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Modeling of Flow and Heat Transfer in Porous Media

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Fluid Flow and Heat Transfer in Rotating Porous Media

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSTHERMAL))

Abstract

Modeling of flow and heat transfer in rotating porous media is introduced in this chapter. The governing equations are presented and transformed into dimensionless form in order, among others, to identifying conditions for neglecting terms in these equations. The classification of different types of rotating flows in porous media concludes the chapter.

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References

  • Auriault JL, Geindreau C, Royer P (2000) Filtration law in rotating porous media. CR Acad Sci Paris 328(Serie II b):779–784

    Google Scholar 

  • Auriault JL, Geindreau C, Royer P (2002) Coriolis effects on filtration law in rotating porous media. Transp Porous Media 48:315–330

    Article  MathSciNet  Google Scholar 

  • Boussinesq J (1903) Theorie Analitique de la Chaleur. Gutheir-Villars, Paris, vol 2, p 172

    Google Scholar 

  • Govender S (2010) Vadasz number influence on vibration in a rotating porous layer placed far away from the axis of rotation. J Heat Transf 132:112601/1-112601/4

    Google Scholar 

  • Hsu CT, Cheng P (1990) Thermal dispersion in a porous medium. Int J Heat Mass Transf 33:700–706

    Article  Google Scholar 

  • Nield DA (1983) The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation. J. Fluid Mech 128:37–46

    Article  MathSciNet  MATH  Google Scholar 

  • Nield DA (1991) The limitations of the Brinkman-Forchheimer equation in modeling flow in a saturated porous medium and at an interface. Int J Heat Fluid Flow 12(3):269–272

    Article  Google Scholar 

  • Nield DA (1995) Discussion on “Analysis of heat transfer regulation and modification employing intermittently emplaced porous cavities. J Heat Transf 117:554–555

    Article  Google Scholar 

  • Palm E, Tyvand A (1984) Thermal convection in a rotating porous layer. J Appl Math Phys (ZAMP) 35:122–123

    Article  MATH  Google Scholar 

  • Sheu L-J (2008) An autonomous system for chaotic convection in a porous medium using a thermal non-equilibrium model. Chaos Solitons Fractals 30:672–689. Springer, ISBN: 0387765417

    Google Scholar 

  • Straughan B (2001) A sharp nonlinear stability threshold in rotating porous convection. Proc R Soc Lond A 457:87–93

    Article  MathSciNet  MATH  Google Scholar 

  • Straughan B (2008) Stability and wave motion in porous media. (Applied Mathematical Sciences Series). Springer, ISBN: 0387765417

    Google Scholar 

  • Vadasz P (1997) Flow in rotating porous media. In: du Plessis P, Rahman M (eds) Fluid transport in porous media from the series Advances in fluid mechanics, vol 13, pp 161–214. Computational Mechanics Publications, Southampton

    Google Scholar 

  • Vadasz P (2000) Fluid flow and thermal convection in rotating porous media. In: Vadfai Kambiz (ed) Handbook of porous media. Marcel Dekker, New York, pp 395–439

    Chapter  Google Scholar 

  • Vafai K, Kim SJ (1990) Analysis of surface enhancement by a porous substrate. J Heat Transf 112:700–706

    Article  Google Scholar 

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Authors and Affiliations

  1. Department Mechanical Engineering, Northern Arizona University, Flagstaff, AZ, USA

    Peter Vadasz

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  1. Peter Vadasz
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Correspondence to Peter Vadasz .

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Vadasz, P. (2016). Modeling of Flow and Heat Transfer in Porous Media. In: Fluid Flow and Heat Transfer in Rotating Porous Media. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-20056-9_2

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  • DOI: https://doi.org/10.1007/978-3-319-20056-9_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20055-2

  • Online ISBN: 978-3-319-20056-9

  • eBook Packages: EngineeringEngineering (R0)

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