Page 122 - 48Fundamentals of Compressible Fluid Mechanics

84 CHAPTER 5. NORMAL SHOCK

the common is that this choice reduces the programing work (especially for object
oriented programing like C++) and still use the notation that were used before.
Observer moving with the shock will notice that the pressure in the shock is
(5.42)

The temperature measured by the observer is

(5.43)
Assuming that shock is moving to the right, (refer to Figure (5.6)) the velocity

measured by the observer is

(5.44)

Where is the shock velocity which is moving to the right. The “downstream”

velocity is

(5.45)
The speed of sound on both sides of shock depends only the temperature and it

is assumed constant. The upstream prime Mach number can be defined as
(5.46)

It can be noted that the additional definition was introduced for the shock upstream

Mach number,
. The downstream prime Mach number obtained the form

(5.47)

Similarly to previous case, additional definition was introduced of the shock down-

stream Mach number,
. The relation between the two new shock Mach num-
bers is

(5.48)

The “upstream” stagnation temperature of the fluid is

(5.49)

,

and the ”upstream” prime stagnation pressure is

(5.50)