Abstract : Set up of a time marching, finite difference solution for the Quasi 1D subsonic supersonic nozzle flow. Non-dimensionalizing the Governing flow equations and setting them up with relevant initial and boundary conditions and solving using the Maccormacks technique. Simulating the solution for convergence…

Introduction :     The Rayleigh–Taylor (R–T) instability occurs when a high-density fluid is placed over a lower-density fluid in a gravitational field. When the density interface is disturbed away from horizontal, the hydrostatic pressure acts to drive the heavier fluid into the lighter one,…

Introduction The Otto cycle was given by Dr. Nikolaus August Otto. It is a gas power cycle that is used in spark ignition engine (i.e. petrol engine) for its working. The entire modern petrol engine works on Otto cycle. It consist of four processes, Two isentropic (reversible adiabatic) processes and two isochoric (constant…

Objective : To derive 4th order approximation of second order derivative using taylor table method of finite difference . Using matlab code to plot and comare the errors of each approximation i.e central difference , skewed right sided difference , skewed left sided difference .   Function :   `e^x*cos(x)` …