Non-Darcian Effects in Confined Forced Convective Flows

Vafai, Kambiz; Amiri, A.

doi:10.1016/b978-008042843-7/50013-1

Cited by 39 publications

(16 citation statements)

References 53 publications

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“…Realizing this fact, investigations have been carried out in the recent past to know LTNE effects on forced and free convection in porous media involving ordinary viscous fluids. The LTNE effects on forced convection flows in a porous medium have been covered exhaustively in the excellent reviews by Vafai and Amiri (1998) and Kuznetsov (1998). Rees and Pop (1999, Banu and Rees (2002), and Postelnicu and Rees (2003) have investigated LTNE effect on free convective flows in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

Lee

Shivakumara

Ravisha³

2010

Transp Porous Med

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The effect of local thermal non-equilibrium (LTNE) on the onset of thermomagnetic convection in a ferromagnetic fluid-saturated horizontal porous layer in the presence of a uniform vertical magnetic field is investigated. A modified Forchheimer-extended Darcy equation is employed to describe the flow in the porous medium, and a two-field model is used for temperature representing the solid and fluid phases separately. It is found that both the critical Darcy-Rayleigh number and the corresponding wave number are modified by the LTNE effects. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient H t are presented and compared with those computed numerically. An excellent agreement is obtained between the asymptotic and the numerical results. Besides, the influence of magnetic parameters on the instability of the system is also discussed. The available results in the literature are recovered as particular cases from the present study.

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Section: Introductionmentioning

confidence: 99%

Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

Lee

Shivakumara

Ravisha³

2010

Transp Porous Med

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“…Most of the more recent studies of thermal non-equilibrium effects have considered forced convective flows, and many of these have been reviewed in the chapters by Vafai and Amiri (1998) and Kuznetsov (1993). However, we are interested in the onset of free convection and the literature associated with this aspect is very limited.…”

Section: Introductionmentioning

confidence: 99%

The onset of Darcy-Brinkman convection in a porous layer using a thermal nonequlibrium model?part I:stress-free boundaries

Postelnicu

Rees

2003

Int. J. Energy Res.

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SUMMARYThe paper deals with the onset of convection in a porous layer heated from below, by considering the case when the fluid and solid phases are not in local thermal equilibrium and when form-drag and boundary effects are included in the analysis. Analytical progress is facilitated by taking stress-free boundaries conditions. Asymptotic solutions for both small and large values of the scaled inter-phase heat transfer coeffcient, H, are presented and comparisons with the numerical solutions are performed. Excellent agreement is obtained between the asymptotic and the numerical results.

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“…LTNE effects on forced convection flows in a porous medium have been covered exhaustively in the excellent reviews by Vafai and Amiri [6] and Kuznetsov [7]. , Banu and Rees [11] and Postelnicu and Rees [12] have investigated the LTNE effect on free-convective flows in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Boundary and thermal non-equilibrium effects on the onset of Darcy–Brinkman convection in a porous layer

Shivakumara

Mamatha²,

Ravisha³

2010

J Eng Math

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A local thermal non-equilibrium model for the temperature representing the solid and fluid phases separately is used to study the onset of free convection in a sparsely packed porous layer using the Brinkman-extended Darcy model. The lower boundary of the porous layer is considered to be rigid and isothermal, while the upper isothermal boundary is assumed to be either rigid or free. The Galerkin method is used to obtain the eigenvalue equation, which is then solved numerically. The effects of thermal non-equilibrium and other physical parameters on the onset of convection are analyzed and compared for two types velocity boundary conditions considered. Besides, some known results available in the literature are compared with those obtained from the present study and good agreement is found.

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Non-Darcian Effects in Confined Forced Convective Flows

Cited by 39 publications

References 53 publications

Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

The onset of Darcy-Brinkman convection in a porous layer using a thermal nonequlibrium model?part I:stress-free boundaries

Boundary and thermal non-equilibrium effects on the onset of Darcy–Brinkman convection in a porous layer

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