INTEGRAL METHOD FOR THE CALCULATION OF HEAT TRANSFER IN LAMINAR SUPERSONIC SEPARATED FLOWS,
Abstract
The problem of heat transfer in laminar supersonic separated flows is treated by an extension of the Crocco-Lees Mixing Theory to the case of non adiabatic flows. The interaction between a viscous and dissipative layer near a body surface, or in its wake, and an outer isentropic flow is considered to be the main mechanism determining the flow conditions. The basic integral boundary layer equations are used after being rewritten to include properly defined average velocity, temperature and total enthalpy and also mixing rate, friction, heat transfer and enthalpy functions. It is shown that for zero pressure gradient the equations can be reduced to those of a corresponding constant properties boundary layer and can be solved in a closed form exact solution. When a pressure gradient is present such a reduction of the equations is still a good approximation. In this case these approximate equations are solved numerically. It is also shown that for a known distribution of free stream velocity, consistent with similar solutions, the present method also enables exact numerical solutions. This method is then applied to a separated flow also over a backward facing step, where characteristic parameters of the flow are obtained from experimental and from 'exact' solutions of attached boundary layer with heat transfer. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1967
- Accession Number
- AD0667200
Entities
People
- Arnan Seginer
- Josef Rom
Organizations
- Technion – Israel Institute of Technology