Instability of mixed convection flow in a differentially heated channel under a transverse magnetic field with internal heating

The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and then solved analytically by the homotopy analysis method (HAM). The solution is found to be dependent on six governing parameters including the magnetic field parameterM, Hall parameterm, the buoyancy parameterξ, the radiation parameterR, the parameter of temperature distributiona, and Prandtl number Pr. A systematic study is carried out to illustrate the effects of these major parameters on the velocity and temperature distributions in the boundary layer, the skin-friction coefficients, and the local Nusselt number.

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Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Thermal Science ◽

10.2298/tsci20s1225i ◽

2020 ◽

Vol 24 (Suppl. 1) ◽

pp. 225-235

Author(s):

Asifa Ilyas ◽

Muhammad Ashraf

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Mixed Convection ◽

Current Density ◽

Magnetic Force ◽

Convection Flow ◽

Force Parameter ◽

Mixed Convection Flow ◽

Hydromagnetic Waves ◽

Periodic Components

The main aim of the present work is to highlight the significances of periodic mixed convection flow and heat transfer characteristics along the surface of magnetized cone by exerting magnetic field exact at the surface of the cone. The numerical simulations of coupled non-dimensional equations are computed in terms of velocity field, temperature and magnetic field concentration and then used to examine the periodic components of skin friction, ?w, heat transfer, qw, and current density, jw, for various governing parameters. A nice periodic behavior of heat transfer qw is concluded for each value of mixed convection parameter, ?, but maximum periodicity is sketched at ? = 50. It is also computed that the lower value of magnetic Prandtl number ? = 0.1 gets poor amplitude in current density but highest amplitude is sketched for higher ? = 0.5. The behavior of heat and fluid-flow in the pres?ence of aligned magnetic field is associated with the phase angle and amplitude of oscillation. It is also noted that due to the increase in magnetic force parameter, ?, there are wave like disturbances generate within the fluid layers. These disturbances are basically hydromagnetic waves which becomes more prominent as the strength of magnetic force parameter is increased.

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Magnetohydrodynamic free convection flow over a wedge in the presence of a transverse magnetic field

International Communications in Heat and Mass Transfer ◽

10.1016/0735-1933(93)90040-3 ◽

1993 ◽

Vol 20 (6) ◽

pp. 871-881 ◽

Cited By ~ 44

Author(s):

T. Watanabe ◽

I. Pop

Keyword(s):

Magnetic Field ◽

Free Convection ◽

Transverse Magnetic Field ◽

Transverse Magnetic ◽

Convection Flow ◽

Free Convection Flow

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Effects of Magnetic Field on an Unsteady Mixed Convection Flow of Nanofluids Containing Spherical and Cylindrical Nanoparticles

Journal of Heat Transfer ◽

10.1115/1.4032835 ◽

2016 ◽

Vol 138 (6) ◽

Cited By ~ 4

Author(s):

Kalidas Das ◽

Pinaki Ranjan Duari ◽

Prabir Kumar Kundu

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Mixed Convection ◽

Time Dependent ◽

Convection Flow ◽

Temperature Profiles ◽

Mixed Convection Flow ◽

Shooting Technique ◽

Similarity Transformations ◽

Unsteady Mixed Convection

The present article gives a ray of light on the effects of magnetic field on an unsteady mixed convection flow of nanofluids containing nanoparticles which are spherical and cylindrical in nature. The unsteadiness in the flow is mainly caused by time dependent stretching velocity and temperature of the sheet at the surface. The governing transportation equations are first transformed into ordinary differential equations by using similarity transformations and then solved by employing Runga–Kutta–Frelberg method with shooting technique. The influence of various parameters on velocity and temperature profiles as well as wall shear stress and the rate of mass transfer are discussed through graphs and tables. The results for regular fluid (water) from the study are in excellent agreement with the results reported in the literature.

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