Analytical methods for transport equations in similarity form

Abhishek Tiwari, Kaveh A. Tagavi, J. M. McDonough

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a novel approach for deriving analytical solutions to transport equations expressed in similarity variables. We apply a fixed-point iteration procedure to these transformed equations by formally solving for the highest derivative term and, from this (via requirements for convergence given by the contraction mapping principle), deduce a range of values for the outer limit of solution domain, for which the fixed-point iteration gives a converged solution.

Original languageEnglish
Title of host publication2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
Pages1041-1048
Number of pages8
DOIs
StatePublished - 2007
Event2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007 - Vancouver, BC, Canada
Duration: Jul 8 2007Jul 12 2007

Publication series

Name2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
Volume1

Conference

Conference2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007
Country/TerritoryCanada
CityVancouver, BC
Period7/8/077/12/07

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Condensed Matter Physics

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