Convective Heat Transfer for Steady Laminar Flow Between Two Confocal Elliptic Pipes With Uniform Longitudinal Wall Temperature Gradient and Heat Generation.

Abstract

Convective heat transfer for steady laminar flow between two confocal elliptic pipes with uniform heat generation and longitudinal uniform wall temperature gradient under various heating conditions is presented in analytical closed form utilizing the exact solutions of the Navier-Stokes and energy equations. It is shown that the product of the dimensionless longitudinal uniform wall temperature gradient and Peclet number along with the magnitude of the heat generation affect the problem. The values of Nusselt numbers for several values of ellipticity and core size are obtained and presented in graphical and numerical form.