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

                              Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method Aim: To simulate the isoentropic flow through a quasi 1D subsonic-supersonic nozzle using conservation and non-conservation forms of governing…

                                                         Exploring the GUI of GT-POWER 1. GT-SUITE is a popular 1D simulation tool with capabilities and libraries aimed at a wide…

AIM: Write a code to simulate the Rankine cycle in MATLAB. INTRODUCTION:  1. THEORY OF RANKINE CYCLE The Rankine cycle is an idealized thermodynamic cycle that describes how the energy is extracted from working fluid that moves between heat source and sink. It is commonly used in power generation plants that harness…

AIM: Write a code to optimize the stalagmite function and find the global maxima of the function. Plot the graphs for different studies to understand the behavior of the genetic algorithm and for Fmax vs no. of iterations. OBJECTIVES: understand concepts of genetic algorithm  write a code to optimize stalagmite function…

AIM: To write a program to extract the coefficients and calculate the thermodynamic properties of various species in the data file. GOVERNING EQUATIONS:                                              `C_p /R…

Aim: To simulate the motion of a simple pendulum by solving the ordinary differential equation of motion of the pendulum. Governing equation: `(d^2θ)/(dt^2)+(b/m)(dθ)/dt+g/Lsinθ=0` this is the ode for the motion of a simple pendulum with a damping effect. Procedure: First, define the function to…

AIM: To simulate the forward kinematics of the 2R arm manipulator in MATLAB. PROBLEM STATEMENT:                                         L1 is the length of link1 and l2 is the length of link 2. `theta_1`is the angle…

Objective: To perform steady and unsteady analysis of 2D heat conduction using different point iterative techniques. Given: boundary conditions of domain top 600K, bottom 900K, left 400K, and right boundary 800K Steady-state 2D heat conduction `(del^2T)/(delx^2)+(del^2T)/(dely^2) = 0`  Equation for 2D steady-state…

Aim: To derive a fourth-order approximation of second-order derivative using the Taylor table method and compare the different schemes. Objective: 1. To derive central skewed-right and skewed-left differencing schemes                 2. Compare the absolute error with the analytical…