Conjugate natural convection studies of a thermally coupled flow system

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationNatural/Forced Convection and Combustion Simulation
PublisherPubl by Computational Mechanics Inc
Pages171-189
ISBN (Print)185312172
Publication statusPublished - 1992
Externally publishedYes

Conference

TitleSecond International Conference on Advanced Computational Methods in Heat Transfer
CityMilan, Italy
Period1 July 1992

Abstract

Two different numerical techniques were used to compute the heat transfer from a two dimensional, thin-skinned, dome-type structure, internally heated from below. This configuration has practical engineering application in the heating and cooling design of inflatable structures. Mathematically, this regime was very interesting because the internal closed flow was coupled to the exterior free convection by the heat flux through the thin dome surface. The equations for the conservation of mass, momentum and energy were simplified by assuming steady state conditions, viscous flow, constant properties and constant density everywhere except in the body force term of the momentum equation. The first method considered used a simple well established Gauss-Seidell procedure accelerated by ``Successive Over- relaxation'' (SOR) for the numerical solution of the equations within the enclosure. For a Grashof number value of 3×105 two highly vortical regions were identified within the enclosure with nearly isothermal rotating cores. This flow regime was identical to that observed in experimental interferometric studies of similar configuration and heating. For Grashof number values greater than 3×105 it was not possible to obtain a reliable solution, even when using a very low relaxation factor value in the vorticity equation. In the second method a new approach described as ``conjugate modelling'' was used. Specifically, in conjugate modelling, the continuity and momentum equations are defined for the flow regions only and the energy equation includes both the solid and fluid domains. The solution domain therefore consisted of both the closed dome structure and the free convective flowing plume above the canopy. An initial study of the conjugate model was made using the computational fluid dynamics code, FIDAP, which is based on the finite element method. Encouraging results for the convective heat transfer were obtained for Grashof Number values up to 1×106.

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Citation Format(s)

Conjugate natural convection studies of a thermally coupled flow system. / Graham, L. E.; Perwaiz, J.; Base, T. E.; Tarasuk, J. D.; Floryan, J. M.

Natural/Forced Convection and Combustion Simulation. Publ by Computational Mechanics Inc, 1992. p. 171-189.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review