Heat transfer and circular flow around a hydrodynamic turning point through a porous annular tube

摘要

In this paper, the circular flow and heat transfer in a uniformly porous annular tube are investigated for the purpose of examining the influence of the fluid distribution and the effects due to different values of the control numbers on the variation of temperature. The attention is focused on the hydrodynamic turning point highlighted inside the annular conduct and formed by three solution branches that are the first branch Fr as well as two secondary branches S-1 and S-2. So, the flow structures and heat transfer patterns are analyzed through each branch of the turning point diagram. It is found that the opposite behaviors between the first branch Fr and the secondary branch of type S-2 raised in the fluid distribution are also revealed in the heat transfer. The secondary branch of type S-1 where a boundary layer type flow takes place by increasing the Reynolds number is also the seat of the thermal boundary layer as the Peclet number is close to the value of 10. In all the cases, the influence of the Peclet number is great compared to that of the Reynolds number on the variation of temperature.