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where 9 and V denote variables related to the normalized temperature and the normalized velocity respectively, y is the ratio of the specific heats, a is a kind of Prandtl number, and M is the Mach number far upstream. The primes denote differentiation with respect to tj, which is proportional to distance from the vapor-liquid interface. Assuming M to be less than unity, Yih gave an approximate solution by expanding 9 and V in power series of M2, and obtained explicit expressions for the first two terms of the expansions. No estimates for the errors of the approximate expressions were given. Our purpose in this note is to present an exact solution in the (9, V) phase plane when the parameters a and M are certain functions of y. This solution may thus be compared with Yih's approximate solution in order to estimate its accuracy for different values of y (and hence of a and M).

An exact solution for flow with condensation