Effect of inclination angle on the forced convective flow of a power-lawfluid in a 2-D planar branching channel

Abstract

Branching T-channel is a very common element of a piping system for the transportation of liquids andgases. The brachesbranches of the T-channel can be inclined at different angles which affects the flowdynamics and heat transfer characteristics significantly. Thus, the present work focuses on the flowand thermal characteristics of the laminar forced convection of power-law fluids in a rectangular branch-ing channel which have been numerically investigated over a wide range of parameters such as Reynoldsnumber, 50 Re 300, Prandtl number, 10 Pr 50, inclination angle, 30° a 90°and power-lawindex, 0.2 n 1.4 (includes shear-thinning,n< 1, shear-thickening,n> 1 and Newtonian,n= 1 fluids).This is perhaps the first systematic study which examines the role of power-law fluid behaviour and ofbranch inclination on momentum and heat transfer characteristics. New extensive results for the flowand temperature fields are presented in terms of streamline contours and separated-flow zones, pressurecoefficient, recirculation length, critical Reynolds number, isotherm contours, temperature profiles andlocal Nusselt number. The pressure coefficient is found to be higher for shear-thickening fluids than thatfor the Newtonian and shear-thinning fluids while the inclination angle has only a weak effect. The recir-culation length bears a positive dependence on the Reynolds number and inclination angle while aninverse relationship is observed with power-law index in both branches. The critical Reynolds number,at which the onset of flow recirculation is observed, is found to be lower for higher inclination anglesand a strong influence of the power-law index is also seen on the critical Reynolds number in bothbranches. Also, the local Nusselt number is seen to be higher at lower Prandtl numbers, low power-law index values and high inclination angles for both branches. Overall, the inclination angle plays a sig-nificant role in determining the heat transfer characteristics.