Effect of buoyancy on the free surface flow past a permeable bed

Rudraiah, N.; Veerabhadraiah, R.

doi:10.1007/bf02587790

Cited by 7 publications

(5 citation statements)

References 7 publications

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“…According to Rudraiah and Veerabhadraiah [18] [19], the parameter 1 β ′ denotes a constant depending on the material property of the porous medium, which have can be determined only experimentally.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Stability of Geothermal Convection in Anisotropic River Beds

Degan¹,

Yovogan²,

Fagbémi³

et al. 2019

ENG

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The onset of thermal convection, due to heating from below in a system consisting of a fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity, is investigated analytically. The porous medium is both anisotropic in permeability whose principal axes are oriented in a direction that is oblique to the gravity vector and in thermal conductivity with principal directions coincident with the coordinate axes. The Beavers-Joseph condition is applied at the interface between the two layers. Based on parallel flow approximation theory, a linear stability analysis is conducted to study the geothermal river beds system and documented the effects of the physical parameters describing the problem. The critical Rayleigh numbers for both the fluid and porous layers corresponding, to the onset of convection arising from sudden heating and cooling at the boundaries are also predicted. The results obtained are in agreement with those found in the past for particular isotropic and anisotropic cases and for limiting cases concerning pure porous media and for pure fluid layer. It has demonstrated that the effects of anisotropic parameters are highly significant.

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Section: Mathematical Formulationmentioning

confidence: 99%

Stability of Geothermal Convection in Anisotropic River Beds

Degan¹,

Yovogan²,

Fagbémi³

et al. 2019

ENG

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“…The condition (29) is the modified form of the temperature boundary condition developed by Rudraiah and Veerabhadraiah [7,8] and c( is an unknown constant which is a material property of the porous medium (analogous to c~ in the Beavers and Joseph [1] condition) which can be determined only experimentally on the lines similar to that of ~. See [4].…”

Section: -22flmentioning

confidence: 99%

“…At the nominal Surface, Jones condition [6] which is a modification of the velocity slip condition of Beavers and Joseph [1] for rotational flow is used to bring about the interaction between the velocity fields in the two zones. Similarly, the use of the temperature slip boundary condition at the interface developed by Rudraiah and Veerabhadraiah [7,8] brings about the interaction between the temperature fields in the two zones. While the velocity field is obtained exactly, the temperature field is computed numerically by using the Nested Numerical Quadrature Technique (NNQT) developed by Channabasappa et al [5].…”

Section: R2mentioning

confidence: 99%

Heat transfer by rotational flow in an annulus with porous lining

Channabasappa

Umapathy

1986

Wärme- und Stoffübertragung

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Abstract. The flow and heat transfer in an annulus between rotating coaxial cylinders, with non-erodible porous lining, is investigated. The flow in the porous lining is obtained by using Brinkman equation. At the boundary between the porous lining and the free flow (the so called nominal surface), the velocity slip and the temperature slip are used. A quasi-numerical technique developed by the authors is employed in obtaining the solution of the energy equation. The effect of the thickness of the porous lining and the permeability on the velocity and the Nusselt numbers at the walls is studied.

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“…(2/0 where u m and u B2 are the slip velocities at the upper and lower interfaces, respectively, and Q x and Q 2 are the Darcy velocities at the edge of the boundary layers, i.e., z = ± 1/2 ± \/a (see Rudraiah and Veerbhadraiah [18] where they have shown that the boundary layer is of order \/a).…”

Section: Cpfimentioning

confidence: 99%