A coupled conduction-convection problem at low Reynolds number flow

Consideration is given to the problem of heat transfer from a circular cylinder with a heated internal core in low-Reynolds-number flow. Equations for the flow field, convective heat transfer field and conduction field with given boundary conditions are solved numerically for the Nusselt number at the interface using second-order finite difference approximations and a relaxation method. Results are illustrated graphically, and it is pointed out that the relative magnitudes of convection and conduction exert a large influence on the local heat transfer coefficients, and a discontinuity in the temperatures along the forward and backward stagnation lines is evident at the liquid-solid interface.