COMBINED FORCED AND FREE-CONVECTION IN BOUNDARY-LAYER FLOW OF A MICROPOLAR FLUID OVER A HORIZONTAL PLATE

Authors
Citation
Ia. Hassanien, COMBINED FORCED AND FREE-CONVECTION IN BOUNDARY-LAYER FLOW OF A MICROPOLAR FLUID OVER A HORIZONTAL PLATE, Zeitschrift fur angewandte Mathematik und Physik, 48(4), 1997, pp. 571-583
Citations number
24
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
ISSN journal
00442275
Volume
48
Issue
4
Year of publication
1997
Pages
571 - 583
Database
ISI
SICI code
0044-2275(1997)48:4<571:CFAFIB>2.0.ZU;2-2
Abstract
A boundary layer analysis is used to study the effect of buoyancy-indu ced streamwise pressure gradients on heat transfer and laminar forced convective flow of a micropolar fluid over a horizontal plate. In part icular, self-similar solution is given for the case of a wall temperat ure that is inversely proportional to the square root of the distance from the leading edge. Such a solution does not exist if the buoyancy parameter is smaller than a certain critical value, which is negative (decelerated flow), but not yet small enough to satisfy the separation criterion of vanishing shear stress at the wall. The effects of the b uoyancy force and material parameters on the friction factor, total he at transfer, displacement thickness, and wall couple stress as well as the details of the velocity, microrotation and temperature fields are discussed. The micropolar properties of the fluid are found to play a n important role in controlling flow separation.