Curve fitting and checking the goodness of fit using MATLAB

Objective: Parsing a Thermodynamic data file to calculate Molecular weight of the individual elements present in the data file and its thermal properties w.r.t temperature. Description about the data file: NASA came up with polynomials that can be used to evaluate thermodynamic properties such as Cp, H and S. They…

Objective: To Create a Rankine Cycle Simulator and to calculate the state points of the Rankine Cycle To plot the corresponding T-s and h-s plots for the chosen set of inputs To calculate some of its output parameters Description: The Rankine cycle is the basis of all large steam power plants. Steam based Rankine…

Objective: To perform a combustion simulation on the combustor model To plot the variation of the mass fraction of the different species in the simulation To check the effect of adding the water in the fuel by adding the water content in the fuel from 5% to 30% by mole Description:            …

  Objective:  1. To know any four empirical models used for cyclone separator efficiency. 2. To Perform an analysis and to calculate pressure drop & separation efficiency of the cyclone separator model by varying the particle diameter and particle velocity individually. Cyclone separator: Cyclonic separation…

Objective:            To perform the four simulations to analyse the slosh and flow pattern of lubricant in the gear box and then to compare the results among all the four cases. Part 1: 20% Immersion, Fluid - Engine oil. 30% Immersion, Fluid- Engine oil. 20% Immersion,…

Objective: To write a code that can solve an otto cycle To plot PV diagram & To find thermal efficiency of the engine. Description: The four-stroke air standard Otto cycle is made up of the following four internally reversible processes: The piston moves within the cylinder between TDC and BDC. In order to complete…

Objective:                   To write a code to perform curve fitting for the given Temperature vs Cp data and to check the goodness of the obtained curve.   Description:                   Curve fitting is one of the…

  Objective: 1. To write a programme to solve the ODE which is of second order using matlab. 2. To create a video showing the motion of pendulum.   Description:  The way the pendulum moves depends on the Newtons second law. When this law is written down, we get a second order Ordinary Differential…

Objective: To write a program in MATLAB to simulate the forward kinematics of a 2R Robotic Arm. Description: Let us say the length of links of 2R robotic arm be l1 & l2 respectively. Angle1 and Angle2 are the angles made by the links w.r.t horizontal. let us say the hinged position of robotic arm is origin. Therefore,…

Objective: To write a Matlab program to calculate drag force against a cyclist Description: Drag Coefficient: The drag coefficient quantifies the resistance of an object in a fluid environment. It is not an absolute constant for a body’s shape because it varies with the speed and direction of flow, object shape…

Objective: To compare the results of Symmetry vs Wedge Vs HP equation. Description: The subject of boundaries is quite complex because their role in modelling is not simply that of a geometric entity but an integral part of the solution and numerics through boundary conditions or inter-boundary ‘connections’.…

Objective:  To write a program in Matlab that can generate the computational mesh automatically for any wedge angle and grading schemes validating with the Hagen poiseuille's equation to check the fedility of the solution. Showing the fully developed velocity profile and Post processing the velocity and shear…

Objective: To study and understand                      1. The difference between FDM and FVM.                     2. Interpolation schemes in FVM                   …

Objective: To find the change in Velocity magnitude profile with respect to simple grading for a choosen geometry. Geometry: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the y direction = 10 Use a graded mesh. Grading factor near all walls should be 0.2, 0.5,…

Objective: To solve eigen values and spectral radius for a matrix Ax=B using iterative solvers                  To find the effect of spectral radius on solution Basics of matrices:               A vector which satisfies Ax = λx…

Objective: To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle using both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's technique and comparing their solutions. Description: We consider the study, isentropic flow…

Objective: To observe the effect of time step on transient state methods. Description: `CFL=α(Δt)/(Δx^2)` i.e.. `CFL∝Δt` If Δt increases then CFL increases Case1 - Explicit Method: close all clear all clc nx = 20; %nx & ny will be nodes along the length…

Objective: To compare the Steady state analysis vs Transient state analysis. Description:  Basically, every system has a transient and a steady state. The steady state is the state that is established after a certain time in your system. The transient state is basically between the beginning of the event and…

Objective:  Solve the 2D heat conduction equation by using the point iterative techniques       1. Jacobi      2. Gauss-seidel      3. Successive over-relaxation Your absolute error criteria is 1e-4 1.Steady state analysis  2.Transient state analysis using explicit…

Objective: 1. To write a programme to solve the ODE which is of second order using matlab. 2. To create a video showing the motion of pendulum.   Description:  The way the pendulum moves depends on the Newtons second law. When this law is written down, we get a second order Ordinary Differential Equation…

Objective: Numerical solution to the one-dimensional Linear Convection equation. 1. Assume that the domain length is L = 1m 2. The initial velocity profile is a step function. It is equal to 2m/s between x= 0.1 and 0.3 and 1m/s everywhere else 3. Use first-order forward differencing for the time derivative 4. Use first-order…

Objective: Numerical solution to the one-dimensional Linear Convection equation. 1. Assume that the domain length is L = 1m 2. The initial velocity profile is a step function. It is equal to 2m/s between x= 0.1 and 0.3 and 1m/s everywhere else 3. Use first-order forward differencing for the time derivative 4. Use first-order…

Aim:To derive 4th order approximations of the second order derivative using 1. Central difference 2. Skewed right sided difference 3. Skewed left sided difference Method used: Taylor table of finite difference method. Theory:   The first step in obtaining a numerical solution is to discretize the geometric domain…

Aim: To write a code that compares the approximation error of first, second and fourth order approximations of first derivative against range of dx Description: The function that I'm using is f(x)=sin(x)x3">f(x)=sin(x)x3f(x)=sin(x)x3 by taking the first derivative at x=π3">x=pi/3. In this…

Objective: To perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%.  Description:  When flow goes through a valve or any other restricting device it loses some energy. The flow coefficient is a designing factor which relates head drop (Δh) or pressure drop (ΔP)…

Aim: To study and perform R-T instability simulation between two different fluid medium with different grid size and to validate the results by Atwood numer. Rayleigh–Taylor (R–T) instability: The Rayleigh–Taylor instability occurs when a high-density (ρ1) fluid is placed over a lower-density (ρ2)…

Objective: To Simulate the two-dimensional flow past a circular cylinder in different laminar flow regimes with the steady and unsteady case. Software used: Ansys 2019 R3. Description:  Consider a stream of fluid flow past a circular cylinder. As fluid passes the topmost point of the cylinder, it finds itself unable…

Aim: To find maximum temp attained by processor after simulation, to find out the heat transfer coefficient at appropriate areas of the model and to Identify potential hotspots on the model. Case Description:  In this project, A steady state conjugate heat transfer analysis on a Graphic card model is done. Graphic…

Objective: To Perform a CHT analysis on exhaust port manifold.                   To Perform the analysis with different turbulence models and choosing the best.                    To verify the HTC predictions Description on…

Objective: To perform external flow simulation over an Ahmed body. Ahmed Body: The Ahmed Body was first created by S.R. Ahmed in his research “Some Salient Features of the Time-Averaged Ground Vehicle Wake” in 1984. Since then, it has become a benchmark for aerodynamic simulation tools. Ahmed body is a bluff…

COMMENTS: For Grid independence test you need to take 3 different mesh sizes, compare them and give a conclusion on it. ===========================================================  Title: Steady state simulations on the mixing tee geometry with the help of Ansys Fluent Objective: The main objective is to find out…

Aim: To write a code that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative. Method used: Discritization using Taylors series which converts PDE to Algebraic form Description:  The function that I'm computing is f(x) = sin(x)/x^3 by taking…

Aim: To write a code that compares the approximation error of first, second and fourth order approximations of first derivative against range of dx Description: The function that I'm using is `f(x) = sin(x)/x^3` by taking the first derivative at `x = pi/3`. In this i will show how the output of 1st, 2nd and 4th order derivatives…