EFFECT OF REYNOLDS AND PRANDTL NUMBERS ON TURBULENT CONVECTIVE HEAT TRANSFER IN A THREE-DIMENSIONAL SQUARE DUCT

Abstract

This paper presents the numerical prediction of thermal developing processes in a square cross-section duct for turbulent flow with isothermal walls. The algebraic stress model has been employed to predict the fully developed turbulent flow. This fully developed turbulent flow was numerically solved using the Teach Program. The three-dimensional energy equation was discretized and solved by the method of lines. According to this method, the energy equation is reformulated by a system of first-order differential equations control-ting the temperature along each line. A nonuniform grid of 8 × 8 nodes was used for calculating the temperature profile at each cross section. The effects of Prandtl and Reynolds numbers on the thermal behavior in the entrance region are investigated. The computed results for the fully developed region are shown to be in good agreement with the measured data publisked in the open literature