| Abstract: | ![]()
The problem of finding the optimal motion of a piston that confines a certain volume of gas at the initial time is solved. The motion with which the piston performs the maximum work subject to constraints on its motion and the duration of this motion is found. Cases of plane, cylindrical, and spherical symmetry are considered. Numerical examples are given. It is noted that there is some analogy between the solution obtained and the known solutions for two-dimensional supersonic optimal nozzles.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 171–175, July–August, 1984.I thank A. N. Kraiko for helpful discussions of the work. |
