TY - JOUR
T1 - Heat or mass transfer from a sphere in Stokes flow at low Péclet number
AU - Bell, Christopher G.
AU - Byrne, Helen M.
AU - Whiteley, Jonathan P.
AU - Waters, Sarah L.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). SLW is grateful for funding from the EPSRC in the form of an Advanced Research Fellowship.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/4
Y1 - 2013/4
N2 - We consider the low Péclet number, Pe≪1, asymptotic solution for steady-state heat or 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(Pe3logPe) terms in the expression for the average Nusselt/Sherwood number are twice those previously derived in the literature. Inclusion of the O(Pe3) terms is shown to increase the range of validity of the expansion. © 2012 Elsevier Ltd. All rights reserved.
AB - We consider the low Péclet number, Pe≪1, asymptotic solution for steady-state heat or 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(Pe3logPe) terms in the expression for the average Nusselt/Sherwood number are twice those previously derived in the literature. Inclusion of the O(Pe3) terms is shown to increase the range of validity of the expansion. © 2012 Elsevier Ltd. All rights reserved.
UR - http://hdl.handle.net/10754/598449
UR - https://linkinghub.elsevier.com/retrieve/pii/S0893965912004429
UR - http://www.scopus.com/inward/record.url?scp=84872595963&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2012.10.010
DO - 10.1016/j.aml.2012.10.010
M3 - Article
SN - 0893-9659
VL - 26
SP - 392
EP - 396
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 4
ER -