SLOT COOLING AT HIGH SPEED FLOW.

Abstract

The problem of slot cooling at high speed flows is investigated assuming laminar flow conditions prevail. The effectiveness of the slot is measured in terms of a cooling length which in turn is defined as the maximum distance over which the wall temperature remains below a fixed ratio to the stagnation temperature of the coolant. The purpose of the investigation is to establish the effect of coolant quantity, and coolant quality on the cooling length. It is analytically demonstrated that the cooling length is proportional to the square of the mass flow of the coolant with a proportionality coefficient which depends at most on the coolant quality. In a numerical analysis it is shown that under the conditions of high speed flow the cooling length coefficient is a function of the coolant Mach number; however, the values obtained vary over such a narrow band that for practical purposes it may be taken as a constant. The coolant of a wing section is investigated by considering a 50 ft. circular wing as an example. It is shown that the results obtained for the constant pressure flow carry over with little modification to flows with pressure gradient. Furthermore, it is shown that a small amount of coolant injected through the slot in the leading edge is sufficient to cool the whole wing. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0679637

Entities

People

  • Gdalia Kleinstein

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Circular Wings
  • Coefficients
  • Flow
  • Laminar Flow
  • Leading Edges
  • Mach Number
  • Mass Flow
  • Numerical Analysis
  • Pressure Gradients
  • Stagnation Temperature
  • Temperature Gradients

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.