# On the thermal field of a separating wall jet

DOI: 10.1023/A:1012216727524

- Cite this article as:
- Daniels, P. & Ratnanather, J. Journal of Engineering Mathematics (2001) 41: 329. doi:10.1023/A:1012216727524

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## Abstract

Thermal wall jets are found in a variety of applications in geophysics, mammalian physiology and electronics, to name but a few. The thermal field of a separating wall jet is studied for a range of values of the Prandtl number of the fluid. The structure of the jet near the point of separation is described by a free interaction in which the fundamental problem is to solve the boundary-layer equations in a viscous sublayer close to the wall. Analytical and numerical solutions are found for the thermal field within the sublayer for the case of a wall at a fixed temperature. In particular, the wall heat transfer is obtained and effects of upstream influence within the thermal field are discussed. The large-Prandtl-number limit is considered in detail and it is shown that the main variation of the thermal field occurs within a region in the immediate neighbourhood of the point of separation. An upstream-downstream iterative method is used to obtain a numerical solution for this thermal field.