The effect of conduction—radiation on the oscillating natural convection boundary layer flow of viscous incompressible fluid along a vertical plate

This paper reveals the characteristics of mixed convection slip flow of an electrically conducting fluid over a wedge subject to temperature dependent viscosity and thermal conductivity variations. The system of dimensionless nonsimilar governing equations has been solved by an implicit finite difference method. We also use stream‐function formulation to reduce the governing equations into a convenient form, which are valid for small and large time regimes. These are solved employing the perturbation method for small time and the asymptotic method for large time. Numerical solutions yield a good agreement with the series solutions. Because of the increase in the mixed convection parameter, the peak of the velocity profile increases whereas the maximum temperature decreases. In contrast, the local skin‐friction coefficient and local Nusselt number are found to increase with the mixed convection parameter. For higher values of the velocity slip and temperature jump conditions, the local skin‐friction coefficient and the local Nusselt number are found to increase. The viscosity parameter enhances the local skin friction and the local Nusselt number. But the converse characteristic is observed for the thermal conductivity parameter. The results could be used in microelectromechanical systems, fabrication, melting of polymers, polishing of artificial heart valves, etc.

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“…We bring in the following primitive variable formulations into Equations ‐ to make the problem into a suitable form

Y = x^{\frac{n - 1}{2}} {(1 - e^{- τ})}^{\frac{- 1}{2}} y, ξ = λ x^{1 - 2 n}, τ = x^{n - 1} t, u = x^{n} U, v = x^{\frac{n - 1}{2}} {(1 - e^{- τ})}^{\frac{1}{2}} V, θ = θ . u_{e} = x^{n} .

…”

Section: Solution Techniquesmentioning

confidence: 99%

Effects of variable thermophysical properties on mixed convection slip flow over a wedge

Roy

Saha

et al. 2019

Heat Trans. Asian Res.

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“…where is the dimensionless variable kinematic viscosity given by = Ce −λθ (13) where C = e λ/2 is a constant. Boundary conditions (7) become…”

Section: Mathematical Formulationsmentioning

confidence: 99%

“…Recently, with such important geometry, mixed convection flow of an optically dense viscous flow with radiation is discussed by Molla and Hossain [11] and Molla et al [12]. Recently, the effect of conduction-radiation on oscillating natural convection boundary layer flow of optically dense viscous incompressible fluids along a vertical plate has been studied by Roy and Hossain [13]. Aboeldahab and Gendy [14] studied the MHD-free convective flow of gas past a semi-infinite vertical plate with variable thermophysical properties for high temperature differences by taking into consideration radiation effects and solved the problem numerically using the shooting method.…”

Section: Introductionmentioning

confidence: 99%

Radiation effects on natural convection flow over an inclined flat plate with temperature-dependent viscosity

Siddiqa

Asghar

Hossain

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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The effect of radiation on laminar natural convection flow of a viscous incompressible fluid over a semi-infinite flat plate inclined at a small angle to the horizontal with strong temperature-dependent viscosity has been investigated. The Rosseland approximation is considered while modelling the problem. The non-similar equations are obtained for upstream, downstream, and entire regimes, which are then solved numerically. For constant viscosity, the series solution technique has been employed in order to obtain solutions that are valid near the leading edge as well as in the downstream regime. Later, solutions of the governing equations have been obtained using the finite difference method along with the Keller box technique, taking into consideration variable viscosity. Effects of physical parameters like conduction-radiation parameter R d , surface temperature parameter θ w , variable viscosity parameter λ, and Prandtl number Pr are shown on the local skin-friction coefficient C f and the local Nusselt number, Nu. Effects of the parameters on the streamlines are also shown around the point of separation that occurs along the negatively inclined surface.

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“…They studied the variation of the surface shear stress coefficient with the coefficients of the rates of heat transfer. The effect of conductionradiation has been studied by Roy and Hossain [22] for vertical flat plate with three different methods. The influence of fluctuating surface temperature and concentration on natural convection flow has also been investigated by Hossain et al [23] for vertical flat plate.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Over a Horizontal Plate With Streamwise Non-Uniform Surface Temperature Distribution

Hasan

Saha²,

2013

Journal of Heat Transfer

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Numerical investigation on mixed convection of a two-dimensional incompressible laminar flow over a horizontal flat plate with streamwise sinusoidal distribution of surface temperature has been performed for different values of Rayleigh number, Reynolds number and frequency of periodic temperature for constant Prandtl number and amplitude of periodic temperature. Finite element method adapted to rectangular nonuniform mesh elements by a nonlinear parametric solution algorithm basis numerical scheme has been employed. The investigating parameters are the Rayleigh number, the Reynolds number and frequency of periodic temperature. The effect of variation of individual investigating parameters on mixed convection flow characteristics has been studied to observe the hydrodynamic and thermal behavior for while keeping the other parameters constant. The fluid considered in this study is air with Prandtl number 0.72. The results are obtained for the Rayleigh number range of l(f to W*, Reynolds number ranging from 1 to 100 and the frequency of periodic temperature from 1 to 5. Isotherms, streamlines, average and local Nusselt numbers are presented to show the effect of the different values of aforementioned investigating parameters on fluid flow and heat transfer.

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The effect of conduction—radiation on the oscillating natural convection boundary layer flow of viscous incompressible fluid along a vertical plate

Cited by 10 publications

References 22 publications

Effects of variable thermophysical properties on mixed convection slip flow over a wedge

Effects of variable thermophysical properties on mixed convection slip flow over a wedge

Radiation effects on natural convection flow over an inclined flat plate with temperature-dependent viscosity

Mixed Convection Over a Horizontal Plate With Streamwise Non-Uniform Surface Temperature Distribution

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