MATCHING INVISCID BOUNDARY-LAYER FLOWFIELDS

Citation
Fr. Dejarnette et Ra. Radcliffe, MATCHING INVISCID BOUNDARY-LAYER FLOWFIELDS, AIAA journal, 34(1), 1996, pp. 35-42
Citations number
11
Categorie Soggetti
Aerospace Engineering & Tecnology
Journal title
ISSN journal
00011452
Volume
34
Issue
1
Year of publication
1996
Pages
35 - 42
Database
ISI
SICI code
0001-1452(1996)34:1<35:MIBF>2.0.ZU;2-E
Abstract
New boundary-layer equations are developed and the solutions match all of the boundary-layer properties, except for the normal velocity, exa ctly with the corresponding inviscid properties. The numerical procedu re solves tridiagonal matrices at each marching station. As part of th e solution an inviscid transpiration velocity at the surface is calcul ated from the boundary-layer solution, This transpiration velocity cou ld be used as a boundary condition to calculate a new inviscid solutio n. If the inviscid/moundary-layer solutions are interacted, then the n ormal velocity from the boundary-layer solution will match the invisci d values exactly. Solutions are calculated for shear flows over a flat plate, Results from the present method compared well with Navier-Stok es solutions for incompressible constant shear flow and sinusoidal she ar Bow. Iterations of the inviscid/boundary-layer solutions were not n ecessary. Compressible flow of an exponential shear at Mach 3 was calc ulated for cold and hot walls. It was found that inviscid/boundary-lay er interactions were significant for hot walls but negligible for cold walls. The present method should yield accurate boundary-layer soluti ons at Reynolds numbers lower than the traditional boundary-layer equa tions.