Heat or mass transfer from a sphere in Stokes flow at low Péclet number

Handle URI:
http://hdl.handle.net/10754/598449
Title:
Heat or mass transfer from a sphere in Stokes flow at low Péclet number
Authors:
Bell, Christopher G.; Byrne, Helen M.; Whiteley, Jonathan P.; Waters, Sarah L.
Abstract:
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.
Citation:
Bell CG, Byrne HM, Whiteley JP, Waters SL (2013) Heat or mass transfer from a sphere in Stokes flow at low Péclet number. Applied Mathematics Letters 26: 392–396. Available: http://dx.doi.org/10.1016/j.aml.2012.10.010.
Publisher:
Elsevier BV
Journal:
Applied Mathematics Letters
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Apr-2013
DOI:
10.1016/j.aml.2012.10.010
Type:
Article
ISSN:
0893-9659
Sponsors:
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBell, Christopher G.en
dc.contributor.authorByrne, Helen M.en
dc.contributor.authorWhiteley, Jonathan P.en
dc.contributor.authorWaters, Sarah L.en
dc.date.accessioned2016-02-25T13:20:55Zen
dc.date.available2016-02-25T13:20:55Zen
dc.date.issued2013-04en
dc.identifier.citationBell CG, Byrne HM, Whiteley JP, Waters SL (2013) Heat or mass transfer from a sphere in Stokes flow at low Péclet number. Applied Mathematics Letters 26: 392–396. Available: http://dx.doi.org/10.1016/j.aml.2012.10.010.en
dc.identifier.issn0893-9659en
dc.identifier.doi10.1016/j.aml.2012.10.010en
dc.identifier.urihttp://hdl.handle.net/10754/598449en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis 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.en
dc.publisherElsevier BVen
dc.subjectHeat transferen
dc.subjectMass transferen
dc.subjectPécleten
dc.subjectSphereen
dc.subjectStokesen
dc.titleHeat or mass transfer from a sphere in Stokes flow at low Péclet numberen
dc.typeArticleen
dc.identifier.journalApplied Mathematics Lettersen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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