Heat transfer with natural convection of varying viscosity fluids inside porous media between vertically eccentric annuli

Horng-Wen Wu, I. Hsuan Lin, Ming Lin Cheng

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The objective of this paper is to investigate natural convection for the temperature dependent viscosity of fluids inside porous media between two vertically eccentric spherical annuli. Brinkman-Darcy-Forchheimer (B-D-F) model and energy equation are used to simulate the fluid and heat transfer inside the porous domain. Employing the modified Sorenson's method produces orthogonal grid along all the boundaries. The grid system and weighting function scheme (WFS) are applied to discretize the governing equations. Nusselt numbers were calculated for a range of Raleigh number (1.0 × 103-8.0 × 104), dimensionless vertical eccentricity of the outer sphere (-0.65, 0, 0.65), porosity of the media (0.4 and 0.9) and Darcy number (0.1 and 0.001) for varying viscosity fluids at different Prandtl numbers (158, 405 and 720) when the radius ratio kept constant at 2.0. The results show how the Raleigh number, the eccentricity, and porosity affect mean Nusselt number whereas the Darcy number does not influence it.

Original languageEnglish
Pages (from-to)145-155
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume94
DOIs
Publication statusPublished - 2016 Mar 1

Fingerprint

annuli
eccentrics
Natural convection
free convection
Porous materials
heat transfer
Viscosity
viscosity
Nusselt number
Heat transfer
eccentricity
Fluids
fluids
Porosity
grids
porosity
weighting functions
Prandtl number
radii
Temperature

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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abstract = "The objective of this paper is to investigate natural convection for the temperature dependent viscosity of fluids inside porous media between two vertically eccentric spherical annuli. Brinkman-Darcy-Forchheimer (B-D-F) model and energy equation are used to simulate the fluid and heat transfer inside the porous domain. Employing the modified Sorenson's method produces orthogonal grid along all the boundaries. The grid system and weighting function scheme (WFS) are applied to discretize the governing equations. Nusselt numbers were calculated for a range of Raleigh number (1.0 × 103-8.0 × 104), dimensionless vertical eccentricity of the outer sphere (-0.65, 0, 0.65), porosity of the media (0.4 and 0.9) and Darcy number (0.1 and 0.001) for varying viscosity fluids at different Prandtl numbers (158, 405 and 720) when the radius ratio kept constant at 2.0. The results show how the Raleigh number, the eccentricity, and porosity affect mean Nusselt number whereas the Darcy number does not influence it.",
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Heat transfer with natural convection of varying viscosity fluids inside porous media between vertically eccentric annuli. / Wu, Horng-Wen; Lin, I. Hsuan; Cheng, Ming Lin.

In: International Journal of Heat and Mass Transfer, Vol. 94, 01.03.2016, p. 145-155.

Research output: Contribution to journalArticle

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AB - The objective of this paper is to investigate natural convection for the temperature dependent viscosity of fluids inside porous media between two vertically eccentric spherical annuli. Brinkman-Darcy-Forchheimer (B-D-F) model and energy equation are used to simulate the fluid and heat transfer inside the porous domain. Employing the modified Sorenson's method produces orthogonal grid along all the boundaries. The grid system and weighting function scheme (WFS) are applied to discretize the governing equations. Nusselt numbers were calculated for a range of Raleigh number (1.0 × 103-8.0 × 104), dimensionless vertical eccentricity of the outer sphere (-0.65, 0, 0.65), porosity of the media (0.4 and 0.9) and Darcy number (0.1 and 0.001) for varying viscosity fluids at different Prandtl numbers (158, 405 and 720) when the radius ratio kept constant at 2.0. The results show how the Raleigh number, the eccentricity, and porosity affect mean Nusselt number whereas the Darcy number does not influence it.

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