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Other Effects of Rotation on Flow and Natural Convection in Porous Media

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Fluid Flow and Heat Transfer in Rotating Porous Media

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Abstract

Combined gravity and centrifugal buoyancy due to thermal gradients are introduced in this chapter, followed by onset of convection in a binary mixture saturating the rotating porous layer. Effects of lack of local thermal equilibrium or local thermal non-equilibrium are then discussed. The case when the porous medium is anisotropic and the resulting effects on convection are then introduced. Applications of rotating porous media to nanofluids and solidification of binary alloys conclude this chapter.

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References

  • Agarwal S, Bhadauria BS, Siddheshwar PG (2011) Thermal instability of a nanofluid saturating a rotating anisotropic porous medium. Spec Top Rev Porous Media Int J 2(1):53–64

    Article  Google Scholar 

  • Bhadauria BS (2008) Effect of temperature modulation on the onset of Darcy convection in a rotating porous medium. J Porous Media 11(4):361–375

    Article  Google Scholar 

  • Chakrabarti A, Gupta AS (1981) Nonlinear thermohaline convection in a rotating porous medium. Mech Res Commun 8(1):9–22

    Article  MathSciNet  MATH  Google Scholar 

  • Govender S (2006) On the effect of anisotropy on the stability of convection in rotating porous media. Transport in Porous Media 64(4):413–422

    Article  MathSciNet  Google Scholar 

  • Govender S, Vadasz P (1995) Centrifugal and gravity driven convection in rotating porous media—an analogy with the inclined porous layer. ASME-HTD 309:93–98

    Google Scholar 

  • Govender S, Vadasz P (2002a) Weak non-linear analysis of moderate Stefan number oscillatory convection in rotating mushy layers. Transp Porous Media 48(3):353–372

    Article  MathSciNet  Google Scholar 

  • Govender S, Vadasz P (2002b) Weak non-linear analysis of moderate Stefan number stationary convection in rotating mushy layers. Transp Porous Media 49(3):247–263

    Article  MathSciNet  Google Scholar 

  • Govender S, Vadasz P (2007) The effect of mechanical and thermal anisotropy on the stability of gravity driven convection in rotating porous media in the presence of thermal non-equilibrium. Transp Porous Media 69(1):55–66

    Article  Google Scholar 

  • Malashetty MS, Swamy M, Kulkarni S (2007) Thermal convection in a rotating porous layer using a thermal nonequilibrium model. Phys Fluids 19(054102):1–16

    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 

  • Rana P, Agarwal S (2015) Convection in a binary nanofluid saturated rotating porous layer. J Nanofluids 4:1–7

    Article  MATH  Google Scholar 

  • Rudraiah N, Shivakumara IS, Friedrich R (1986) The effect of rotation on linear and non-linear double-diffusive convection in a sparsely packed porous medium. Int J Heat Mass Transf 29:1301–1317

    Article  MATH  Google Scholar 

  • Vadasz P (1998) Coriolis effect on gravity-driven convection in a rotating porous layer heated from below. J Fluid Mech 376:351–375

    Article  MathSciNet  MATH  Google Scholar 

  • Vadasz P, Govender S (1998) Two-dimensional convection induced by gravity and centrifugal forces in a rotating porous layer far away from the axis of rotation. Int J Rotating Mach 4(2):73–90

    Article  Google Scholar 

  • Vadasz P, Govender S (2001) Stability and stationary convection induced by gravity and centrifugal forces in a rotating porous layer distant from the axis of rotation. Int J Eng Sci 39(6):715–732

    Article  MATH  Google Scholar 

  • Vadasz P, Heerah A (1998) Experimental confirmation and analytical results of centrifugally-driven free convection in rotating porous media. J Porous Media 1(3):261–272

    Google Scholar 

  • Vadasz P, Olek S (1998) Transitions and chaos for free convection in a rotating porous layer. Int J Heat Mass Transf 41(11):1417–1435

    Article  MATH  Google Scholar 

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Vadasz, P. (2016). Other Effects of Rotation on Flow and Natural Convection 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_6

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  • DOI: https://doi.org/10.1007/978-3-319-20056-9_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20055-2

  • Online ISBN: 978-3-319-20056-9

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