Closed-Form Solutions for MHD Flow of a Second-Grade Fluid Through Porous Space

Khan, Masood; Iqbal, Kaleem; Azram, Mohammad

doi:10.1615/specialtopicsrevporousmedia.v2.i2.60

Cited by 7 publications

(5 citation statements)

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“…Hayat and Abbas [15] , by means of homotopy analysis method, have studied the heat transfer on the MHD flow of second grade fluids in a channel with porous medium. Closed form solutions for MHD flow of a second grade fluid through porous space are obtained by Khan et al [16] . Thermal effects in Stokes’ second problem for second grade fluid through a porous medium under the effect of magnetic field have been investigated by Srinivasa Rao et al [17] .…”

Section: Introductionmentioning

confidence: 99%

Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

et al. 2014

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Magnetic field influence on unsteady free convection flow of a second grade fluid near an infinite vertical flat plate with ramped wall temperature embedded in a porous medium is studied. It has been observed that magnitude of velocity as well as skin friction in case of ramped temperature is quite less than the isothermal temperature. Some special cases namely: (i) second grade fluid in the absence of magnetic field and porous medium and (ii) Newtonian fluid in the presence of magnetic field and porous medium, performing the same motion are obtained. Finally, the influence of various parameters is graphically shown.

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Section: Introductionmentioning

confidence: 99%

Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

et al. 2014

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“…In a separate study, Hayat and Abbas [15] utilized the homotopy analysis method to scrutinize heat transfer in the magneto hydrodynamic (MHD) flow of second-grade fluids within porous media. Khan et al, [16] derived a closed-form solution, Srinivasa et al, [17] investigated thermal effects in Stoke's problem, and Mustafa et al, [18] investigated the natural convection flow of second-grade fluids along a vertical plate, taking into account their viscoelastic properties. Within the realm of engineering, magnetohydrodynamics (MHD) has been employed to produce electricity from ionized gas through the application of a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Free Convection Flow of a Second Grade Casson Fluid with Ramped Wall Temperature

K. Venkata Chandra Sekhar

2023

ARFMTS

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The present study delves into the analysis of unsteady free convection flow involving a non-Newtonian Casson fluid adjacent to an infinitely tall vertical plate. The primary objective of this article is to examine the flow behaviour of a second-grade Casson fluid under varying critical parameters. The plate exhibits a gradual increase in wall temperature and is situated within a porous medium. The governing equations are transformed into a dimensionless form, using non dimensionless variables. The method of Laplace transform (MOLT) is employed to derive accurate solutions for the temperature and velocity within the flow field. To enhance comprehension of the issue, The impact of different physical parameters on the flow field has been examined through the utilization of graphs and tables. Outcome of the problem was compared with existing one which was in good agreement. The study revealed that the velocity magnitude was lower in the scenario with ramped temperature compared to the scenario with isothermal temperature. Finally, skin friction and Nusselt numbers of the present work are tabulated. The significant outcome of the present work is that the flow field for the present phenomena is same as that of the existing one in absence of radiation parameter and heat source parameter when, u(0,t)=0, β=∞.

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“…Having these complexities several scholars are busy in order to contribute in this phenomenon (presence and absence of porous medium and MHD). In our cognizance, some valuable contribution has been made by Khan et al (2011) in which they studied magnetohydrodynamics flow of second grade fluid in porous medium for closed form solution. Hussain et al (2010) has investigated second grade fluid in porous medium under oscillatory flows.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of magnetohydrodynamics generalized Burger’s fluid embedded with porosity

Abro

2017

Int. j. adv. appl. sci.

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This analysis is devoted to investigate analytical solutions of magnetohydrodynamics (MHD) generalized Burger's fluid embedded with porous medium as a sum of Newtonian and non-Newtonian forms. The solutions are investigated for velocity field and shear stress and governing partial differential equations have been solved via the integral transforms. The solutions for velocity field and shear stress have been expressed into compact form i-e in terms of series form. The general solutions also satisfy initial and boundary condition and particularized for special cases along with sum of Newtonian and non-Newtonian forms. The impacts of permeability (porosity), magnetism and several rheological parameters have been analyzed for fluid flows by portraying graphical illustrations. The graphs are depicted via latest software namely Mathematica and Mathcad (16) packages.

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Closed-Form Solutions for MHD Flow of a Second-Grade Fluid Through Porous Space

Cited by 7 publications

References 0 publications

Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

Unsteady MHD Free Convection Flow of a Second Grade Casson Fluid with Ramped Wall Temperature

Analytical solution of magnetohydrodynamics generalized Burger’s fluid embedded with porosity

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