The Mathematical Institute, University of Oxford, Eprints Archive

A note on heat and mass transfer from a sphere in Stokes
flow at low Péclet number

Bell, C. G. and Byrne, H. M. and Whiteley, J. P. and Waters, S. L. (2012) A note on heat and mass transfer from a sphere in Stokes
flow at low Péclet number.
Applied Mathematics Letters . (Submitted)

[img]
Preview
PDF
122Kb

Abstract

We consider the low Péclet number, Pe ≪ 1, asymptotic solution for steady-state heat and mass transfer from a sphere immersed in Stokes flow with a Robin boundary condition on its surface, representing Newton cooling or a first-order chemical reaction. The application of van Dyke’s rule up to terms of O(Pe3) shows that the O(Pe3 log Pe) terms in the expression for the average Nusselt/Sherwood number are double those previously derived in the literature. Inclusion of the O(Pe3) terms is shown to increase significantly the range of validity of the expansion.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1626
Deposited By:Peter Hudston
Deposited On:24 Nov 2012 08:57
Last Modified:24 Nov 2012 08:57

Repository Staff Only: item control page