MEEN 668 COMPRESSIBLE FLOW (MEEN668)

This report describes how a MATLAB code was used to analytically solve for flow property distributions within a one-dimensional shock tube at t=0.2s, given known initial conditions. Property distributions such as pressure and density were found to decrease with the rarefaction wave from the head to the tail, while velocity distribution properties increased within the wave along the same direction.

This report describes how a MATLAB code was used to analytically solve for flow property distributions within a one-dimensional shock tube at t=0.2s, given known initial conditions. Property distributions such as pressure and density were found to decrease with the rarefaction wave from the head to the tail, while velocity distribution properties increased within the wave along the same direction.

This report first explores the use of normal shock relations to determine the effect of Mach number ahead of the shock on flow properties in the form of their ratios. The report tackles property ratios such as the pressure ratio, temperature ratio, total pressure ratio, and even the Mach number behind the shock. This is done by creating a MATLAB code that calls a function to calculate these property ratios and plots them against the Mach number ahead of the shock, M1. The values returned are com...

This report elaborates on some applications of oblique shocks and expansion wave relations (shock expansion theory) to calculate the drag force on a diamond airfoil at different angles of attack and solve for the flow deflection angle at the tail of an infinitely thin plate. The report also shows a plot of flow deflection angle against shock angle using different supersonic Mach numbers. With the correct prediction of the shock patterns around a body, one can use these shock patterns to calculat...