Free and Mixed Convection about a Vertical Plate with Prescribed Temperature or Heat Flux

Malarvizhi, G.; Ramanaiah, G.; Pop, I.

doi:10.1002/zamm.19940740216

Cited by 5 publications

(7 citation statements)

References 4 publications

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“…In the presence of variable magnetic field and when there is no heat transfer, Eq. (14) reduces to that of Chiam [16]. Further when the variable thermal conductivity parameter and the magnetic parameter are absent, Eqs.…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…Numerical studies including the effects of buoyancy force conjugate conduction and thermal radiation have been reported by Karwe and Jaluria [13] for a continuous flat plate moving at a uniform speed. Malarvizi et al [14] studied the free and mixed convection about a vertical plate with prescribed temperature or heat flux. Vajravelu [15] analyzed the combined free and forced convection heat transfer at a stretching sheet with variable surface temperature and suction or blowing.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

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a b s t r a c tThis article presents a numerical solution for the steady two-dimensional mixed convection MHD flow of an electrically conducting viscous fluid over a vertical stretching sheet, in its own plane. The stretching velocity and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The temperature dependent fluid properties, namely, the fluid viscosity and the thermal conductivity are assumed to vary, respectively, as an inverse function of the temperature and a linear function of the temperature. A generalized similarity transformation is introduced to study the influence of temperature dependent fluid properties. The transformed boundary layer equations are solved numerically, using a finite difference scheme known as Keller Box method, for several sets of values of the physical parameters, namely, the stretching parameter, the temperature dependent viscosity parameter, the magnetic parameter, the mixed convection parameter, the temperature dependent thermal conductivity parameter and the Prandtl number. The numerical results thus obtained for the flow and heat transfer characteristics reveal many interesting behaviors. These behaviors warrant further study of the effects of the physical parameters on the flow and heat transfer characteristics. Here it may be noted that, in the case of the classical Navier-Stokes fluid flowing past a horizontal stretching sheet, McLeod and Rajagopal (1987) [42] showed that there exist an unique solution to the problem. This may not be true in the present case. Hence we would like to explore the non-uniqueness of the solution and present the findings in the subsequent paper.

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Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

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“…The problems with prescribed heat flux are special case of the vast analytical accessible class of problem. Lee et al [9], Malarvizhi et al [11], Burak et al [2],Kolani [8] and Pantokraters [12] are some of the researchers who have investigated the convection flow with prescribed heat flux condition. Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field were studied by SudheerBabu and Satyanarayana [19].…”

Section: Introductionmentioning

confidence: 99%

Natural Convection Heat Transfer Oscillatory Flow of an Elastico-Viscous Fluid From Vertical Plate

Kesavaiah¹,

Satyanarayana²,

Sudhakaraiah³

et al. 2013

IJRET

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This paper examines the problem of two dimensional unsteady free convection oscillatory flow of an Elastico-viscous fluid past an impulsively started infinite vertical plate with constant heat flux and heat generation. The flow is subjected to a constant suction. Using perturbation techniquethe expressions are obtained for velocity, temperature distribution and skin friction. The results obtained are discussed for various numerical values of the parameters entered into the equations governing the flow, with help of graphs.

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“…Some industrial examples of the problem are extrusion processes, cooling of nuclear reactors, glass fiber production and crystal growing. Malarvizhi et al [4], have investigated free and mixed convection flow over a vertical plate with prescribed temperature and heat flux. Kayhani, Khaje and Sadi [5] studied the natural convection boundary layer along impermeable inclined surfaces embedded in porous medium.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection MHD Flow of Nanofluid Over a Non-Linear Stretching Sheet With Effects of Viscous Dissipation and Variable Magnetic Field

Matin

Dehsara

Abbassi

2012

mech

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Free and Mixed Convection about a Vertical Plate with Prescribed Temperature or Heat Flux

Cited by 5 publications

References 4 publications

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Natural Convection Heat Transfer Oscillatory Flow of an Elastico-Viscous Fluid From Vertical Plate

Mixed Convection MHD Flow of Nanofluid Over a Non-Linear Stretching Sheet With Effects of Viscous Dissipation and Variable Magnetic Field

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