Low Reynolds number heat transfer from a sphere in a laminar flow of nonNewtonian fluids
Abstract
An approximate solution of a steadystate problem of heat transfer from a sphere placed in a laminar stream of an nonNewtonian fluid is obtained for small Reynolds numbers. The problem is solved by the method of matched asymptotic expansions. Expansions for temperature and Nusselt number are obtained. The nonNewtonian parameters modify the terms of sigmasquare Rsquared in the expansion for Nusselt number. The results of the present work are for R greater than 1 in which Prandtl number is of order unity. It has been concluded that the Nusselt number for viscoelastic fluids may increase or decrease depending on their properties.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 May 1975
 DOI:
 10.1002/zamm.19750550506
 Bibcode:
 1975ZaMM...55..235S
 Keywords:

 Laminar Flow;
 Laminar Heat Transfer;
 Nonnewtonian Fluids;
 Reynolds Number;
 Spheres;
 Asymptotic Methods;
 Boundary Value Problems;
 Nusselt Number;
 Prandtl Number;
 Steady State;
 Viscoelasticity;
 Fluid Mechanics and Heat Transfer