Explicit analytical solutions for fluid flow and temperature field synergy in cylindrical coordinates

The field synergy principle an approach to find out the best convection condition has been successfully proposed and applied. However, the case for worst convection contribution will be worthy researched also. In this paper, four groups of algebraically explicit analytical solutions with heat source or mass flow source are derived for 2D incompressible laminar flow in cylindrical coordinate. The concrete physical meanings of the solutions are analyzed. The extraordinary methods used to obtain solutions are named the method of separating variables with addition and other hybrid method. Besides theoretical meaning, the solutions can be benchmark solutions to develop the computational heat transfer. (C) 2011 Elsevier Masson SAS. All rights reserved.