Step-wise explanation of the code: 1. Matlab code is started with clear , close , clc command clear all : This command is used to clear all the data stored in the workspace. close all : This command is used close all figures and close plots. clc : This command clears the command window. 2. The input value for θ1…

% function for ODE function [dtheta_dt] = ode_func(t,theta,b,g,l,m) theta1 = theta(1); theta2 = theta(2); dtheta1_dt = theta2; dtheta2_dt = (-(b/m)*theta2 - (g/l)*sin(theta1)); dtheta_dt = [dtheta1_dt;dtheta2_dt]; end % Main script for ODE clear close clc % Solving the Second order ODE and show the animation b = 0.05;…

Genetic Algorithm: Genetic Algorithm is based on evolution theory proposed by Charles Darwin. It is a natural selection process Genetic algorithm always returns the minimum values. we can use Genetic Algorithm for problems where there is a clear way to evaluate fitness. If your search space is not well constrained or your…

THEORY: The official record of thermodynamic values at different temperatures has been stored by NASA in the form of polynomials with specified constants ranging from one to fourteen for various species. In order to quantify the values, the polynomials can be solved with defined temperature values in accordance with our…

Aim: Write a program in Python to solve and graph the Otto cycle. Objective : Solve and capture the various state variables of the Otto cycle and plot its p-V diagram. Calculation of the thermal efficiency of a given Otto cycle. Theory: The Otto cycle is the ideal cycle for a spark-ignited reciprocating engine. In most…

AIM: To animate the swing of a simple pendulum and replicate its fleeting character. OBJECTIVE : 1. To write a program in Python that solves the second-order ODE corresponding to the motion of a simple pendulum and to plot its angular displacement and angular velocity wrt time. GOVERNING EQUATIONS : To solve the above…

AIM: To write codes in Python to perform curve fitting. OBJECTIVE : 1. To wite codes to fit a linear and cubic polynomial for the Cp data. 2. To plot the linear and cubic fit curves along with the raw data points. 3. To measure the fitness characteristics for both the curves. 4. To solve with Splitwise method THEORY: Curve…

AIM: Write code for the provided data output file as a challenge parsing data analysis. OBJECTIVE 1) The script should be written to obtain the plot for the data input provide. 2) Checking the compatibility of the code with graceful exit, if non- compatibility file provided write code " file not recognized. please provide…

Aim: Derive fourth-order approximations of the second-order derivative using the central differential scheme, skewed right-sided difference, and skewed left-sided difference using the Taylor table method and compare the analytical derivative with the obtained values ​​for the given function Central difference Skewed right-sided…

  Aim:Solving the steady and unsteady 2D heat conduction problem objective: Steady state analysis & Transient State Analysis Solve the 2D heat conduction equation by using the point iterative techniques that were taught in the class. The Boundary conditions for the problem are as follows; Top Boundary = 600 K…

Aim:Simulation of 1D Super-sonic nozzle flow simulation using the Macormack Method. Objective:  Simulate isentropic flow through a Quasi 1D subsonic nozzle by deriving conservative and non-conservative forms of governing equations and solving them by implementing the MacCormack technique using MATLAB. Problem Statement:…

Pipe flow simulation in OpenFoam Aim: Simulate axisymmetric flow in a pipe through foam. Objective: Verify a completely developed flow rate profile using its analytical profile, the hydrodynamic length using the numerical result, and the maximum velocity and pressure drop for a fully developed flow.  Verify wall shear…

Aim:  FVM Literature Review. Objective What is Finite Volume Method(FVM) Write down the major differences between FDM & FVM. Describe the need for interpolation schemes and flux limiters in FVM. Description  (use Versteeg as a reference)The finite volume approach is what?The finite volume method (FVM) is…

Validation study of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation Target: The week 11 challenge is carried over into this one.You will use the Symmetry Boundary Condition to reproduce the identical issue from Week 11 in this exercise. As with the Week 11 task, you will simulate the angles below using both…

Simulation of a backward facing step in OpenFOAM  AIM: To simulate incompressible laminar viscous flow through the backward facing step geometry. Introduction: In this task, the flow through the backward-facing step has been modelled using the OPENFOAM software's icoFOAM solver. As a consequence, it is possible to…