Radiation Effects on Free Convection Flow Near a Moving Vertical Plate with Newtonian Heating

Narahari, Marneni; Ishak, Anuar Mohd

doi:10.3923/jas.2011.1096.1104

Cited by 62 publications

(40 citation statements)

References 12 publications

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“…The most recent analytical solutions for such flows seem to be those of Toki [6], Rajesh [7], Narahari and Ishak [8], Seth et al [9], Samiulhaq et al [10,11] and Fetecau et al [12]. However, in all these papers the possibility of fluid slippage at walls is not taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

“…The energy equation (9) is not coupled to the momentum equation (8). Therefore, we shall firstly establish the exact solution for the temperature.…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Applying the Laplace transform to (8) and using the corresponding initial and boundary conditions, we obtain the next problem forū(y, q):…”

Section: Calculation Of the Velocity Fieldmentioning

confidence: 99%

“…In the following, the solutions of partial differential equations (8) and (9), with the initial and boundary conditions (10) -(12), will be determined by means of Laplace transforms. The energy equation (9) is not coupled to the momentum equation (8).…”

Section: Solution Of the Problemmentioning

confidence: 99%

See 3 more Smart Citations

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru

Fetecău

Akhter

2013

Zeitschrift Für Naturforschung A

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General solutions for the magnetohydrodynamic (MHD) natural convection flow of an incompressible viscous fluid over a moving plate are established when thermal radiation, porous effects, and slip condition are taken into consideration. These solutions, obtained in closed-form by Laplace transform technique, depend on the slip coefficient and the three essential parameters Gr, Pr eff , and K eff . They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. For illustration, two special cases are considered and some interesting results from the literature are recovered as limiting cases. The influence of pertinent parameters on the fluid motion is graphically underlined.

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Section: Introductionmentioning

confidence: 99%

“…The energy equation (9) is not coupled to the momentum equation (8). Therefore, we shall firstly establish the exact solution for the temperature.…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Applying the Laplace transform to (8) and using the corresponding initial and boundary conditions, we obtain the next problem forū(y, q):…”

Section: Calculation Of the Velocity Fieldmentioning

confidence: 99%

Section: Solution Of the Problemmentioning

confidence: 99%

See 2 more Smart Citations

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru

Fetecău

Akhter

2013

Zeitschrift Für Naturforschung A

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“…Makinde and Chinyoka [17] performed a numerical study to investigate the transient heat transfer in channel flow of an electrically conducting variable viscosity Boussinesq fluid in the clear presence of magnetic field and thermal radiation. Narahari and Ishak [24] investigated the influence of radiation on the unsteady free convection flow of a viscous incompressible fluid past a moving vertical plate with Newtonian heating. Free convection near an impulsively started infinite vertical plate with Newtonian heating in the clear presence of thermal radiation and uniform mass diffusion was studied by Narahari and Nayan [25].…”

Section: Introductionmentioning

confidence: 99%

Variable mass diffusion effects on free convection flow past an impulsively started infinite vertical plate

Kumar

Jayakar

Kumar

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. An exact analysis of the problem of free convection flow of a viscous incompressible chemically reacting fluid past an infinite vertical plate with the flow due to impulsive motion of the plate with Newtonian heating in the presence of thermal radiation and variable mass diffusion is performed. The resulting governing equations were tackled by Laplace transform technique. Finally the effects of pertinent flow parameters such as the radiation parameter, chemical reaction parameter, buoyancy ratio parameter, thermal Grashof number, Schmidt number, Prandtl number and time on the velocity, temperature, concentration and skin friction for both aiding and opposing flows were examined in detail when Pr=0.71(conducting air) and Pr=7.0(water).

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Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity

Cortell¹

2011

Can J Chem Eng

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This paper treats about the flow and heat transfer of a viscous incompressible fluid in a porous medium over a permeable stretching surface taking into account thermal radiation and the variation of the thermal conductivity with temperature. Analytical solutions for the stream function are obtained and two cases are studied, namely, (i) prescribed surface temperature (PST case) and (ii) prescribed heat flux (PHF case). The effects of Prandtl number, permeability, suction/blowing, variable thermal conductivity, thermal radiation and surface temperature parameters on heat-transfer characteristics are shown through tables and graphs and discussed.Ce document concerne l´écoulement et le transfer de chaleur dans le cas dún fluide visqueux incompressible dans un milieu poreux sur une poreux surface s´étendant en tenant compte de la radiation thermique et de la conductivité thermodépendante. Les solutions analytiques pour la fonction de courant sont obtenus et deux conditionsà la frontière pour la tempèrature et le flux de chaleur sont apliquées: (i) predicted surface tempèrature (PST) et (ii) le flux de chaleur predicted (PHF). Les effects du nombre de Prandtl, perméabilité, succion/soufflage, conductivité thermodépendante, radiation thermique et de la surface tempèrature sur le transfer de chaleur sont indiqués dans des tableaux et des graphiques, puis sont discutés.

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Radiation Effects on Free Convection Flow Near a Moving Vertical Plate with Newtonian Heating

Cited by 62 publications

References 12 publications

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Variable mass diffusion effects on free convection flow past an impulsively started infinite vertical plate

Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity

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