Extending the Duhamel theorem to dual phase applications

P. Vadasz; D. A. Nield

doi:10.1016/j.ijheatmasstransfer.2007.03.054

Extending the Duhamel theorem to dual phase applications

P. Vadasz, D. A. Nield

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Duhamel theorem is a useful classical result that allows finding the solution to a single phase thermal diffusion problem subject to time dependent heat sources and time dependent boundary conditions in terms of known solutions to the equivalent problem when the heat sources and boundary conditions are independent of time. The present paper presents the proof to the Duhamel theorem for dual phase thermal diffusion applications.

Original language	English (US)
Pages (from-to)	1475-1479
Number of pages	5
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	5-6
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2007.03.054
State	Published - Mar 2008

Keywords

Dual phase
Duhamel theorem
Heat conduction
LaLotheq
Local thermal non-equilibrium
Two-phase

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/j.ijheatmasstransfer.2007.03.054

Cite this

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title = "Extending the Duhamel theorem to dual phase applications",

abstract = "The Duhamel theorem is a useful classical result that allows finding the solution to a single phase thermal diffusion problem subject to time dependent heat sources and time dependent boundary conditions in terms of known solutions to the equivalent problem when the heat sources and boundary conditions are independent of time. The present paper presents the proof to the Duhamel theorem for dual phase thermal diffusion applications.",

keywords = "Dual phase, Duhamel theorem, Heat conduction, LaLotheq, Local thermal non-equilibrium, Two-phase",

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AU - Nield, D. A.

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AB - The Duhamel theorem is a useful classical result that allows finding the solution to a single phase thermal diffusion problem subject to time dependent heat sources and time dependent boundary conditions in terms of known solutions to the equivalent problem when the heat sources and boundary conditions are independent of time. The present paper presents the proof to the Duhamel theorem for dual phase thermal diffusion applications.

KW - Dual phase

KW - Duhamel theorem

KW - Heat conduction

KW - LaLotheq

KW - Local thermal non-equilibrium

KW - Two-phase

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M3 - Article

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JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 5-6

ER -

Extending the Duhamel theorem to dual phase applications

Abstract

Keywords

ASJC Scopus subject areas

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