Week 5.1 - Mid term project - Solving the steady and unsteady 2D heat conduction problem

Answer: In this project, the boundary condition needs to change for the front & back faces mentioned in the blockMeshDict dictionary file & also in U & p dictionary files for the same faces and the wedge angle is required to change from 5 degree to 10, 25 & 45 degree respectively for each new case. …

Hagen- Poiseuille's equations    Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physic law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section The assumptions of…

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

Simulation of a backward-facing step in OpenFOAM Aim:- Simulate an incompressible-laminar-viscous flow through the backward facing step geometry. Perform transient simulation; choose solver based on the described physics of the flow in problem statement. Explain simulation process and way of setting up the problem statement…

Aim: Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method. In this challenge you are going to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. You will derive both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's…

Objective:   1. 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 Bottom Boundary = 900 K Left Boundary = 400 K Right Boundary…

Derivation of the 4th order approximation of the Second-Order Derivative   Using the Central Difference method: Since we’re deriving using central difference; our numerical stencil will look like this, Here, we’re computing 4th order approximation at point (i), where we take information from…

Aim:    To create rankine cycle simulator using MATLAB. To demonstrate the T-s and h-s plots for the given set of inputs. Objectives: To create rankine cycle simulator using MATLAB. The code should calculate the state points of the Rankine Cycle (any type of your choice) based on user inputs. The h-s plot…

THEORY Specific heat (cp): Specific heat is defined by the amount of heat needed to raise the temperature of 1 gram of a substance 1 degree Celsius (°C). Water has a high specific heat capacity which we'll refer to as simply "heat capacity", meaning it takes more energy to increase…

THEORY & INTRODUCTIONS :-   The genetic algorithm is inspired by the process that drives biological evaluation. The process of evaluation starts with the selection of fittest individuals from a population. Then they produce offspring which inherrit the charecterastics of the parents and will be added to the next generation.…

Step 1: Creating an ODE function. therefore writing these formulas into Matlab as a function of an ODE. The function is given below, function [dtheta_dt] = ode_func(t,theta,b,g,l,a) theta1 = theta(1) theta2 = theta(2) dtheta_dt = theta2; dtheta2_dt = -(b/m)*theta2 - (g/1)*sin(thetaa1); dtheta_dt = [dtheta_dt;…

% simulate the forward kinematics of a 2R Robotic Arm. close allclear allclc %inputL1=1;L2=0.5; theta1=linspace(0,90,10)theta2=linspace(0,90,10) %loopct=1for i = 1:length('thetal') THETA1 = theta1(i); for j = 1:length('theta2') THETA2 = theta2(j); x0 = 0; y0 = 0; x1 = L1*cosd(THETA1); y1 = L1*sind(THETA1); x2 = x1+L2*cosd(THETA2);…