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Research Papers: Porous Media

Effect of Apex Angle, Porosity, and Permeability on Flow and Heat Transfer in Triangular Porous Ducts

[+] Author and Article Information
S. Negin Mortazavi

Department of Mechanical Engineering,
University of Texas at Dallas,
Richardson, TX 75080
e-mail: negin@utdallas.edu

Fatemeh Hassanipour

Department of Mechanical Engineering,
University of Texas at Dallas,
Richardson, TX 75080
e-mail: fatemeh@utdallas.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 9, 2013; final manuscript received July 28, 2014; published online August 26, 2014. Assoc. Editor: Oronzio Manca.

J. Heat Transfer 136(11), 112602 (Aug 26, 2014) (8 pages) Paper No: HT-13-1532; doi: 10.1115/1.4028177 History: Received October 09, 2013; Revised July 28, 2014

This paper presents an analysis of forced convection flow and heat transfer in triangular ducts containing a porous medium. The porous medium is isotropic and the flow is laminar, fully developed with constant properties. Numerical results for velocity and temperature distribution (in dimensionless format) in the channel are presented for a wide range of porosity, permeability, and apex angles. The effects of apex angle and porous media properties (porosity and permeability) are demonstrated on the velocity and temperature distribution, as well as the friction factor (fRe) and Nusselt numbers in the channel for both Isoflux (NuH) and Isothermal (NuT) boundary conditions. The consistency of our findings has been verified with earlier results in the literature on empty triangular ducts, when the porosity in our models is made to approach one.

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References

Figures

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Fig. 1

Geometry and coordinate system for a triangular porous duct

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Fig. 2

Validation of Nusselt number for isoflux boundary condition

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Fig. 3

Validation of Nusselt number for isothermal boundary condition

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Fig. 4

Validation of friction factor (fRe)

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Fig. 5

Effect of (a) apex angle (ɛ = 0.6,K = 10-4m2), (b) porosity (2β = 60 deg,K = 10-4m2), and (c) permeability (2β = 60 deg,ɛ = 0.6) on the velocity distribution

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Fig. 6

Effect of (a) apex angle (ɛ = 0.6,K = 10-4m2), (b) porosity (2β = 60 deg,K = 10-4m2), and (c) permeability (2β = 60 deg,ɛ = 0.6) on the temperature distribution

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Fig. 7

Variation of friction factor with (a) apex angle, (b) porosity, and (c) permeability

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Fig. 8

Variation of Nusselt number with (a) apex angle, (b) porosity, and (c) permeability

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