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International Heat Transfer Conference 6

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

NUMERICAL SOLUTION OF HEAT TRANSFER TO YIELD POWER LAW FLUIDS FLOWING IN THE ENTRANCE REGION

T. Lin
University of Wisconsin-Milwaukee, WI 53201

V.L. Shah
University of Wisconsin-Milwaukee, WI 53201

DOI: 10.1615/IHTC6.1440
pages 317-322

Abstract

In the present work, the numerical solutions of conservation equations (mass, momentum and energy) have been obtained for a non-Newtonian fluid flowing through a circular duct and through a parallel channel. It is assumed that the non-Newtonian flow characteristic of a fluid can be expressed through a yield power law rheological relation and that the effects of temperature on the rheological parameters are negligible. The forward marching procedure of Patankar and Spalding [1970] has been used to obtain the numerical solutions. The results have been obtained for a wide range of power law exponents (n = 0.5−1.5), yield numbers (Y = 0 − 20) and Prandtl numbers (0.1 − 10). The solution of the energy equation has been obtained for two surface boundary conditions: (i) uniform surface temperature and (ii) uniform heat flux.

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