Variational solution of the third boundaryvalue problem of heat exchange during fluid flow in a channel
Abstract
A variational method is described for solving the third boundaryvalue problem of heat exchange in channels in the case where the thermal properties of the fluid are coordinatedependent and the Biot number varies along the length of the channel. A system of linear equations is derived which always has a solution that satisfies the initial conditions of the cited problem and can be obtained when concrete values are given for the variables and functions. The special case of a steady hydrodynamically stabilized fluid flow in a circular channel with constant thermal properties of the fluid and without an internal heat source is also examined.
 Publication:

Teplofizika Vysokikh Temperatur
 Pub Date:
 October 1975
 Bibcode:
 1975TepVT..13.1003T
 Keywords:

 Annular Flow;
 Boundary Value Problems;
 Calculus Of Variations;
 Channel Flow;
 Conductive Heat Transfer;
 Steady Flow;
 Biot Method;
 Integral Equations;
 Linear Equations;
 Partial Differential Equations;
 Fluid Mechanics and Heat Transfer