Accession Number:

AD0763807

Title:

Linearized Integral Theory of Three-Dimensional Unsteady Compressible Flow in a Shear Layer Bounded by an Oscillating Wall,

Descriptive Note:

Corporate Author:

AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J

Personal Author(s):

Report Date:

1973-06-01

Pagination or Media Count:

62.0

Abstract:

A linearized integral theory is developed for calculating the pressure on a perturbed wall in three-dimensional unsteady supersonic flow in the presence of a shear layer. An explicit formula for the wall pressure is given for an array of panels undergoing simple harmonic motion. Asymptotic and numerical results are presented for the kernel of the wall pressure. The integral theory reduces the exact linearized inviscid theory in the limit of zero shear layer thickness. For a finite layer, there are three integral thickness parameters that contain the total effect of the shear layer. A critical Mach number is calculated about 1.7 below which there is upstream influence and the kernel is attenuated by the shear layer. For supercritical Mach numbers, there is no upstream influence and the kernel has a pure oscillatory component. The amplitude is first order in the boundary layer thickness. Modified author abstract

Subject Categories:

  • Aerodynamics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE