Aim: To derive the fourth-order approximation of second-order derivative using central difference, skewed right-sided, and skewed left-sided difference scheme. To prove that the skewed schemes are fourth-order accurate To write a program in MATLAB/Octave to evaluate the second-order derivative of the analytical function:…

Aim: To perform steady-state analysis & transient state analysis to solve the 2D heat conduction equation by using the point iterative techniques by implementing the following methods: 1. Jacobi method 2. Gauss-seidel method 3. Successive over-relaxation (SOR) method absolute error criteria = 1e-4   Assumptions:…

Aim: To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle and derive both the conservation and non-conservation forms of the governing equations and solve them using MacCormack's technique. Also, to determine the steady-state temperature distribution for the flow-field variables and investigate…

Aim: To perform flow analysis through a given geometry on OpenFOAM, and draw conclusions. To find how the velocity magnitude profile change as a function of mesh grading factor, 0.2, 0.5, and 0.8 Measure the velocity profile at 0.085 m from the inlet of the geometry Compare velocity magnitude contours near the step region…