Temperature distribution in Couette flow past a permeable bed

Rudraiah, N.; Veerabhadraiah, R.

doi:10.1007/bf03046910

Cited by 10 publications

(5 citation statements)

References 5 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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“…Rudraiah et al [7] investigated the Hartmann flow past a permeable bed in the presence of magnetic field with an interface at the surface of permeable bed and provided a theoretical model for the experimental work of Wallace et al Beavers and Joseph [8] in their experimental work on boundary conditions at a naturally permeable wall confirmed the existence of slip at the interface separating the flow in the channel and the permeable boundaries. Richardson [9] , Rajasekhar [10] , and Rudraiah and Veerbhadraiah [11] established both theoretically and experimentally that the boundary condition developed by Beavers and Joseph is valid for plane boundaries.…”

Section: Introductionmentioning

confidence: 97%

Hydromagnetic flow through uniform channel bounded by porous media

Ramakrishnan¹,

Karthikeyan²

2011

Appl. Math. Mech.-Engl. Ed.

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The combined effects of the magnetic field, permeable walls, Darcy velocity, and slip parameter on the steady flow of a fluid in a channel of uniform width are studied. The fluid flowing in the channel is assumed to be homogeneous, incompressible, and Newtonian. Analytical solutions are constructed for the governing equations using Beavers-Joseph slip boundary conditions. Effects of the magnetic field, permeability, Darcy velocity, and slip parameter on the axial velocity, slip velocity, and shear stress are discussed in detail. It is shown that the Hartmann number, Darcy velocity, porous parameter, and slip parameter play a vital role in altering the flow and in turn the shear stress.

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“…His experimental results were found to be in fair agreement with the analytical model which contains slip velocity at the permeable surface, except the mass flow rate which shows a slight deviation between experimental and theoretical data. Rudraiah and Veerabhadraiah [13] have pointed out that this deviation may be due to the neglecting of buoyancy force. Rao and Krishna [14] discussed the Hall effects on free and forced convective flow in a rotating channel.…”

Section: Introductionmentioning

confidence: 99%

Hall Current Effects on Unsteady MHD Flow in a Rotating Parallel Plate Channel Bound-ed by Porous Bed on the Lower Half—Darcy Lapwood Model

Krishna¹,

Prakash²

2015

OJFD

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We discussed the unsteady flow of an incompressible viscous fluid in a rotating parallel plate channel bounded on one side by a porous bed under the influence of a uniform transverse magnetic field taking hall current into account. The perturbations are created by a constant pressure gradient along the plates in addition to the non-torsional oscillations of the upper plate. The flow in the clean fluid region is governed by Navier-Stoke's equations while in the porous bed the equations are based on Darcy-Lapwood model. The exact solutions of velocity in the clean fluid and the porous medium consist of steady state and transient state. The time required for the transient state to decay is evaluated in detail and ultimate quasi-steady state solution has been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters. The shear stresses on the boundaries and the mass flux are also obtained analytically and their behaviour is computationally discussed.

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Temperature distribution in Couette flow past a permeable bed

Cited by 10 publications

References 5 publications

Stability of Geothermal Convection in Anisotropic River Beds

Stability of Geothermal Convection in Anisotropic River Beds

Hydromagnetic flow through uniform channel bounded by porous media

Hall Current Effects on Unsteady MHD Flow in a Rotating Parallel Plate Channel Bound-ed by Porous Bed on the Lower Half—Darcy Lapwood Model

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