منابع مشابه
Transonic similarity solution for aligned field MHD nozzle flow
S U M M A R Y The transonic flow near the throat of a converging-diverging nozzle of a gas with infinite electrical conductivity is considered. The magnetic field B is everywhere aligned with the velocity q so that the equations describing the flow are reducible to those of ordinary gasdynamics. Thus, it is possible to utilize the transonic similarity solution of Tomotika and Tamada [3] to stud...
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This paper studies the liquid to vapor phase transition in a cone shaped nozzle. Using the geometric method presented in [32, 34], we further develop results on subsonic and supersonic evaporation waves in [14] to transonic waves. It is known that transonic waves do not exist if restricted solely to the slow system on the slow manifolds [14]. Thus we consider the existence of transonic waves th...
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In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic–supersonic) transonic potential flows in a two-dimensional Riemannian manifold with “convergent–divergent” metric, which is an approximate model of the de Laval nozzle in aerodynamics. The result indicates that transonic flows obtained by quasi-one-dimensional flow model in fluid dynamics are stable with ...
متن کاملThe Transonic Flow in the Throat Region of a Two-Dimensional Nozzle with Walls of Arbitrary Smooth Profile
A solution is presented for the flow in the throat region of a two-dimensional nozzle with an arbitrary smooth profile. The velocity components are determined as series expansions in ascending powers of R-~ where R is the mean radius of curvature of the profile at the throat measured in throat half-heights. The first three terms of the series solution are given, and some properties of the flow ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1979
ISSN: 0022-247X
DOI: 10.1016/0022-247x(79)90077-5