In the discussion of Computational Fluid Dynamics,  Using the computer program and nozzle shape from problem 12.1, calculate the purely subsonic isentropic flow through the nozzle for the case when the ratio of exit static pressure to reservoir pressure is held fixed at 0.996. (Do not be surprised if you have difficulty. For help, consult the discussion on this type of CFD solution in the author's book Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, 1995. Read why the use of the governing equations completely in conservation form might be helpful.)

Data From Problem 12.1:

Consider a convergent-divergent nozzle of length \(L\) with an area-ratio variation given by \(A / A^{*}=1+10|x / L|\), where \(-0.5 \leq x / L \leq 0.5\). Assume quasi-one-dimensional flow and a calorically perfect gas with \(\gamma=1.4\).