Analytical methods for transport equations in similarity form

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

doi:10.1115/HT2007-32294

Analytical methods for transport equations in similarity form

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

Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
Pages	1041-1048
Number of pages	8
DOIs	https://doi.org/10.1115/HT2007-32294
State	Published - 2007
Event	2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007 - Vancouver, BC, Canada Duration: Jul 8 2007 → Jul 12 2007

Publication series

Name	2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
Volume	1

Conference

Conference	2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007
Country/Territory	Canada
City	Vancouver, BC
Period	7/8/07 → 7/12/07

ASJC Scopus subject areas

Electrical and Electronic Engineering
Mechanical Engineering
Condensed Matter Physics

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10.1115/HT2007-32294

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Tiwari, A., Tagavi, K. A., & McDonough, J. M. (2007). Analytical methods for transport equations in similarity form. In 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007 (pp. 1041-1048). (2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007; Vol. 1). https://doi.org/10.1115/HT2007-32294

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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.",

author = "Abhishek Tiwari and Tagavi, {Kaveh A.} and McDonough, {J. M.}",

year = "2007",

doi = "10.1115/HT2007-32294",

language = "English",

isbn = "0791842746",

series = "2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007",

pages = "1041--1048",

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note = "2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007 ; Conference date: 08-07-2007 Through 12-07-2007",

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Tiwari, A, Tagavi, KA & McDonough, JM 2007, Analytical methods for transport equations in similarity form. in 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007. 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007, vol. 1, pp. 1041-1048, 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007, Vancouver, BC, Canada, 7/8/07. https://doi.org/10.1115/HT2007-32294

Analytical methods for transport equations in similarity form. / Tiwari, Abhishek; Tagavi, Kaveh A.; McDonough, J. M.
2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007. 2007. p. 1041-1048 (2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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Analytical methods for transport equations in similarity form

Abstract

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