337 
25 
(51) @= > = VE ue Lita, 
the Mach number of the initial motion. 
§17. The problems considered correspond to the choices 
(52) Sere = | Och ieee M = 0,283, 0. 566. 
With these initial conditions (and the equation of state (41)) simple hydro- 
dynamical considerations allow determination of the rigorous, hydrodynamical 
solutions. The results are these: 
(A) At the wall a=O a shock originates. The velocity of this 
shock is PD -= 0.555, 0.490 3; the state behind it is given by 
a (Oley AR 0.590 and jp = oe iii). 0.6245 and mass velocity 
0. 
(B) At the wall a= Gi ee Riemann rarefaction wave originates. 
The velocity of the front of this waveis D = 0.9707, LOT ovate 
velocitycof its back is D"= 0.770, O, ©46; the state behind it is 
given by sei (| O, \.T\8and p= O.{14%, ©.020and mass velocityO, 
(C) The waves of (A) and (B) meet at the time = i Cle aoe 
D+ Dye 
At this instant the rarefaction wave begins to undergo a refraction on the 
shock, and its front continues béhind the shock with the velocity 
Dae SO Wi ee Onde She 
(D) The shock of (A) has the specific dissipation of energy 
jie se ORO OND) 1 OieOnOinbe Delia and the rate of dissipation of 
energy Bye. = 0, 00058, OM OLON aii. 
§18. The choice of t in each problem is governed by (37). The 
upper limit of (37) is the smallest = which occurs in the problem, i.e. by 
(44) the smallest —-—— .e. the —————— belonging to the 
Vi-4v Vi-tv 
