Page 86 - Mechanical Engineers' Handbook (Volume 4)
P. 86
10 Gas Dynamics 75
Figure 28 Oblique shock relations from normal shock; (a) normal shock; (b) oblique shock; (c) oblique
shock angles.
oblique shocks. The upstream Mach number M is given in terms of the deflection angle
,
1
the shock angle , and the specific heat ratio k for the gas as
1 k 1 sin sin
2
sin
M 2 1 2 cos(
)
The geometry is shown in Fig. 29, and the variables in this equation are illustrated in Fig.
30. For each M there is the possibility of two wave angles for a given deflection angle
1
. The larger wave angle is for strong shocks, with subsonic downstream flow. The smaller
Figure 29 Supersonic flow past a wedge and an inside corner.
