Compressible Subsonic Impinging Flows
This paper establishes the existence and the uniqueness of two dimensional steady compressible subsonic impinging flows. It is demonstrated that there exists a critical value mcr > 0 such that when the mass flux m0 of the incoming flow is less than mcr, a subsonic irrotational impinging flow also exists, but such a subsonic impinging flow does not exist if m0 > mcr. The impinging flows possess a positive horizontal velocity, except on the wall, and a unique stagnation point on the plate. It is also shown that there exists a smooth streamline which separates the fluids flowing out of the different outlets of the nozzle. Several results on the uniqueness of the subsonic impinging flow are provided. The asymptotic behaviors of the impinging flows both in the upstream and the downstream are also described. Finally, some examples and comparison results are given for special nozzles.
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- 4.Bers, L.: Mathematical Aspects of Subsonic and Transonic Gas Dynamics. Surveys in Applied Mathematics, Vol.3, John Wiley and Sons, Inc., New York, 1958Google Scholar
- 19.Evans, L.C.: Partial Differential Equations, Graduate Studies in Mathematics, vol. 19. American Mathematical Society, Providence, RT (1998)Google Scholar
- 20.Gilbarg, D.,Shiffman, M.: On bodies achieving extreme values of the critical Mach number. I, J. Rational Mech. Anal. 3, 209–230 1954Google Scholar