Effects of temperature-dependent viscosity on natural convection in porous media

Huann Ming Chou, Horng-Wen Wu, I. Hsuan Lin, Wei Jen Yang, Ming Lin Cheng

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This analysis has studied natural convection for the temperature-dependent viscosity of fluids inside porous media between two concentric spheres by numerically solving the Brinkman-Darcy-Forchheimer model, vorticity transport, and energy equations. Parameters included Rayleigh numbers (5.0 × 103-8.0 × 104) at radius ratios of 1.5, 2.0, and 3.5 with porosities of 0.4 and 0.9 for variable-viscosity fluids with Prandtl numbers (158, 405, and 720) when the Darcy number was changed at 0.1 and 0.001. The results showed that the mean Nusselt number varied with Rayleigh number, porosity, radius ratio, and variable viscosity but did not change with the Darcy number.

Original languageEnglish
Pages (from-to)1331-1350
Number of pages20
JournalNumerical Heat Transfer; Part A: Applications
Volume68
Issue number12
DOIs
Publication statusPublished - 2015 Dec 17

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Temperature-dependent Viscosity
Variable Viscosity
Rayleigh number
Natural Convection
Porosity
Natural convection
free convection
Porous Media
Porous materials
Radius
Viscosity
viscosity
Fluid
Nusselt number
Prandtl number
Concentric
Vorticity
concentric spheres
porosity
radii

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Condensed Matter Physics

Cite this

Chou, Huann Ming ; Wu, Horng-Wen ; Lin, I. Hsuan ; Yang, Wei Jen ; Cheng, Ming Lin. / Effects of temperature-dependent viscosity on natural convection in porous media. In: Numerical Heat Transfer; Part A: Applications. 2015 ; Vol. 68, No. 12. pp. 1331-1350.
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Effects of temperature-dependent viscosity on natural convection in porous media. / Chou, Huann Ming; Wu, Horng-Wen; Lin, I. Hsuan; Yang, Wei Jen; Cheng, Ming Lin.

In: Numerical Heat Transfer; Part A: Applications, Vol. 68, No. 12, 17.12.2015, p. 1331-1350.

Research output: Contribution to journalArticle

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AU - Chou, Huann Ming

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AU - Lin, I. Hsuan

AU - Yang, Wei Jen

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AB - This analysis has studied natural convection for the temperature-dependent viscosity of fluids inside porous media between two concentric spheres by numerically solving the Brinkman-Darcy-Forchheimer model, vorticity transport, and energy equations. Parameters included Rayleigh numbers (5.0 × 103-8.0 × 104) at radius ratios of 1.5, 2.0, and 3.5 with porosities of 0.4 and 0.9 for variable-viscosity fluids with Prandtl numbers (158, 405, and 720) when the Darcy number was changed at 0.1 and 0.001. The results showed that the mean Nusselt number varied with Rayleigh number, porosity, radius ratio, and variable viscosity but did not change with the Darcy number.

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