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Conjugate heat transfer using modified interface conditions for the Navier-Stokes equations
Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap. Linköpings universitet, Tekniska högskolan.ORCID-id: 0000-0002-7972-6183
Department of Information Technology, Uppsala University, SE-751 05, Uppsala, Sweden.
2011 (engelsk)Rapport (Annet vitenskapelig)
Abstract [en]

This paper evaluates the use of the compressible Navier-Stokes equations, with prescribed zero velocities, as a model for heat transfer in solids. In particular in connection with conjugate heat transfer problems.

We derive estimates, and show how to choose and scale the coefficients of the energy part in the Navier-Stokes equations, such that the difference between the energy equation and the heat equation is minimal.

A rigorous analysis of the physical interface conditions for the conjugate heat transfer problem is performed and energy estimates are derived in non-standard L2-equivalent norms. The numerical schemes are proven energy stable with the physical interface conditions and the stability of the schemes are independent of the order of accuracy.

We have performed computations of a conjugate heat transfer problem in two different ways. One where, as traditionally, the heat transfer in the solid is governed by the heat equation. The other where the heat transfer in the solid is governed by the Navier-Stokes equations. The simulations are compared and the numerical results corroborate the theoretical results.

sted, utgiver, år, opplag, sider
Linköping: Linköping University Electronic Press , 2011. , s. 26
Serie
LiTH-MAT-R, ISSN 0348-2960 ; 18
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-72587ISRN: LiTH-MAT-R--2011/18--SEOAI: oai:DiVA.org:liu-72587DiVA, id: diva2:460107
Tilgjengelig fra: 2011-11-29 Laget: 2011-11-29 Sist oppdatert: 2013-08-30bibliografisk kontrollert

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Conjugate heat transfer using modied interface conditions for the Navier-Stokes equations(2149 kB)1005 nedlastinger
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