scholarly journals Exact solution of unsteady MHD free convective flow with constant heat flux: revisited

2021 ◽  
Vol 10 (2) ◽  
pp. 135
Author(s):  
Basant K. Jha ◽  
Luqman A. Azeez ◽  
Michael O Oni
Keyword(s):  
Convective Flow ◽  
Fluid Velocity ◽  
Computation Time ◽  
Constant Heat Flux ◽  
Numerical Comparison ◽  
Governing Equations ◽  
Free Convective Flow ◽  
Constant Heat ◽  
Riemann Sum ◽  
Suggested Technique

A solution of unstable MHD free convective flow of an incompressible, viscous and electrically steering fluid created by spontaneous motion of vertical plate subjected to constant heat fluctuation offered by Sacheti<em> et al.</em> has been revisited. The governing equations are deciphered with the aid of Laplace transform procedure, while the inversion is gotten through the Riemann sum approximation approach. Fluid velocity are varied with sundry parameters such as, Prandtl number, Grashof number and Hartmann number have been extensively explicated with the help of graphs. Numerical comparison is carried out and equated with the benchmark values reported in literature and an outstanding agreement is established. This article targeted at amending some discrepancies in the skin-friction offered by Sacheti<em> et al</em>. The benefit of the suggested technique could be a reduction of computation time.

Magnetohydrodynamic Free Convective Flow of Nanofluids Past an Oscillating Porous Flat Plate in A Rotating System with Thermal Radiation and Hall Effects

2015 ◽  
Vol 32 (2) ◽  
pp. 197-210 ◽  
Author(s):  
S. Das ◽  
R.N. Jana ◽  
O.D. Makinde
Keyword(s):  
Thermal Radiation ◽  
Flat Plate ◽  
Convective Flow ◽  
Fluid Velocity ◽  
Governing Equations ◽  
Rotating System ◽  
Free Convective Flow ◽  
Hall Effects ◽  
Porous Flat Plate ◽  
Perturbation Approximation

ABSTRACTThe unsteady magnetohydrodynamic free convective flow due to an oscillating porous flat plate in a rotating frame of reference are studied when thermal radiation and Hall currents are taken into consideration. The entire system rotates with a uniform angular velocity about an axis normal to the plate. A uniform magnetic field is applied along the normal to the plate directed into the fluid region. Copper, alumina and titania water nanofluids are considered. The governing equations are solved analytically by employing the small perturbation approximation. The numerical results for fluid velocity and temperature are presented graphically for the pertinent parameters and discussed in details.

Free convective flow on a vertical plate with a constant heat flux in the presence of one or more steps

1995 ◽  
Vol 67 (3-4) ◽  
pp. 848-853 ◽  
Author(s):  
V. S. Burak ◽  
S. V. Volkov ◽  
O. G. Martynenko ◽  
P. P. Khramtsov ◽  
I. A. Shikh
Keyword(s):  
Heat Flux ◽  
Convective Flow ◽  
Vertical Plate ◽  
Constant Heat Flux ◽  
Free Convective Flow ◽  
Constant Heat

scholarly journals Effects of Hall Currents and Radiation on MHD Free Convective Flow Past a Oscillating Vertical Plate with Oscillatory Plate Temperature in a Porous Medium

2012 ◽  
Vol 3 ◽  
pp. 5-27
Author(s):  
Bhaskar Chandra Sarkar ◽  
Sanatan Das ◽  
Rabidra Nath Jana
Keyword(s):  
Porous Medium ◽  
Shear Stress ◽  
Convective Flow ◽  
Vertical Plate ◽  
Fluid Velocity ◽  
Governing Equations ◽  
Free Convective Flow ◽  
Primary Flow ◽  
Plate Temperature ◽  
Flow Past

Combined effects of Hall currents and radiation on an unsteady MHD free convective flow past a vertical flat plate with oscillatory plate temperature in a porous medium have been studied. The governing equations are solved analytically in closed form. The results obtained are presented graphically. It is found that the Hall currents accelerate the fluid velocity components whereas the radiation has a tendency to retard the fluid velocity components. Porosity of the medium has a tendency to enhance the fluid velocity components. Hall currents reduce the amplitude of the shear stress at the plate due to the unsteady primary flow whereas they increase the amplitude of the shear stress at the plate due to the unsteady secondary flow. Further, the rate of heat transfer at the plate due to unsteady flow increases with an increase in either radiation parameter or Prandtl number or frequency parameter.

Effects of Viscous Dissipation and Radiation on MHD Natural Convection in Oblique Porous Cavity with Constant Heat Flux

2017 ◽  
Vol 9 (2) ◽  
pp. 463-484 ◽  
Author(s):  
Ammar I. Alsabery ◽  
Habibis Saleh ◽  
Ishak Hashim
Keyword(s):  
Heat Flux ◽  
Natural Convection ◽  
Viscous Dissipation ◽  
Inclination Angle ◽  
Hartmann Number ◽  
Constant Heat Flux ◽  
Governing Equations ◽  
Constant Heat ◽  
Left Wall ◽  
Porous Cavity

AbstractEffects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperatureTcand the left inclined wall has a constant heat fluxqwith lengthS, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0° ≤ω≤π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (–π/3≤ϕ≤π/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decrease with an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

MHD Free Convective Flow Past a Vertical Porous Plate in a Porous Medium in the Presence of Soret and Dofour Effects

2018 ◽  
Vol 6 (8) ◽  
pp. 429
Author(s):  
Y. Hari Krishna ◽  
G Kamala ◽  
M.V. Ramana Murthy ◽  
D Bhagyya
Keyword(s):  
Convective Flow ◽  
Porous Plate ◽  
Order Method ◽  
Governing Equations ◽  
Free Convective Flow ◽  
Shooting Technique ◽  
Vertical Porous Plate ◽  
Flow Past ◽  
Fourth Order Method ◽  
Transfer Flow

A steady MHD free convective heat and mass transfer flow past a semi-infinite vertical porous plate in the presence of Soret and Dofour effects has been studied in this paper. The governing equations are solved numerically by Runge – Kutta fourth order method along with shooting technique. The effect of various governing parameters for velocity, temperature, concentration; skin-friction, Nusselt number and Sherwood number are also obtained. The effects of various parameters have been shown numerically and discussed graphically.

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