INTEGRAL TRANSFORM SOLUTION OF THE LAMINAR THERMAL BOUNDARY LAYER PROBLEM FOR FLOW PAST TWO-DIMENSIONAL AND AXISYMMETRIC BODIES

Abstract

The solution of the constant-property thermal boundary layer equations, in the primitive variables formulation, for flow past a circular cylinder and past a sphere, is obtained by application of the generalized integral transform technique (CITT), using a diffusion-type eigenvalue problem. The boundary condition at infinity was imposed at a finite but far enough distance from the surface. It was possible to achieve accurate results for the velocity and temperature profiles, separation points, and Nusselt numbers. The GITT was also used to solve the momentum equation for the front stagnation point flow, and very accurate results were obtained for low truncation orders.

Notes

Address correspondence to Prof. Paulo L. C. Lage, Programa de Engenharia Quimica, COPPE/UFRJ, CP 68.502, Rio de Janeiro, RJ, 21945–970, Brazil.