Oscillatory saturated flow of a second grade fluid in a channel

Sahoo, S. N.; Rout, Prasanna Kumar; Dash, G. C.

doi:10.18280/mmc_b.870105

Cited by 2 publications

(3 citation statements)

References 17 publications

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“…The present discussion is pertaining to the isothermal wall condition. Now, the resulting equations (14) and (15) along with the boundary conditions (16) are solved using fourth order Runge-Kutta method with a self corrective procedure (shooting technique). Most importantly, the method of solution under parametric and co-ordinate transformation play a vital role in paving the way to the solution.…”

Section: Resultsmentioning

confidence: 99%

“…The bounding surface is subjected to fluid flow with a periodic velocity and the free stream velocity oscillates about a non-zero mean value in the main direction of the flow. Recently, Sahoo et al [15] have considered a second grade, unsteady, electrically conducting, incompressible and rotating fluid flow through a channel with oscillating upper plate. Sharma et al [16] have considered the buoyancy effects on MHD mixed convection of a radiating chemically reacting binary mixture past a vertical porous plate.…”

Section: Introductionmentioning

confidence: 99%

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Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Baitharu¹,

Sahoo²,

Dash³

2020

Karbala International Journal of Modern Science

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An analysis is performed on non-Darcy mixed convective flow of non-Newtonian fluid past a vertical surface in the presence of volumetric heat source originated by some electromechanical or other devices. Further, the vertical bounding surface is subjected to power law variation of wall temperature, but the numerical solution is obtained for isothermal case. In the present non-Darcy flow model, effects of high flow rate give rise to inertia force. The inertia force in conjunction with volumetric heat source/sink is considered in the present analysis. The Runge-Kutta method of fourth order with shooting technique has been applied to obtain the numerical solution. To avoid mathematical impasse for applying R-K method we have considered isothermal wall condition. The results of major interest include velocity as well as temperature profiles and the local Nusselt number for some representative values of power-law indices. Most importantly, introduction of the coordinate and parametric transformation applied to governing equations, rarely reported in the existing literature, add to the knowledge front. Some important findings of the study are: Ergun number reduces the pseudoplastic fluid velocity boundary layer, a desirable outcome, but enhances the thermal boundary layer whereas, in case of Newtonian and dilatant fluid, the effect is not so significant. An increase in all the flow and heat transfer parameters leads to decelerate the surface cooling from pseudoplasticity to dilatancy through Newtonian; thus the present model slows down the surface cooling and decreases the skin friction in the presence of heat source for dilatant fluid.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Baitharu¹,

Sahoo²,

Dash³

2020

Karbala International Journal of Modern Science

Self Cite

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“…Recently, flow through a channel has drawn the attention of Sahoo et al 14 and Parida et al 15 Their studies are related to hydromagnetic channel flows. They have considered immiscible liquids, forced flows, and an inclined magnetic field in their studies.…”

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confidence: 99%

Viscoelastic hydromagnetic oscillatory flow in a channel in the presence of sinusoidal pressure gradient and linear motion of the plate

2021

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The surge of interest to explain the effect of sinusoidal pressure gradient on an unsteady two-dimensional viscoelastic hydromagnetic flow in a channel backed with porous material is the focus of discussion in the present problem. The channel walls are subjected to constant motion. The presence of a transverse magnetic field at a distance acts as an additional body force, a controlling device, as well an input of the system. The elasticity of the liquid in motion and porosity of the medium characterize the flow field. The analytical solution ends in an important conclusion: the degree of the elastic property of the liquid (addition of polymeric substance) acts to accelerate the flow, and the magnetic intensity of the transversal magnetic field acts as an input to decelerate the motion as well as regulate the oscillatory time to avoid flow reversal. K E Y W O R D S elastico-viscous fluid, MHD flow, oscillating pressure gradient, porous media, volume flow rate 1 | INTRODUCTION The unsteady two-dimensional (2D) hydromagnetic flow of viscoelastic nonmagnetic and electrically conducting hydromagnetic flow of viscoelastic flow subjected to a transversal magnetic field is to be considered in the present theoretical investigation. An electric field is

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Oscillatory saturated flow of a second grade fluid in a channel

Cited by 2 publications

References 17 publications

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Viscoelastic hydromagnetic oscillatory flow in a channel in the presence of sinusoidal pressure gradient and linear motion of the plate

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