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OBLIQUE INJECTION OF INCOMPRESSIBLE IDEAL FLUID FROM A SLOT INTO A FREE STREAM.
- Source :
-
SIAM Journal on Mathematical Analysis . 2021, Vol. 53 Issue 1, p754-794. 41p. - Publication Year :
- 2021
-
Abstract
- This paper deals with a two-phase fluid free boundary problem in a slot-film cooling. We give two well-posedness results on the existence and uniqueness of the incompressible inviscid two-phase fluid with a jump relation on a free interface. The problem formulates the oblique injection of an incompressible ideal fluid from a slot into a free stream. From the mathematical point of view, this work is motivated by the pioneer work [Arch. Ration. Mech. Anal., 94 (1986), pp. 335--361] by A. Friedman, in which some well-posedness results are obtained in some special case. Furthermore, A. Friedman proposed an open problem in [Mathematics in Industrial Problems, IMA Vol. Math. Appl. 16, Springer, New York, 1988] on the existence and uniqueness of the injection flow problem for the more general case. The main results in this paper solve the open problem and establish the well-posedness results on the physical problem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PROBLEM solving
*FLUIDS
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 53
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 149208005
- Full Text :
- https://doi.org/10.1137/19M1304970