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Oblique Shock Relations
Consider the flow through an oblique shock wave, as shown in Figure 2.30. The component of M1 normal to the shock wave is:
Mn1 = M1sin в,
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where в is the shock angle. The shock in Figure 2.29 can be visualized as a normal shock with upstream Mach number M1sin в. Thus, replacement of M1 in the normal shock relations, Equations (2.95) to (2.99), by M1sin в, results in the corresponding relations for the oblique shock.
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s2 — i1 = R ln
Equation (2.102) gives only the normal component of Mach number Mn2 behind the shock. But the Mach number of interest is M2. It can be obtained from Equation (2.102) as follows:
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From the geometry of the oblique shock flow field, it is seen that M2 is related to Mn2 by:
where 0 is the flow turning angle across the shock. Combining Equations (2.102) and (2.107), the Mach number M2 after the shock can be obtained.
