Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model

Abeer Alhashash, Habibis Saleh, Ishak Hashim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model is studied numerically in the present article. The horizontal heating is considered, where the vertical walls heated isothermally at different temperatures, while the horizontal walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and finite difference method is applied to solve the dimensionless governing equations. It is found that the average Nusselt number of fluid increases slightly by increasing the inter-phase heat transfer coefficient and the average Nusselt number of solid increases sharply by increasing the inter-phase heat transfer coefficient for the all viscous dissipation parameter.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages151-156
Number of pages6
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

Nusselt number
enclosure
heat transfer coefficients
free convection
dissipation
formulations
heating
fluids
temperature

Keywords

  • Darcy's law
  • Natural convection
  • Viscous dissipation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alhashash, A., Saleh, H., & Hashim, I. (2014). Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model. In AIP Conference Proceedings (Vol. 1602, pp. 151-156). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882481

Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model. / Alhashash, Abeer; Saleh, Habibis; Hashim, Ishak.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 151-156.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Alhashash, A, Saleh, H & Hashim, I 2014, Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 151-156, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882481
Alhashash A, Saleh H, Hashim I. Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 151-156 https://doi.org/10.1063/1.4882481
Alhashash, Abeer ; Saleh, Habibis ; Hashim, Ishak. / Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 151-156
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