Compressible Flow Free Textbook

Next: Small Perturbation Solution Up: Operating Equations and Analysis Previous: Operating Equations and Analysis Index

The Limitations of the Shock Wave

When the upstream Mach number becomes very large, the downstream Mach number (see equation (5.22)) is limited by

$\displaystyle {M_y}^2 = { 1 + \cancelto{\sim 0}{2 \over (k -1) {M_x}^{2}} \over {2k \over k -1} - \cancelto{\sim 0}{1 \over {M_x}^{2}} } \qquad = {k -1 \over 2k}$

(5.38)

This result is shown in Figure (5.3). The limits of the pressure ratio can be obtained by looking at equation (5.16) and by utilizing the limit that was obtained in equation (5.38).

Next: Small Perturbation Solution Up: Operating Equations and Analysis Previous: Operating Equations and Analysis Index

Created by:Genick Bar-Meir, Ph.D.
On: 2007-11-21

If you want the whole book or parts in pdf or other formats, then click here. You also can get the best and the largest gas dynamics tables in the world.

About Potto Project

Potto Project has been created by Dr. Genick Bar-Meir and friends to build free software and textbooks for college students.

Potto Project is under open content licenses, which means that you will always have the freedom to use it, make copies of it, and improve it. You are encouraged to make use of these freedoms and share the textbooks and program with your family and friends!