Rough-Wall Turbulent Heat Transfer with Variable Velocity, Wall Temperature, and Blowing

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

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.


1960 ◽  
Vol 82 (3) ◽  
pp. 170-178 ◽  
Author(s):  
E. M. Sparrow ◽  
R. Siegel

An analysis is made of the unsteady turbulent heat transfer in a circular tube whose wall temperature varies arbitrarily with time. The flow is steady and fully developed. The formulation permits the heat-transfer coefficient to vary with time and position in accordance with the energy conservation principle. This is in contrast to previous transient analyses where it has been standard to use steady-state, fully developed coefficients. The first step in the analysis yields the heat-transfer response to a step jump in wall temperature, and this is then generalized by a superposition technique to apply to arbitrary time variations. Use of the generalized results is illustrated by application to the case where the wall temperature varies linearly with time. Comparison is made between the unsteady heat-transfer results of the present theory and those computed using steady-state heat-transfer coefficients.


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