The effect of the thickness of the porous material on the parallel plate channel flow when the walls are provided with non-erodible porous lining

Channabasappa, M. N.; Umapathy, K. G.; Nayak, Itishree

doi:10.1007/bf00384123

Cited by 7 publications

(2 citation statements)

References 7 publications

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“…In this paper we study the flow between two concentric rotating cylinders with porous lining following the models of Channabasappa etal. [3][4][5]. Brinkman model [2] is used to study the flow in the porous lining (zone 2), while the Navier-Stokes equations are used to study the flow in the region (zone 1) past the porous lining.…”

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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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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“…Although the slip at the nominal surface was established based on the extension of a thin boundary layer just beneath the nominal surface attention was not focused on the analytical determination of the boundary layer thickness. Later Chennabasappa and Ramanna [7] discussed the effect of the thickness of the porous material on the parallel plate channel. Valanis and Sun [8] investigated the Poiseuille flow of fluid with couple stress with Applications to blood flow.…”

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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Analysis of the squeezing flow of dusty fluids

Hamdan

Barron

1992

Applied Scientific Research

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The effect of the thickness of the porous material on the parallel plate channel flow when the walls are provided with non-erodible porous lining

Cited by 7 publications

References 7 publications

Heat transfer by rotational flow in an annulus with porous lining

Heat transfer by rotational flow in an annulus with porous lining

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

Analysis of the squeezing flow of dusty fluids

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