Flow Features of a Conducting Fluid Near an Accelerated Vertical Plate in Porous Medium with Ramped Wall Temperature

Kundu, Prabir Kumar; Das, Koushik; Acharya, Nilangshu

doi:10.1017/jmech.2014.14

Cited by 15 publications

(8 citation statements)

References 23 publications

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“…Mention may be made of the research studies of Rajesh (2010), Samiulhaq et al (2012), Das (2012), Das (2013, 2014), Ahmed and Das (2013a, b), Nandkeolyar et al (2013aNandkeolyar et al ( , 2013b, Narahari and Sulaiman (2013), Das et al (2014), Kundu et al (2014). Recently, Seth et al (2014Seth et al ( , 2015a considered hydromagnetic natural convection heat and mass transfer flow with Hall current past an infinite moving vertical plate with ramped temperature in a rotating medium considering different aspects of the problems.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature

Seth

Sharma

Kumbhakar

2016

JAFM

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Investigation of unsteady hydromagnetic natural convection flow with heat and mass transfer of a viscous, incompressible, electrically conducting, chemically reactive and optically thin radiating fluid past an exponentially accelerated moving vertical plate with arbitrary ramped temperature embedded in a fluid saturated porous medium is carried out. Exact solutions of momentum, energy and concentration equations are obtained in closed form by Laplace transform technique. The expressions for the shear stress, rate of heat transfer and rate of mass transfer at the plate for both ramped temperature and isothermal plates are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas those of shear stress, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. It is found that, for isothermal plate, the fluid temperature approaches steady state when 1.5 t  . Consequently, the rate of heat transfer at isothermal plate approaches steady state when 1.5 t  .

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Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature

Seth

Sharma

Kumbhakar

2016

JAFM

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“…Nandkeolyar et al (2013) investigated unsteady hydromagnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation. Kundu et al (2014) considered unsteady MHD free convection mass transfer boundary layer flow of an incompressible electrically conducting fluid past an…”

Section: Introductionmentioning

confidence: 99%

Unsteady Hydromagnetic Heat and Mass Transfer Natural Convection Flow Past an Exponentially Accelerated Vertical Plate With Hall Current and Rotation in the Presence of Thermal and Mass Diffusions

Singh¹,

Joshi²,

Begum³

et al. 2016

Frontiers in Heat and Mass Transfer

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In the present analytical study, we have considered unsteady hydromagnetic heat and mass transfer natural convection flow of an electrically conducting, heat absorbing and chemically reacting fluid past an exponentially accelerated vertical plate in a uniform porous medium taking Hall current and rotation into account. The species concentration near the plate is considered to be varies linearly with time. Two particular cases for plate temperature are considered i.e. (i) plate temperature is uniform and (ii) plate temperature varies linearly with time and after some time it is maintained at uniform temperature. The coupled partial differential equations governing the fluid flow problem are solved analytically for fluid velocity, temperature and species concentration using Laplace transform method. To examine the physical characteristic of this problem the graphs for velocity, temperature, species concentration, skin friction, Nusselt number and Sherwood number distributions are computed and generated for various values of different pertinent flow parameters. It is observed that for small thermal diffusion, the free stream value of velocity and temperature are achieved nearer to the plate in comparison to that for large thermal diffusion.

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“…Also, several researchers investigated unsteady hydromagnetic free convection flow past a vertical plate with ramped wall temperature considering various aspects of the problem. Some of the relevant studies are due to Chandran et al (2005), Rajesh and Chamkha (2014), Kundu et al (2014), and Seth et al (2016).…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Effect of Hall Current on MHD Natural Convection Heat and Mass Transfer Flow of Rotating Fluid Past a Vertical Plate With Ramped Wall Temperature

Seth¹,

Bhattacharyya²,

Tripathi³

2017

Frontiers in Heat and Mass Transfer

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A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped temperature, embedded in a porous medium is carried out, considering the effects of Hall current and rotation. Governing equations are non-dimensionalized and Laplace Transform Technique is used to find the exact solutions for non-dimensional velocity, temperature and concentration fields. The quantities of physical interest i.e. shear stress at the plate, rate of heat and mass transfers at the plate are also derived. Numerical results for the velocity, temperature and species concentration of the fluid are demonstrated with the help of graphs whereas those of shear stress at the plate, rate of heat and mass transfers at the plate are displayed in tables for various flow parameters. It is observed that fluid velocities as well as fluid temperature profiles are slower in case of ramped temperature plate than those of isothermal plate.

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Flow Features of a Conducting Fluid Near an Accelerated Vertical Plate in Porous Medium with Ramped Wall Temperature

Cited by 15 publications

References 23 publications

Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature

Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature

Unsteady Hydromagnetic Heat and Mass Transfer Natural Convection Flow Past an Exponentially Accelerated Vertical Plate With Hall Current and Rotation in the Presence of Thermal and Mass Diffusions

Effect of Hall Current on MHD Natural Convection Heat and Mass Transfer Flow of Rotating Fluid Past a Vertical Plate With Ramped Wall Temperature

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