Conjugate natural convection studies of a thermally coupled flow system

L. E. Graham; J. Perwaiz; T. E. Base; J. D. Tarasuk; J. M. Floryan

Conjugate natural convection studies of a thermally coupled flow system

L. E. Graham
, J. Perwaiz
, T. E. Base
, J. D. Tarasuk
, J. M. Floryan

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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.

Original language	English
Title of host publication	Natural/Forced Convection and Combustion Simulation
Publisher	Publ by Computational Mechanics Inc
Pages	171-189
ISBN (Print)	185312172
Publication status	Published - 1992
Externally published	Yes
Event	Second International Conference on Advanced Computational Methods in Heat Transfer - Milan, Italy Duration: 1 Jul 1992 → 1 Jul 1992

Conference

Conference	Second International Conference on Advanced Computational Methods in Heat Transfer
City	Milan, Italy
Period	1/07/92 → 1/07/92

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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@inproceedings{317fa91bc1984e99967043a143ee9599,

title = "Conjugate natural convection studies of a thermally coupled flow system",

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.",

author = "Graham, \{L. E.\} and J. Perwaiz and Base, \{T. E.\} and Tarasuk, \{J. D.\} and Floryan, \{J. M.\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].; Second International Conference on Advanced Computational Methods in Heat Transfer ; Conference date: 01-07-1992 Through 01-07-1992",

year = "1992",

language = "English",

isbn = "185312172",

pages = "171--189",

booktitle = "Natural/Forced Convection and Combustion Simulation",

publisher = "Publ by Computational Mechanics Inc",

}

Conjugate natural convection studies of a thermally coupled flow system. / Graham, L. E.; Perwaiz, J.; Base, T. E. et al.
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 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Conjugate natural convection studies of a thermally coupled flow system

AU - Graham, L. E.

AU - Perwaiz, J.

AU - Base, T. E.

AU - Tarasuk, J. D.

AU - Floryan, J. M.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0026973381

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0026973381&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 185312172

SP - 171

EP - 189

BT - Natural/Forced Convection and Combustion Simulation

PB - Publ by Computational Mechanics Inc

T2 - Second International Conference on Advanced Computational Methods in Heat Transfer

Y2 - 1 July 1992 through 1 July 1992

ER -

Conjugate natural convection studies of a thermally coupled flow system

Abstract

Conference

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