VORTICITY EFFECT ON HEAT TRANSFER TO THE CONICAL PORTION OF A BLUNT BODY,

Abstract

For a blunt body in high speed flight, there exists, along the conical surface of the body, a vortical layer induced by the curved shock. The purpose of this paper is to study the effect of the vortical layer on the boundary layer by systematic mathematical procedure of power series expansion and matching. Dte to the fact that, associatedwith the vortical layer, there is a steep density gradient with density decreasing rapidly towardthe wall, and that in the matching region the density is very low, it is permissible to neglect the product of density and gradient of first order normal velocity and density gradient. With this approximation it is possible to deduce proper matcfing conditions for the next order inner solution frol the governing equations of next order outer solution without actually solving them. With these proper matching conditions, the differential equations for the next order inner solutions are solved. Numerical results on velocity profiles and enthalpy profiles are presented. The effects of vorticity on heat transfer and friction coefficients are obtained as functions of the outer stream Mach number and the ratio of outer stream enthalpy to wall enthalpy. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1963
Accession Number
AD0426427

Entities

People

  • Lu Ting

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Blunt Bodies
  • Bodies
  • Boundary Layer
  • Coefficients
  • Differential Equations
  • Enthalpy
  • Equations
  • Heat Transfer
  • Layers
  • Mach Number
  • Power Series

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.