Objective: To compute and compare the truncation error in the numerically derived solutions of a second order derivative using the fourth order approximation of central, right sided skewed and left sided skewed differences methods with that of the solution derived analytically, using MATLAB Theory: Talyor series is often…

Solving Steady and unsteady 2D heat conduction equation   Aim: To compute and compare the solutions and errors from the different point-iterative solving techniques such as Jacobi, Gauss-Seidel & Successive over relaxation method for the implicit scheme of differencing for both Transient and steady states of 2D…

 Objectives: Compute, simulate and compare the flow through a supersonic nozzle using both conservative and non conservative  governing equations to solve. perform the computation using Macormack explicit difference method to solve both the conservative and non conservative forms of the governing equation for…

 Aim: To briefly explain the simulation of an incompressible-laminar-viscous flow through a backward facing step geometry. To perform two case studies, one, to do the above simulation without using any grading factor and another, to simulate the above using a grading factor of 0.2, i.e, the cells should be finer at…

In computational fluid dynamics there are 3 numerical method based solvers to solve the governing Navier-strokes equations, Namely, 1. Finite Difference Method 2. Finite Element Method 3. Finite Volume Method Finite Difference Method: The grid is linear and aligned so that all grid points lie in a straight line. Mainthing…

Objective : To simulate the Hagon-Poiseuille flow through a pipe in OpenFOAM  To write a MATLAB code to automate the generation of the computational mesh for any chosen wedge angle(i.e., is less than 5 degrees) and grading schemes. To show that the velocity profile of a baseline mesh matches with the Hagen Poiseuille…

AIM: Validation studies of Symmetry Boundary conditions Vs Wedge Boundary conditions in OpenFOAM Vs in Analytical H.P. Equation. Also study on varying the wedge angle for simulation using both the boundary conditions. Expected Results: Validate Hydro-dynamic length with the numerical result Validate the fully developed…

Aim : To Write a program in Matlab to simulate the forward kinematics of a 2R Robotic Arm. Objective : Write a program to simulate forward kinematics of a 2R Robotic Arm To create a Movie/Animation from the plots obtained from the program Theory: A robotic arm is a type of mechanical arm, usually programmable , with similar…

SIMPLE PENDULUM One of the classical example for a second order ordinary differential equation is the motion of the bob of a simple pendulum. From Newton's 2nd law, we can get the motion of the bob of a simple pendulum as a Second order ODE as below: `(d^2θ) /(d t^2) +(b/m)* (dθ) /( d t) +(g/L)* sin ( θ…

Genetic Algorithm: Optimization of stalagmite function Objectives: - Write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. Expalin the concept of genetic algorithm in and also explain the syntax for ga in MATLAB. Plot graphs for all 3 studies and for…

AIM:  To write a program in matlab to parse the NASA thermodynamic data file and then calculate the thermodynamic properties of various gas species. OBJECTIVE: To write a function that extracts the 14 co-efficient and calculates the enthalpy ,entropy and specific heats for all  species in the data file.…

Rankine Cycle Simulator Aim: Creation of Rankine cycle simulator from given input and reading the data from standard thermodynamic library of steam table. Objective: To create a Rankine Cycle simulator in MATLAB. To calculate the state point using function XSteam. To plot the T-S and H-S curve for given input in Rankine…

Project Title: Surface meshing on a Pressure valve INTRODUCTION: This report documents the process and outcomes of the surface meshing study conducted on the given pressure valve model. The objective of the study was to identify and rectify geometrical errors in the model, followed by performing topology cleanup to…