Hydromagnetic Free Convective Rivlin - Ericksen Flow through a Porous Medium with Variable Permeability

Humera, G. Noushima; Murthy, M.V. Ramana; Reddy, M. Chenna Krishna; Rafi-Ud-Din, .; Ramu, Arun; Rajender, S.

doi:10.37622/ijcam/5.3.2010.267-275

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…Jordana and Purib [1] presented the exact solutions and some limiting and special cases for Stokes' first problem for a Rivlin-Ericksen fluid of second grade in a porous half-space taking into account the isothermal conditions using Laplace transform techniques. Noushima [2] et al investigated the unsteady behavior of Rivlin Ericksen viscoelastic flow of electrically conducting fluid across an infinite vertical plate of porous nature subjected to the constant suction and variable permeability. Varshney [3] et al explored the rotatory Rivlin Ericksen visco elastic flow of electrically conducting fluid past a moving infinite surface given exponential acceleration and constant suction while considering the constant heat and mass flux in the flow.…”

Section: Introductionmentioning

confidence: 99%

Slip Effects on Unsteady MHD Free Convective Flow of Rivlin-Ericksen Fluid in the Presence of Heat Source/Sink

Deepti¹

2022

ECS Trans.

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In the present work, an investigation on MHD flow of viscoelastic fluid of Rivlin-Ericksen type across a semi-infinite plate in the presence of heat source/sink under free convection is conducted. The plate is moving with constant velocity subjected to periodic suction along with slip conditions. Further, the free stream velocity is taken of oscillatory in nature. The transport equations governing the flow are solved using perturbation analysis. The solutions obtained for the required fields viz. velocity, temperature, and concentration which characterizes the flow are discussed graphically for varying situational parameters appeared in the flow. The presence of heat source/sink in the vicinity of considered fluid has significant effect on the velocity near the plate. Further, the drag at the plate, Nusselt and Sherwood number, are evaluated for varying situational parameters which are compiled in the tabular format.

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Section: Introductionmentioning

confidence: 99%

Slip Effects on Unsteady MHD Free Convective Flow of Rivlin-Ericksen Fluid in the Presence of Heat Source/Sink

Deepti¹

2022

ECS Trans.

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“…[11] obtained the analytic solutions for velocity,temperature,concentration, skinfriction, heat and mass transfer using Laplace technique. [12] studied MHD free convective non-newtonian flow with variable permeability. Numerical solution of unsteady two dimensional hydromagnetic flow with heat and mass transfer of casson fluid discussed by [13].…”

Section: Introductionmentioning

confidence: 99%

Oscillatory flow of casson fluid between parallel plates with an inclined magnetic field

Rafiuddin¹,

Ghouri²

2021

Technium

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The study of heat and mass transfer of oscillatory casson flow inporous medium subject to an inclined magnetic field, radiative heatflux and heat source is presented. It is supposed that Casson fluid islittle conductive and produced emf is insignificant. The solutions ofcoupled partial differential equations of velocity, temperature and con-centration profiles are found using Galerkins technique of finite elementmethod. The effect of various parameters such as Reynolds number Re,Grashoff number Gr, Solute Grashoff number Gc, Peclet number Pe,Hartman number Ha, Scmidth number Sc, Permeability parameter K,Radiative parameter R, Heat generation parameter S, Chemical reactionparameter Kr and frequency parameter w on velocity, temperature andconcentration are shown graphically and skin friction, Nusselts numberand Sherwood number are discussed by tables.

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“…Rana et al [23] studied, thermal instability of compressible Rivlin-Ericksen rotating fluid permeated with suspended dust particles in porous medium. Noushima Humera et al [24] discussed hydromagnetics free convective Rivlin-Ericksen flow through a porous medium with variable permeability. Takhar et al [25] examined, dissipation effects on MHD free convection flow past a semi-infinite vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Investigation of an Unsteady MHD Free Convection Heat and Mass Transfer Flow of a Non-Newtonian Fluid Flow Past a Permeable Moving Vertical Plate in the Presence of Thermal Diffusion and Heat Sink

Ravikumar¹,

Raju²,

Raju

2015

JERA

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The problem of unsteady, two-dimensional, laminar, boundary-layer flow of a viscous, incompressible, electrically conducting and heat-absorbing Rivlin-Ericksen flow fluid along a semi-infinite vertical permeable moving plate has been investigated. A uniform transverse magnetic field is applied in the direction of the flow. The presence of thermal and concentration buoyancy effects is considered. The plate is assumed to move with a constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time-dependent wall suction is assumed to occur at the permeable surface. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and some graphical results for the velocity, temperature and concentration distributions within the boundary layer are presented. Skin-friction coefficient, Nusselt number and Sherwood number are also discussed with the help of the graphs. Local skin-friction coefficient increases with an increase in the permeability parameter, and Soret number whereas reverse effects is seen in the case of dimensionless viscoelasticity parameter of the Rivlin-Ericksen fluid. Nusselt number decreases in the presence of heat absorption. The presence of Soret number Sherwood number increases.

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Hydromagnetic Free Convective Rivlin - Ericksen Flow through a Porous Medium with Variable Permeability

Cited by 7 publications

References 8 publications

Slip Effects on Unsteady MHD Free Convective Flow of Rivlin-Ericksen Fluid in the Presence of Heat Source/Sink

Slip Effects on Unsteady MHD Free Convective Flow of Rivlin-Ericksen Fluid in the Presence of Heat Source/Sink

Oscillatory flow of casson fluid between parallel plates with an inclined magnetic field

Theoretical Investigation of an Unsteady MHD Free Convection Heat and Mass Transfer Flow of a Non-Newtonian Fluid Flow Past a Permeable Moving Vertical Plate in the Presence of Thermal Diffusion and Heat Sink

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