Linear stability of buoyant convective flow in a vertical channel with internal heat sources and a transverse magnetic field

The stability of steady convective motion of a viscous incompressible fluid in a transverse magnetic field is investigated using the method of small perturbations. The motion is caused by internal heat sources uniformly distributed within the vertical layer of the fluid. The stability analysis shows that the critical Grasshof number increases with the growth of the magnetic field. The role of the Prandtl and Hartmann numbers on the stability characteristics are discussed. For high Prandtl numbers, instability occurs in the form of thermal running waves.

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The effect of radiation on free convective flow and mass transfer past a vertical isothermal cone surface with chemical reaction in the presence of a transverse magnetic field

Canadian Journal of Physics ◽

10.1139/p04-009 ◽

2004 ◽

Vol 82 (6) ◽

pp. 447-458 ◽

Cited By ~ 19

Author(s):

A A Afify

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Boundary Conditions ◽

Chemical Reaction ◽

Transverse Magnetic Field ◽

Convective Flow ◽

Transverse Magnetic ◽

Skin Friction Coefficient ◽

Free Convective Flow ◽

Cone Surface

The effects of radiation and chemical reactions, in the presence of a transverse magnetic field, on free convective flow and mass transfer of an optically dense viscous, incompressible, and electrically conducting fluid past a vertical isothermal cone surface are investigated. The nonlinear boundary-layer equations with the boundary conditions are transferred by a similarity transformation into a system of nonlinear ordinary differential equations with the appropriate boundary conditions. Furthermore, the similarity equations are solved numerically by using a fourth-order RungeKutta scheme with the shooting method. Numerical results for the skin-friction coefficient, the local Nusselt number, the local Sherwood number are given; as well, the velocity, temperature, and concentration profiles are presented for a Prandtl number of 0.7, the chemical-reaction parameter, the order of the reaction, the radiation parameter, the Schmidt number, the magnetic parameter, and the surface temperature parameter. PACS No.: 47.70.Fw

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Linear stability of natural convection in a multilayer system of fluid and porous layers with internal heat sources

Acta Mechanica ◽

10.1007/s00707-012-0793-y ◽

2013 ◽

Vol 224 (5) ◽

pp. 1103-1114 ◽

Cited By ~ 4

Author(s):

Saman Shalbaf ◽

Aminreza Noghrehabadi ◽

Mohammad Reza Assari ◽

Alireza Daneh Dezfuli

Keyword(s):

Natural Convection ◽

Linear Stability ◽

Internal Heat ◽

Multilayer System ◽

Heat Sources ◽

Porous Layers ◽

Internal Heat Sources

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Natural Convection of a Heat-Generating Fluid Within Closed Vertical Cylinders and Spheres

Journal of Heat Transfer ◽

10.1115/1.3450469 ◽

1976 ◽

Vol 98 (1) ◽

pp. 55-61 ◽

Cited By ~ 30

Author(s):

R. J. Kee ◽

C. S. Landram ◽

J. C. Miles

Keyword(s):

Nusselt Number ◽

Natural Convection ◽

Convective Flow ◽

Internal Heat ◽

Spherical Geometry ◽

Heat Sources ◽

Internal Heat Sources ◽

Cylinders And Spheres ◽

Vertical Cylinders ◽

Generalized Correlation

Steady natural convective flow fields were numerically and experimentally characterized for 0.7 Prandtl number fluids having constant, uniformly distributed, internal heat sources. The bounding isothermal walls containing the fluid were considered to be either a sphere or a cylinder of finite height. An instrumented cylinder containing radioactive tritium gas was used to demonstrate experimental and analytical agreement for local temperatures over a range of Grashof numbers. For the spherical geometry, a generalized correlation was obtained for the surface-averaged Nusselt number as a function of a modified Grashof number.

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