On the thermal field of a separating wall jet

Citation
Pg. Daniels et Jt. Ratnanather, On the thermal field of a separating wall jet, J ENG MATH, 41(4), 2001, pp. 329-344
Citations number
24
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF ENGINEERING MATHEMATICS
ISSN journal
00220833 → ACNP
Volume
41
Issue
4
Year of publication
2001
Pages
329 - 344
Database
ISI
SICI code
0022-0833(2001)41:4<329:OTTFOA>2.0.ZU;2-H
Abstract
Thermal wall jets are found in a variety of applications in geophysics, mam malian 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 numbe r of the fluid. The structure of the jet near the point of separation is de scribed by a free interaction in which the fundamental problem is to solve the boundary-layer equations in a viscous sublayer close to the wall. Analy tical and numerical solutions are found for the thermal field within the su blayer for the case of a wall at a fixed temperature. In particular, the wa ll heat transfer is obtained and effects of upstream influence within the t hermal 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 solu tion for this thermal field.