Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

Objective: In this project, we will have to setup the domain for analysis of flow over an airfoil at subsonic and supersonic regime. The airfoil will be analysed at 3 different angles of attack and the lift and drag coefficient will be compared in all cases Create domain for flow analysis Setup simulation for subsonic…

Question: You will be provided the model file of the car. This project is divided into two phases.   Phase 1: Geometry cleanup LINK TO DOWNLOAD GEOMETRY    NOTE: Dimensions of the geometry are in INCHES. Make sure you are scaling it properly in CONVERGE STUDIO so that dimensions are in meters as converge…

Objective: Once you have watched the video, setup the case in CONVERGE Once you have the base setup ready, run the case for three different base mesh sizes dx = dy = dz =2e-3 m dx = dy = dz =1.5e-3 m dx = dy = dz =1.0e-3 m (If this is too much for your PC, use 1.2e-3 m) Post process your results and document your findings…

Objective: Simulate flow over a 4 digit airfoil i.e NACA 2412 Airfoil. Visit the site to get .DAT file for NACA 2412 Airfoil, http://airfoiltools.com/airfoil/naca4digit  You will have to calculate the following, Drag co-efficient Vs Angle of Attack Lift co-efficient vs Angle of Attack Compare the…

Objective Baseline configuration Setup a flow simulation through a pipe Inlet Reynolds number should be 7,000  Re = (rho*V*D)/(Dynamic viscosity) Turbulence modelling - K-Epsilon Supercycling parameters - same as in the video Additional 3D outputs Add Y+ to your post.in file Grid dependence test Start with an…

Objective: Apply reynold's decomposition to the NS equations and come up with the expression for reynold's stress. Explain your understanding of the terms reynold's stress What is turbulent viscosity? How is it different from molecular viscosity?   Answer: Part 1: Deriving RANS equation To derive Reynolds Averaged…

Objective Setup a transient shock tube simulation Plot the pressure and temperature history in the entire domain - Explain the result Plot the cell count as a function of time - Explain the result It is expected to show the mesh generation using PARAVIEW. Also create an animation and upload it on You tube and provide the…

Objective: - Effect of SGS parameter on shock location In the Prandtl Meyer shock problem, look at the effect of SGS temperature value on cell count and the shock location It is expected to show the mesh generation using PARAVIEW. Also create an animation and upload it on You tube and provide the You tube link for an animaion…

Objective Write a detailed report. Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges) Show the plots for pressure, velocity, mass flow rate and total cell count. Also show the calculations on how you calculated an end time for the simulation. Create an animation in…

Objective: Simulating flow over a throttle body in steady state & transient condition. The throttle remain steady in steady state while position will chnage in transient condition. Write a detailed report. Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges) Show…

Objective: 1. For this challenge, we will be setting up a channel flow tutorial. 2. As you watch these videos, setup the case in CONVERGE 3. Make sure the inlet pressure and initial pressure are the same.  4. Once you have the base setup ready, run the case for three different base mesh sizes i.e You need to run 3…

Objective: Your challenge for this week is to create a domain suitable for the given helicopter fuselage geometry using ICEM CFD. The domain size is mentioned within the video i.e. Element size around the domain Prism element size Calculate Y+, First cell height, Number of layers as explained in the video and apply it…

Objective: Part 1: 20% Immersion, Fluid - Engine oil. 30% Immersion, Fluid- Engine oil. 20% Immersion,Fluid-n-heptane (c7h16). 30% Immersion,Fluid-n-heptane (c7h16). Part 2: What is Dynamic meshing? Give some other examples where dynamic meshing can be used.  What is the fluid Sloshing effect? Discuss whether the…

Objective: Find out the average mass flow rate at the outlet of a single-stage compressor which comprises 16 rotor blades and 32 stator blades Assume the rotational speed of 37500 rpm Choose an appropriate time step for the simulation Plot contour for static pressure static temperature Determine regions where high-temperature…

Objective: Simulate the motion of blades in a generic turbomachinery component using an unsteady approach. Assume blade rotation at 300rpm Choose an appropriate time step for the simulation and generate an animation file for the rotation. Answer: The project is about the simulating of generic turbomachinery ccomponent…

Objective: In this challenge, you are required to do the following. Describe Ahmed's body and its importance. Setup the domain and setup assuming body is travelling at 110 kmph Run the setup till convergence and plot for static pressure and coefficient of drag and lift to check for convergence Turn on Broadband- modelling…

Objective: What are the approaches by which you would model moving zones? Which approach would you use to model unsteady phenomena? Simulate rotary motion for the geometry given Plot the velocity profile of the fluid motion Answer: Part 1: To model the moving zones, two options are available which are moving reference…

Objective: Part 1: Do literature review of pitot static tube & establish the relation between total & static pressure. Part 2:  For the values of velocity given below calculate the total and static pressures and find the error in percentage for velocity.  Velocity(m/s) Gauge Pressure (Pa) 240 -2817…

 Challenge Description : In this challenge, you are required to do a literature review of various turbulence models explained in the Turbulence modelling video (Week-5) and explain why DNS isn’t feasible according to Kolmogorov's scale. For the below geometry performs a 3D simulation and explains the recirculation…

Objective: Consider the converging-diverging nozzle below with the dimensions.  For the following boundary conditions,    At Inlet, Pressure = 1atm and Temperature = 300K. The outlet pressure= 0.027 atm. In the operating conditions, consider the reference pressure to be zero. Plot:   The pressure, velocity…

Aim & Objective: Note: This challenge is a continuation of the week 11 challenge. In this challenge you will simulate the same problem as in week 1 but by applying Symmetry Boundary Condition. You will do the simulation for the below mentioned angles using both symmetry and wedge boundary conditions and validate…

Aim: In this challenge, you will simulate an axi-symmetric flow by applying the wedge boundary condition. The flow is laminar and flows through a constant cross-section pipe at an inlet Reynold's number of 2100. You can do a transient or steady state simulation and you will validate your results with the Hagen- Poiseuille's…

Aim: The aim is to create close volume of Cybertruck to perform external aerodynamics simulations.  Objective: For the given model, check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria. Target lengths for the different parts…

Aim: Surface wrapping on Automotive Assemblies of Engine, Transmission & Gearbox Model after merging them. Objective: For the given models, check for the geometrical errors and delete surfaces which are unwanted for Surface wrap as shown in the videos. After clearing geometry, Merge all 3 models and perform surface wrap.…

Aim: The aim is to create the single volume between BMW car & wind tunnel to perform external aerodynamics simulations.  Objective: For the given model of BMW car, check and solve all geometrical errors on half portion and Assign appropriate PIDs. Perform meshing with the given Target length and element Quality…

Aim: Performing CFD meshing on Turbocharger using ANSA Objective: For the given model, check for the geometrical errors to make appropriate volumes. Create and assign PIDs as shown in the video. Perform surface mesh with the given target lengths as per PIDs. Blade stage-1 = 1 mm Blade stage-2 = 1 mm Impeller = 2 mm…

Aim: Perform surface meshing on Pressure Valve. Objective: For the given model, check for the geometrical errors and perform Topology cleanup accordingly. Set three different target lengths as three different cases and mesh the model.  Target length = 1mm, 3 mm and 5 mm (i.e. 3 cases) Element type = Tria Apply any…

Aim: In this challenge, you are going to simulate an incompressible-laminar-viscous flow through the backward facing step geometry. You should perform a transient simulation. The solver can be chosen based on the described physics of the flow. You need to explain the entire simulation procedure (how you set up the case).…

Objective: This challenge has two parts which are as follows: Part 1: Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation using line probes at different locations of the combustor. You need to plot for CO2, H2O, CH4, N2, O2,…

Aim: To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle using MacCormack's technique in MATLAB. Objectives: - Derive both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's technique. - Required to determine the steady-state temperature…

CHALLENGE FOR GATE VALVE SIMULATION: Objective: For this challenge, you will have to perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%.  Obtain the mass flow rates at the outlet for each design point. Calculate the flow coefficient and flow factor for each opening and plot…

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective:- To write a few words about any four empirical models used to calculate the cyclone separator efficiency.  To perform an analysis on a given cyclone separator model by varying the particle…

Objectives: Run the simulation by varying the velocity from 1m/sec to 5m/sec for at least 3 velocities and discuss the results. Find out the maximum temperature and heat transfer coefficient attained by the processor. Prove that the simulation has achieved convergence with appropriate images and plots. Identify potential…

Model & Simulation Setup Process: The model has been created in Ansys Spaceclaim. Two square with 20mm X 20mm has been created which will represent water & air respectively.  Shared topology has been created using following option. The mesh has been generated using Ansys Mesh workbench by applying 0.5mm element…

Aim: Solving 2D heat conduction equations using Implicit & explicit methods. Objective: For steady state condition, only implicit method needs to implement while for transient condition, both methods need to be implemented to solve the 2D heat conduction equation. For implicit method, point iterative methods are requried…

Aim: To carry out the Conjugate Heat Transfer analysis of Exhaust Port.  Objective: After preparing the geometry in the Ansys Spaceclaim, carry out the simulation in Ansys Fluent to determine the velocity & temperature distribution inside the exhaust port. Following are the main objective that are required to present into…

Q1. Describe Ahmed's body and its importance. Ans.: The ahmed body is also known as bluff body. It was developed for the research purposes & also for the experimental model to validate the result of the external flow simulation. It helps the enginners & researchers to capture essential flow characteristics around…

FVM: - The basis of the Finite Volume Method is the integral conservation laws. The essential idea is to divide the domain into the many control volumes or cells & approximates the integral conservation law on each of the control volumes.  FDM vs FVM: - A finite difference method (FDM) discretization is based…

Aim: The objective of the project is to simulate the flow over the cylinder for the steady state & unsteady state conditions. The simulation will be carried out for various Reynolds number. The simulation will be carried out in the Ansys Fluent workbench. For the first part, simulation for Re 100 in steady &…

Objective: The objective of the project is to perform steady state simulation to determine the mixing effectiveness when hot air with temperature 36°C mixes with the cold air with temperature 19°C in mixing tee joint. The results must be provided for following conditions: The required images from the simulation:…

Given function: f = exp(x)*cos(x) 2nd order derivative of the function f'' = -2*exp(x)*sin(x) 1) Developing Taylor Table for the Forward Differencing Scheme Approximation method For FDS, f = (af(x) + bf(x+dx) + cf(x+2dx) + df(x+3dx) + ef(x+4dx))/(dx^2) Table: 2) Developing Taylor Table for the Backward Differencing…

Project Title:  DESIGN OPTIMISATION OF A FLAT FINNED HEAT SINK FOR THE ELECTRONIC COMPONENT Objective: The aim of the project is that the temperature of the electronic component should be maintained below 80 ˚Cwhen heat rate is 80W & ambient temperature is 30 ˚C. The design of the heat sink should be…

Project Description: Main Code: % Writing the program to extract 14 co-efficient & calculate specific heat, % entropy & enthalpy for all the species provided in the data file. % Objective: % 1. Extract all 14 coefficient & calculate specific heat, entropy & % enthalpy for all the species % 2. Calculate…

About Rankine Cycle: The rankine cycle is the ideal thermodynamic cycle which is the basic building block of the vapor power plants. It is widely used in the power plants. In the cycle, the heat is generated in the boiler by one of the fuel, converting the water into the steam. The steam then expands through a turbine…

About Rankine Cycle: The rankine cycle is the ideal thermodynamic cycle which is the basic building block of the vapor power plants. It is widely used in the power plants. In the cycle, the heat is generated in the boiler by one of the fuel, converting the water into the steam. The steam then expands through a turbine…

Equations to calculate Specific Heat, Enthalpy and Entropy: In above equations, a1 to a7 are the coefficients.  Main Code: % Writing the program to extract 14 co-efficient & calculate specific heat, % entropy & enthalpy for all the species provided in the data file. % Objective: % 1. Extract all 14 coefficient…

The second order ODE for the Simple Pendulum Motion with Damping is as follows: `(d^2theta)/dt^2 + (b/m) * (d theta)/(dt) + g/l*sin theta = 0` The equation has second order derivative involved, because of that equation is required to convert into two first order equation to solve using the MATLAB function.  Following…

The stalagmite is a special type rock that usually formed inside the cave. The stalagmite normally rises from the floor. The rock formed because of the accumulation of the materials on the floor from the dripping of the ceilings.  The stalagmite function got name from this particular rock because of the similarity…

Main Code: % Writing program to solve the otto cycle plotting the PV Diagram. % Otto cycle is the idealised thermodynamic cycle that describes the % working of the spark ignition internal combustion engine. The otto cycle % describes by PV diagram. The otto cycle completes its process in four % stages. % To connect all…

The drag coefficient associated with different  shapes are as follows and the same has been considered for the code as well:   Code: % Program to calculate the drag force aginast a cyclist % Objective: To calculate drag force seperately for various air velocity & % for drag coefficient associated with different…

% Writing program to create animation of forward kinematics of the % robotics arm movement % The arm has two links joined using rotational joint and the arm joined at % the base also has the rotational joint % Objective: Creating animation of each arm to move using the predefined % steps & angular movement close all…

% Developing code for Stoichiometric Combustion Process Calculator % About: The stoichiometric combustion is the ideal combustion process in % which right amount of mixture of oxygen & fuel has been used for the % combustion process & the process generates the optimum amount heat % through the process and maximum…

1. Function for first order error approximation for given function function error_FDS = first_order(x,dx) % Writing function for the first order approximation for the main program % called "discretization_for_range_of_dx.m". % The function will calculate the absolute error which will be derived by % substracting it from…