AN ANALYTICAL SOLUTION TO ASYMMETRICAL HEAT TRANSFER IN LAMINAR FORCED FLOW INSIDE A CONVECTIVELY COOLED TUBE

摘要

Forced convection heat transfer to non-Newtonian fluids flow inside a tube subjected to asymmetrical convective cooling is investigated analytically. Fully developed laminar velocity distributions obtained by power law fluid rheology model are used, and viscous dissipation is taken into account. The effect of axial heat conduction is considered negligible. The physical properties are assumed constant. The theoretical analysis on the heat transfer is developed using an integral transform technique, which is called Vodicka's method. An important feature of the approach is that arbitrary variation of surrounding medium temperature in both the axial and circumferential directions and arbitrary velocity distribution can be permitted. A comparison with existing results provides a verification of this technique. The effects of the Brinkman number, Biot number and rheological properties on the distributions of the fluid temperature and the local Nusselt number are illustrated.