Network Simulation solution of free convective flow from a vertical cone with combined effect of non- uniform surface heat flux and heat generation or absorption

Magnetohydrodynamic (MHD) twodimensional steady convective flow and heat transfer of micropolar fluids flow along an inclined flat plate with variable electric conductivity and uniform surface heat flux has been analyzed numerically in the presence of heat generation. With appropriate transformations the boundary layer partial differential equations are transformed into nonlinear ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the velocity flow, microrotation and heat transfer characteristics are assessed using Nachtsheim- Swigert shooting iteration technique along with the sixth order Runge-Kutta-Butcher initial value solver. Numerical results are presented graphically in the form of velocity, microrotation, and temperature profiles within the boundary layer for different parameters entering into the analysis. The effects of the pertinent parameters on the local skin-friction coefficient (viscous drag), plate couple stress and the rate of heat transfer (Nusselt number) are also discussed and displayed graphically. Keywords: Convective flow; Micropolar fluid; Heat transfer; Electric conductivity; Inclined plate; Locally self-similar solution DOI: http://dx.doi.org/10.3329/diujst.v6i1.9336 DIUJST 2011; 6(1): 69-79

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LAMINAR AND TURBULENT OPPOSING MIXED-CONVECTIVE FLOW OVER A VERTICAL PLATE WITH A UNIFORM SURFACE HEAT FLUX

Computational Thermal Sciences An International Journal ◽

10.1615/computthermalscien.2015012288 ◽

2015 ◽

Vol 7 (2) ◽

pp. 157-165

Author(s):

Patrick H Oosthuizen

Keyword(s):

Heat Flux ◽

Surface Heat Flux ◽

Convective Flow ◽

Vertical Plate ◽

Surface Heat ◽

Mixed Convective Flow

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Thermo-micropolar fluid flow along a vertical permeable plate with uniform surface heat flux in the presence of heat generation

Thermal Science ◽

10.2298/tsci0901023r ◽

2009 ◽

Vol 13 (1) ◽

pp. 23-36 ◽

Cited By ~ 14

Author(s):

Mohammad Rahman ◽

Ibrahim Eltayeb ◽

Mohammad Rahman

Keyword(s):

Heat Transfer ◽

Heat Flux ◽

Friction Coefficient ◽

Skin Friction ◽

Heat Generation ◽

Surface Heat Flux ◽

Micropolar Fluid ◽

Skin Friction Coefficient ◽

Surface Heat ◽

Viscous Drag

A two-dimensional steady convective flow of thermo-micropolar fluid past a vertical permeable flat plate in the presence of heat generation with uniform surface heat flux has been analyzed numerically. The local similarity solutions for the flow, microrotation (angular velocity) and heat transfer characteristics are illustrated graphically for various material parameters entering into the problem. The effects of the pertinent parameters on the local skin friction coefficient, plate couple stress, and the rate of heat transfer are also calculated and displayed graphically. The results show that skin friction coefficient (viscous drag) and the rate of heat transfer (Nusselt number) in micropolar fluid are less compared to that of the Newtonian fluid.

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