Flow and heat transfer of three immiscible fluids in the presence of uniform magnetic field

The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that desc...

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Bibliographic Details
Published in:Thermal science 2014-01, Vol.18 (3), p.1019-1028
Main Authors: Nikodijevic, Dragisa, Stamenkovic, Zivojin, Jovanovic, Milos, Kocic, Milos, Nikodijevic, Jelena
Format: Article
Language:English
Subjects:
Boundary conditions
Channels
Differential equations
Fluid dynamics
Fluid flow
Fluids
Hartmann number
Heat transfer
Magnetic fields
Magnetism
Magnetohydrodynamic flow
Magnetohydrodynamics
Mathematical analysis
Miscibility
Ordinary differential equations
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Summary:The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have been matched at the interface using suitable boundary conditions. The analytical results for various values of the Hartmann number, the ratio of fluid heights and thermal conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics. [Projekat Ministarstva nauke Republike Srbije, br. TR 35016]
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI1403019N