Accession Number:

AD0260911

Title:

A STUDY OF THE LEADING EDGE OF A SHOCK INDUCED BOUNDARY LAYER

Descriptive Note:

Corporate Author:

PRINCETON UNIV N J JAMES FORRESTAL RESEARCH CENTER

Personal Author(s):

Report Date:

1961-03-01

Pagination or Media Count:

1.0

Abstract:

An investigation of the flow at the leading edge of the boundary layer generated by a weak shock wave moving past a flat plate is presented. It is postulated that the leading edge flow can be divided into a shear layer near the wall dominated by the transverse viscous shear and into a free stream or shock region outside the shear layer which is dominated by the longitudinal viscous stress. By expanding flow parameters in the shock strength parameter and by stretching coordinates, simplified equations for the shear layer and the shock region were derived from the Navier-Stokes or continuum equations. Such a shock strength expansion was also applied to the normal shock in the free stream and the results were found to be excellent agreement with exact analytical solutions of the Navier-Stokes equations. The vertical velocity generated within the shear layer is of sufficient magnitude to affect the shock region flow therefore, the two regions interact. Outside the shear layer there is a region of nonHugoniot flow where the shock is not normal or oblique but where the shock structure is twodimensional. An approximate solution of the leading edge interaction was obtained by replacing the shock region with an oblique shock, which is approximately matched to the shear layer. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE