Rough-wall turbulent heat transfer with step wall temperature boundary conditions

Author(s):  
ROBERT TAYLOR ◽  
M. HOSNI ◽  
HUGH COLEMAN
10.2514/3.322 ◽  
1992 ◽  
Vol 6 (1) ◽  
pp. 84-90 ◽  
Author(s):  
Robert P. Taylor ◽  
M. H. Hosni ◽  
James W. Garner ◽  
Hugh W. Coleman

AIAA Journal ◽  
1978 ◽  
Vol 16 (1) ◽  
pp. 78-82 ◽  
Author(s):  
Hugh W. Colernan ◽  
Marcos M. Pimenta ◽  
Robert J. Moffat

2001 ◽  
Author(s):  
I. V. Shevchuk

Abstract All known analytical solutions of the integral equation of the turbulent thermal boundary layer for a rotating disk have been obtained for the case of direct problem. This means finding the Nusselt number at a given distribution of the wall temperature. This distribution is described by power law and is monotone (derivative of wall temperature with respect to the radial coordinate does not change its sign). Outlined in this paper is an analytical form of non-monotone distribution of the wall temperature, which provided a new analytical solution for the turbulent Nusselt number including earlier known equations as a specific particular case. The solution is based on the integral method, which proved to be more precise than known Dorfman’s approach. Chosen for validation of the proposed method were turbulent heat transfer experiments of Northrop and Owen (1988). Predictions presented include analytical studies using inverse and direct problem solutions as well as numerical simulations using polynomial approximations of the experimental wall temperature distributions.


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