 cycle Initial Time step:1e-6 min Time step:1e-6 max Time step:1 Max convection CFL limit:1…

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                                  10 Sep 2021 05:27 PM IST

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                                    Week 1: Channel flow simulation using CONVERGE CFD

                                    Objective:

                                    Objective  To study simulation of channel flow with different mesh size Creat Geomentry x=0.01,y=0.01,z=0.01m set up  material  species N2,O2 Simulation Parameter Steady state Simulation time parameter  End time-15000 cycles Boundary Boundary Condition Region       inlet P=100001 O2=0.23…

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                                    28 Aug 2021 05:40 PM IST

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                                      Week 9 - Senstivity Analysis Assignment

                                      Objective:

                                      Given Data Temperature=1500 Pressure=1atm  CH4 combustion To Find: combustion sensitivity analysis methane combustion 10 most sensitive reactions Temperature function of 10 reactions vs sensitivity   Solution: Theory Sensitivity Analysis the sensitivity analysis is a standard approach to investigate the influence…

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                                      03 Jun 2021 05:09 AM IST

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                                        Week 7 - Auto ignition using Cantera

                                        Objective:

                                        study Methane (CH4) of Ignition delay at the various condition for 10 seconds Given Data Part 1 Case 1a constant temperature T=1250 k variable pressure varies from P= 1 to 5 bar case 1b constant pressure P=5 bar variable Temperature varies from T=950 to 1450k Part 2 case2a constant Temperature T=500k constant Pressure…

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                                        28 May 2021 01:04 PM IST

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                                          Week 6 - Multivariate Newton Rhapson Solver

                                          Objective:

                                          Given Data `(dy_1)/dt=-0.04y_1+10^4y_2y_3` `(dy_2)/dt=0.04y_1-10^4y_2y_3-3*10^7y_2^2` `(dy_3)/dt=3*10^7*y_2^2` alpha=1 time(t)=10 min initial guess value y1=1 y2=0 y3=0 To Find Solve the problem using Implicit Euler Method/Backward Differencing suitable step size, reason for choosing that step size Solution solve y variable…

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                                          18 May 2021 01:29 PM IST

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                                            Week 5 - Literature review: ODE Stability

                                            Objective:

                                            Introduction what is ODE  ODE is an Ordinary Differential Equation is an equation that contains one or several derivatives of unknown Function such as time & space ( For example temperature variation T(x), T(t)). The equation may contain T itself as a known function of x or t. Term Ordinary distinguishes Partial…

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                                            16 Aug 2020 01:14 PM IST

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                                              Compact Notation Derivation for a simple Mechanism

                                              Objective:

                                              Aim To Derive compact Notation Derivation For below Reaction `CO+O2 to CO2+O` `O+H2O to OH+OH` `CO+OH to CO2+H` `H+O2 to OH +O` Solution Give Problem has 7 species & 4 Reaction mechanism Species j Species 1 CO 2 O2 3 CO2 4 O 5 H2O 6 OH 7 H Reaction `CO+O2 overset(kf1) (harr) underset(kr1) CO2+O` `O+H2O overset(kf2)…

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                                              25 Jul 2020 10:02 AM IST

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                                                Week 4 - Combustion Efficiency Calculation after Preheating

                                                Objective:

                                                 Aim To Find Adiabatic Temperature when reactant of air heated from range 298 to 600k with 41 number of divisions which was given by recuperator using the class method in Cantera Product exit 1700k temperature with preheater of air effect of combustion efficiency with LHV=50MJ/KG. Combustion Analysis of methane Using…

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                                                13 Jul 2020 04:30 PM IST

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                                                  Week 4 - Handling Mixtures with Cantera

                                                  Objective:

                                                  Aim To Find the Adiabatic Flame Temperature (AFT) at the stoichiometric condition using Cantera which is obtained as 2224 k study molar faction input in Cantera to get AFT Introduction General Form of stoichiometric condition `C_xH_y+a(o_2+3.76*N2)= x*co_2 +y/2*H2O+3.76*a*N2` mole base convection consider only at reactant…

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                                                  07 Jul 2020 03:56 PM IST

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                                                    Week 3 - Adiabatic Flame Temperature calculation

                                                    Objective:

                                                    OBJECTIVE FINDING ADIABATIC FLAME TEMPERATURE IN COMBUSTION WITH VARIABLE CONDITION Constant Volume Process 2.Constant Pressure Process    CH4 with variable heat loss Di-carbon atoms alkanes, alkynes, and alkenes with 0.35 (35% heat loss) variable carbon atom in alkane   Introduction General combustion…

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                                                    29 Jun 2020 01:36 PM IST

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                                                      Independent Research Project

                                                      Objective:

                                                      Effectiveness comparison of Double pipe heat exchanger OBJECTIVE To Design Double pipe heat exchanger with & without turbulator. Numerical investigation of Heat exchanger Using Ansys. To find the temperature effect of Double pipe exchanger and compare the effect with turbulator in the tube at various Reynolds number.…

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                                                      26 Jun 2020 03:35 PM IST

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                                                      Assembly of Yacht

                                                      Objective:

                                                        I am already completed this challenge just resubmitting the challenge again as directed by my technical support engineer Bharath Google Drive https://drive.google.com/file/d/1oY0GQZXrutoor_6AVGO3x93tFN4gZNpt/view?usp=sharing

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                                                      20 May 2020 06:00 AM IST

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                                                        BLUE Yatch Design Using solidworks

                                                        Objective:

                                                        OBJECTIVE Design of yacht in Solidworks Acknowledgement Thank you learn solidworks.com Mr.J.W. Zuyderduyn for a design resource I would like to thank skill Lync, Mr Bharath Kumar, for entire 24/7 support in my design to make me to learn the concept very clearly and completed the Design Software Used to Design Solid Works…

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                                                        26 Apr 2020 06:20 AM IST

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                                                          Linear Convection

                                                          Objective:

                                                          #comment the plot is not very good but the result is right   Program for variable time step clear allclose allclcl=1n=80c=1dt1=1e-4dt2=1e-3dt3=1e-2dt4=1e-1t=0.4% calculationx=linspace(0,l,n)dx=x(2)-x(1)% initialization & B.C x-0.1 t0 0.3u=ones(1,n)n_start= 9 %0.1 x distance startn_stop= 25 %0.3 x distance endu(n_start:n_stop)=2uold=uui=u%time…

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                                                          26 Apr 2020 06:05 AM IST

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                                                            cool chopper

                                                            Objective:

                                                            OBJECTIVE learn how to design American chopper in Solidworks Acknowledgement Thank you learn solidworks.com Mr.J.W. Zuyderduyn for design content parameter & concept  I would like to thank skill Lync, Mr. Bharath Kumar, for entire 24/7 support in my design to make me learn the concept very clearly and completed…

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                                                            26 Apr 2020 06:04 AM IST

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                                                              Coding basics

                                                              Objective:

                                                                A = 1     2     3     4     5 Which define a matrix in (5 rows, 1 column) B = 1                      2                      3…

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                                                              21 Apr 2020 06:35 AM IST

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                                                                Linear Convection

                                                                Objective:

                                                                given condition length (l)= 1m velocity at all node is 1m/s except from dx point 0.1 to 0.3 to 2m/s c=1 time step dt=0.01 time t=0.4 number of time step =t/dt for different nodes with above boundary condition are compared case 1   where n=20 clear allclose allclcl=1n1=20c=1dt=0.01 %time stept=0.4 %time % calculationx1=linspace(0,l,n1)dx1=x1(2)-x1(1)%…

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                                                                21 Apr 2020 06:34 AM IST

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                                                                  calculation Of Organic hydrocarbons

                                                                  Objective:

                                                                  clear allclose allclc% stiochiometric combustion for alkane,alkene,alkyne% ar = Stoichiometric co-efficient% n = Number of moles of Cn= [1:10};%alkane=CnH2n+2%alkene=CnH2n%alkyne=CnH2n-2% formula for arar_alkane=(3*n+1)/2ar_alkene=(3*n)/2ar_alkyne=(3*n-1)/2figure(1)plot(n,ar_alkane,'r')hold onplot(n,ar_alkene,'k')hold…

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                                                                  21 Apr 2020 06:32 AM IST

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                                                                    CFD simulation on Gear box

                                                                    Objective:

                                                                    Gearbox house assemble of gears the rotation of gears can be studied to find the sloshing effect of multiphase materials slosh slosh refers to the movement of liquid inside another object (which is, typically, also undergoing motion). Strictly speaking, the liquid must have a free surface to constitute a slosh dynamics…

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                                                                    31 Mar 2020 07:31 AM IST

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                                                                      CHT analysis on graphics card

                                                                      Objective:

                                                                      Analysis in Graphics card external flow analysis on a graphics card with source as processor & flow is laminar the base model with fluid volume Name selection Mesh case1 case2 refine mesh nearby graphics card region sphere of inflation method Inputs BC calculation code clear all; close all; clc; rho=1.225; p=(2*(65+40.505))/1000;…

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                                                                      30 Mar 2020 10:33 AM IST

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                                                                        CFD Combustion Study

                                                                        Objective:

                                                                        Combustion Combustion is a chemical process in which a substance reacts rapidly with oxygen and gives off heat. The original substance is called the fuel, and the source of oxygen is called the oxidizer. During combustion, new chemical substances are created from the fuel and the oxidizer. These substances are called exhaust.…

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                                                                        29 Mar 2020 06:30 AM IST

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                                                                          CFD analysis on Cyclone Separator

                                                                          Objective:

                                                                          Cyclone Separator Cyclone Separator is a means of separating different liquid phases (different liquid densities), or, separating particles from a gas stream. Cyclone separators often form part of a pre-cleaning stage prior to a gas or liquid being discharged. This article focuses on gas cyclone separator. gas cyclone…

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                                                                          20 Mar 2020 05:52 AM IST

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                                                                          Gate Valve Parametric Study

                                                                          Objective:

                                                                          Gate valve Gate valves are often used when minimum pressure loss and a free bore is needed. When fully open, a typical gate valve has no obstruction in the flow path resulting in a very low-pressure loss, and this design makes it possible to use a pipe-cleaning pig. A gate valve is a multiturn valve meaning that the operation…

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                                                                          10 Mar 2020 04:12 AM IST

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                                                                          Engine Chassis

                                                                          Objective:

                                                                          CHASSIS command Used sketch projected curve sweep extrude, extrude cut fillet dome Procedure Add picture in the midplane sketch Picture with reference started design. Initially start the sweep profile. a guide is created from the bottom of the chassis profile with midplane and bottom plane diagram 3D curve by projected…

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                                                                          08 Mar 2020 07:13 AM IST

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                                                                            Gas tank American chopper Assembly

                                                                            Objective:

                                                                            Gas Tank command Used sketch surface sweep surface loft Mirror split line surface offset surface knit fillet thicken sweep cut Extrude cut   Procedure with reference to the midplane sketch picture path of the upper tank of sweep is created profile is created on the right plane sweep surface. on the top view draw profile…

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                                                                            08 Mar 2020 07:13 AM IST

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                                                                              Rayleigh Taylor Instability

                                                                              Objective:

                                                                              mathematical models Richtmyer–Meshkov instability (RMI) occurs when two fluids of different density are impulsively accelerated. Normally this is by the passage of a shockwave. The development of the instability begins with small amplitude perturbations which initially grow linearly with time. This is followed by…

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                                                                              02 Mar 2020 11:42 AM IST

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                                                                                Rear wheel Front Fork

                                                                                Objective:

                                                                                REAR WHEEL Rim revolve to create rim extrude and extrude cut are used to create spokes pattern are used to 3 spokes filet to finish Rim. The rotor is created by using extrude and extrude cut hole & pocket create a pattern to complete the rotor. extrude and fillet are used to create caliper, extrude and extrude cut…

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                                                                                20 Feb 2020 10:37 AM IST

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                                                                                  Design of Oil Tank Chain Pedal using Solid works

                                                                                  Objective:

                                                                                  OIL TANK the sketch is created on top plane  & midplane extrude in a different part. combine features are used to get the intersecting region of the part. shell is used to create a hollow shape. filleted edges to complete it. CHAIN profile of chain is created in midplane (front plane), chain link is created by…

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                                                                                  15 Feb 2020 05:38 AM IST

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                                                                                    CHT analsis on exhaust port

                                                                                    Objective:

                                                                                    CHT Conjugate Heat Transfer (CHT) interaction of solid and fluid body. CHT analysis is mostly used to find heat transfer co-efficient at the non-uniform or were important study which cannot be the calculated analytically. It requires a multi-region mesh to have a clear definition of the interfaces in the computational…

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                                                                                    15 Feb 2020 03:02 AM IST

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                                                                                    Design of Transmittion belt kickstand Fender using Solid Works

                                                                                    Objective:

                                                                                    Transmission belt the sketch is created as per dimension on a plane front view. extrude command and fillet feature is used to create the part. For real-time part, the model is provided by appearance as rubber KickStand the sketch is created on different and guide curve is created for reference of a guide plane loft tool…

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                                                                                    10 Feb 2020 07:25 AM IST

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                                                                                      flow analysis in Ahmed body

                                                                                      Objective:

                                                                                      Purpose for simulation Study Of flow physics on and around the car body in the prototype model. why to make fuel-efficient cars to the market by reducing pollution. the main parameres affect is the Drag force and is cost expense to calculate in the experiment so it is very easy to predict in simulation by lowering drag…

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                                                                                      08 Feb 2020 04:58 AM IST

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                                                                                        Simulation of Flow through a pipe in Matlab OpenFoam 2

                                                                                        Objective:

                                                                                        Matlab code i.e-wedge 45 clear all; close all; clc; % % Diameter of pipe in inch to meter % % P=3.14*d; % % A=(3.14/4)*(d^2); % % D=4*A/P=d; d=8.563/1000; %% which is simply ID of 1/8\" pipe r=d/2; theta=45; % wedge angle % % Arc length % % property of water at 30c al=2*3.14*r*(theta/360); rho=995.65; mu=0.798*10^-3; nu=mu/rho;…

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                                                                                        17 Jan 2020 06:42 AM IST

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                                                                                        Simulation of Flow through a pipe in Matlab OpenFoam

                                                                                        Objective:

                                                                                        velocity profile varies according to the spatial distance in the pipe shear stress variation is the spatial distance   Entry length of laminar flow is given by `L=0.05*Re*D_h` Hydraulic diameter is given by `D_h=4A/P` `A=π/4 D^2` `P=πD` By substituting A,P in `D_h` `D_h=D` `Re=vD/ϑ` Assuming Diameter=1/8”…

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                                                                                        15 Jan 2020 09:09 AM IST

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                                                                                        literature review on FVM method

                                                                                        Objective:

                                                                                        Diffusion equation Considering the Finite Volume Method for 1D Diffusion Analysis From Malasekara For Example-4.1 Pg-88  Where Area A=10e-3 & K=1000 w/mk. Where the bar is discretized into 5 nodes From general conduction equation  `Q=-KA (dT)/dx` To find Temperature in-between nodes Considering From node…

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                                                                                        14 Jan 2020 09:54 AM IST

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                                                                                        Anlysis of BlockMesh with Different Gradient

                                                                                        Objective:

                                                                                        Give condition Analysis of blockMesh in OpenFoam with 0.2,0.5,0.8, 1 gradient the give condition is divided into 6 block for fine gride spacing below represent the blocks and nodes Table represent node & repective co-ordinate system nodes Co-ordinates nodes Co-ordinates 0 (0 0 -0.5) 13 (0 0 0.5) 1 (80 0 -0.5) 14 (80…

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                                                                                        29 Sep 2019 08:32 AM IST

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                                                                                        1D supersonic simulation by Macormack Method both conservation non-conservation form

                                                                                        Objective:

                                                                                        The property change only y direction are change in consideration 1 Dimension flow note: all the property are non dimenstion form Given length of nozzle l=3 number of mesh n=31 &  61 for grid in depended analysis     To evaluate conservation & non conservation form by Macormack method, grind independed…

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                                                                                        27 Jul 2019 01:02 PM IST

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                                                                                          Week 3 - Taylor table method and Matlab code

                                                                                          Objective:

                                                                                          Central difference schemeFrom Taylor series Taking four point from the base LHS 2 point RHS side two point (d^2 u)/(dx^2 )=af(x-2)+bf(x-1)+cf(x)+df(x+1)+ef(x+2)Find the vale of a b c d e skewed RHSFor second point (i-2)f(x-2*dx)=f(x)-f^' (x) (2*dx)+f^'' (x) (4dx^2)/2!-f^''' (x) (8dx^3)/3!+f^iv (x) (16dx^4)/4! -f^v (x)…

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                                                                                          03 Feb 2019 10:19 AM IST

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                                                                                            Week 3 - Discretization basics

                                                                                            Objective:

                                                                                            close allclc% analytical function= sin(x)/x^3;% analytical derivative% f'(x)=(x^3*(cosx)-sin(x)*3*x^2/x^6;x=pi/3;analytical_derivative=((x^3)*(cos(x))-(sin(x)*3*(x^2)))/(x^6);% numerical derivative% forward_differencing=(f(x+dx)-f(x))/dx% central differencing = (f(x+dx) - f(x-dx))/2*dx;% fourth order approximation = (f(x-2*dx)-8f(x-dx)+8f(x+dx)-f(x+2*dx))/12*dx;dx=…

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                                                                                            03 Feb 2019 10:19 AM IST

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                                                                                              Week 3 - Units of quantities

                                                                                              Objective:

                                                                                              kinematic viscosity The kinematic viscosity (also called "momentum diffusivity") is the ratio of the dynamic viscosity μ to the density of the fluid ρ. It is usually denoted by the (ν) and has unit m^2/s ν=μ/ρ Dynamic viscosityviscosity is a measure of internal resistance. Dynamic viscosity is the tangential…

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                                                                                              03 Feb 2019 10:19 AM IST

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                                                                                                2D Heat conduction steady state transient analysis

                                                                                                Objective:

                                                                                                heat conduction equation (diffusion equation) `(∂T)/dt+α∇^2 T=0` `(∂T)/dt+α((∂^2 T)/(∂x^2 )+(∂^2 T)/(∂y^2 )+(∂^2 T)/(∂z^2 ))=0` BOUNDARY CONDITION Square plate with equal number of grids Length of domain l=1 Number of grid n=11 So length in x & y are same (l=lx=ly)…

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                                                                                                03 Jan 2019 09:35 AM IST

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                                                                                                Taylor Table skewed method

                                                                                                Objective:

                                                                                                Central difference scheme From Taylor series Taking four point from the base LHS 2 point RHS side two point (d^2 u)/(dx^2 )=af(x-2)+bf(x-1)+cf(x)+df(x+1)+ef(x+2) Find the vale of a b c d e skewed RHS For second point (i-2) f(x-2*dx)=f(x)-f^\' (x) (2*dx)+f^\'\' (x) (4dx^2)/2!-f^\'\'\' (x) (8dx^3)/3!+f^iv (x) (16dx^4)/4!…

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                                                                                                03 Jan 2019 09:06 AM IST

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