scholarly journals Thermomechanical Fractional Model of Two Immiscible TEMHD

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
F. Hamza ◽  
A. M. Abd El-Latief ◽  
W. Khatan
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Fourier Series Expansion ◽  
Second Grade ◽  
Stress Distributions ◽  
Flow And Heat Transfer ◽  
The Laplace Transform ◽  
Second Grade Fluids

We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parametersαiand mechanical fractional parametersβi,i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values ofαiandβi. The graphs describe the fractional thermomechanical parameters effect on the case of two immiscible fluids and the case of a single fluid.

MHD FLOW AND HEAT TRANSFER OF TWO IMMISCIBLE FLUIDS BETWEEN MOVING PLATES

2010 ◽  
Vol 34 (3-4) ◽  
pp. 351-372 ◽  
Author(s):  
Stamenković M. Živojin ◽  
Dragiša D. Nikodijević ◽  
Bratislav D. Blagojević ◽  
Slobodan R. Savić
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Hartmann Number ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Load Factor ◽  
Load Parameter ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Field Inclination

The magnetohydrodynamic (MHD) flow of two immiscible and electrically conducting fluids between isothermal, insulated moving plates in the presence of an applied electric and inclined magnetic field has been investigated in the paper. The partial differential equations governing the flow and heat transfer are solved analytically with appropriate boundary conditions for each fluid and these solutions have been matched at the interface. The numerical results for various values of the Hartmann number, the angle of magnetic field inclination, load parameter and the ratio of electrical and thermal conductivities have been presented graphically. It was found that decrease of magnetic field inclination angle flattens out the velocity and temperature profiles. With the increase of the Hartmann number velocity gradients near the plate’s increases, temperature in the middle of the channel decreases and near the plate’s increases. Induced magnetic field is evidently suppressed with an increase of the Hartman number. The effect of changes of the load factor is to aid or oppose the flow as compared to the short-circuited case.

scholarly journals Flow and heat transfer of three immiscible fluids in the presence of electric and inclined magnetic field

2018 ◽  
Vol 22 (Suppl. 5) ◽  
pp. 1575-1589
Author(s):  
Zivojin Stamenkovic ◽  
Milos Kocic ◽  
Jelena Petrovic ◽  
Milica Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Inclined Magnetic Field ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrical Conductivities ◽  
Field Inclination

The MHD flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied electric and inclined magnetic field has been investigated in the paper. 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 ODE and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary and interface conditions for each fluid have been determined. The analytical results for various values of the Hartmann number, magnetic field inclination angle, ratio of fluid viscosities, and electrical conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics.

scholarly journals Mhd flow and heat transfer of two immiscible fluids with induced magnetic field effects

2012 ◽  
Vol 16 (suppl. 2) ◽  
pp. 323-336 ◽  
Author(s):  
Zivojin Stamenkovic ◽  
Dragisa Nikodijevic ◽  
Milos Kocic ◽  
Jelena Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Differential Equations ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Loading Parameter

The paper investigates the magnetohydrodynamic flow of two immiscible, electrically conducting fluids between isothermal and insulated moving plates in the presence of an applied electric and inclined magnetic field with the effects of induced magnetic field. Partial differential equations governing the flow and heat transfer and magnetic field conservation are transformed to ordinary differential equations and solved exactly in both fluid regions, under physically appropriate boundary and interface conditions. Closed-form expressions are obtained for the non-dimensional velocity, non-dimensional induced magnetic field and nondimensional temperature. The analytical results for various values of the Hartmann number, the angle of magnetic field inclination, loading parameter and the ratio of plates? velocities are presented graphically to show their effect on the flow and heat transfer characteristics.

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