TAILIEUCHUNG - Influence of heat sources to finite channel conjugate natural convection of a power fluid

The paper extended the studies of Thomas F. Irvine et al and V. D. Quang and D. H. Chung by considering the influence of heat transfer into the wall of vertical channel with natural convection motion of a power law fluid as well as the influence of heat sources. | T~p chi Cc Journal of Mechanics, NCNST of Vietnam T. XVII, 1995, No 4 (29- 35) INFLUENCE OF HEAT SOURCES TO FINITE CHANNEL CONJUGATE NATURAL CONVECTION OF A POWER FLUID VUDUYQUANG Hanoi Technical University, Vietnam DANG HUU CHUNG Institute of Mechanics, 224 Doi Can, Hanoi, Vietnam ABSTRACT. The paper extended the studies of Thomas F. Irvine et al. [1] and V. D. Quang and D. H. Chung [2] by considering the influence of heat transfer into the wall of vertical channel with natural convection motion of a power law fluid as well as the -influence of heat sources. The results obtained in s9me test cases showed that the influence of wall will be clear and impossible to neglect when thennal conductivity of wall is small enough, so the effect of heat source distributed in the fluid is more considerable than in the wall and the he~t source from 50kW / m 3 will make an effect more considerably. 1. INTRODUCTION The study of heat exchange in the natural convection motion of non-Newtonia} fluid in a channel or pipe is one of the basic mechanics problems of the technologies of oil exploit and transport. In particular, the model of power law fluid has interested the studiers in the world more and more because of its suitability in the oil motion. The problem of the free convection of power law fluid (Ostwald-de-Waele fluid) in finite vertical channel with the walls of thickness has been studied in [2]. In this paper the expansion is made by introducing different heat sources in both the fluid and channel walls. Such a problem maybe appears due to the requirement of heat increase in the process of oil transport. The natural convection equations with boundary conditions were solved with finite difference method. The fields of velocity and temperature as well as dimensionless characteristics of heat exchange and the averaged velocity were determined. 2. THE GOVERNING EQUATIONS We consider the steady 2-D convection of the power law fluid in a finite vertical channel with the .

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