scholarly journals Flow and Heat Transfer of Two Immiscible Fluids in the Presence of Uniform Inclined Magnetic Field

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Dragiša Nikodijević ◽  
Živojin Stamenković ◽  
Dragica Milenković ◽  
Bratislav Blagojević ◽  
Jelena Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Immiscible Fluids ◽  
Inclined Magnetic Field ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Mhd Couette Flow ◽  
Loading Parameter ◽  
Field Inclination

The magnetohydrodynamic (MHD) Couette flow of two 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. Both 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 both 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 matching conditions. The analytical results for various values of the Hartmann number, the angle of magnetic field inclination, loading parameter, and the ratio of fluid heights have been presented graphically to show their effect on the flow and heat transfer characteristics.

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

2014 ◽  
Vol 18 (3) ◽  
pp. 1019-1028 ◽  
Author(s):  
Dragisa Nikodijevic ◽  
Zivojin Stamenkovic ◽  
Milos Jovanovic ◽  
Milos Kocic ◽  
Jelena Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Conditions ◽  
Uniform Magnetic Field ◽  
Hartmann Number ◽  
Immiscible Fluids ◽  
Heat Transfer Characteristics ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer

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.

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 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.

scholarly journals Unsteady Two-Layered Fluid Flow and Heat Transfer of Conducting Fluids in a Channel Between Parallel Porous Plates Under Transverse Magnetic Field

2013 ◽  
Vol 18 (3) ◽  
pp. 699-726 ◽  
Author(s):  
T. Linga Raju ◽  
M. Nagavalli
Keyword(s):  
Heat Transfer ◽  
Transverse Magnetic ◽  
Immiscible Fluids ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Two Fluids ◽  
Flow And Heat Transfer ◽  
Electrical Conductivities ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

Abstract The unsteady magnetohydrodynamic flow of two immiscible fluids in a horizontal channel bounded by two parallel porous isothermal plates in the presence of an applied magnetic and electric field is investigated. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, one being stationary and the other oscillating, when both fluids are considered as electrically conducting. Also, both fluids are assumed to be incompressible with variable properties, viz. different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing equations are partial in nature, which are then reduced to the ordinary linear differential equations using two-term series. Closed form solutions for velocity and temperature distributions are obtained in both fluid regions of the channel. Profiles of these solutions are plotted to discuss the effect on the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, porous parameter, ratios of the viscosities, heights, electrical and thermal conductivities

scholarly journals Porous medium magnetohydrodynamic flow and heat transfer of two immiscible fluids

2016 ◽  
Vol 20 (suppl. 5) ◽  
pp. 1405-1417 ◽  
Author(s):  
Jelena Petrovic ◽  
Zivojin Stamenkovic ◽  
Milos Kocic ◽  
Milica Nikodijevic
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Hartmann Number ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Load Factor ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Flow Through

The magnetohydordynamic flow and heat transfer of two viscous incompressible fluids through porous medium has been investigated in the paper. Fluids flow through porous medium between two parallel fixed isothermal plates in the presence of an inclined magnetic and perpendicular electric field. Fluids are electrically conducting, while the channel plates are 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. Solutions with appropriate boundary conditions for velocity and temperature fields have been obtained. The analytical results for various values of the Hartmann number, load factor, viscosity and porosity parameter have been presented graphically to show their effect on the flow and heat transfer characteristics.

scholarly journals Heat transfer in micropolar fluid flow under the influence of magnetic field

2016 ◽  
Vol 20 (suppl. 5) ◽  
pp. 1391-1404
Author(s):  
Milos Kocic ◽  
Zivojin Stamenkovic ◽  
Jelena Petrovic ◽  
Jasmina Bogdanovic-Jovanovic ◽  
Milica Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Micropolar Fluid ◽  
Coupling Parameter ◽  
Temperature Fields ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Micropolar Fluid Flow ◽  
Different Temperatures

In this paper, the steady flow and heat transfer of an incompressible electrically conducting micropolar fluid through a parallel plate channel is investigated. The upper and lower plates have been kept at the two constant different temperatures and the plates are electrically insulated. Applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i.e. considered problem is in induction-less approximation. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and three closed-form solutions are obtained. The velocity, micro-rotation and temperature fields in function of Hartmann number, the coupling parameter and the spin-gradient viscosity parameter are graphically shown and discussed.

Unsteady MHD Couette Flow and Heat Transfer Between Parallel Porous Plates With Exponential Decaying Pressure Gradient

2005 ◽  
Author(s):  
Hazem A. Attia
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Pressure Gradient ◽  
Couette Flow ◽  
Fluid Motion ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Flow And Heat Transfer ◽  
Unsteady Couette Flow ◽  
Mhd Couette Flow

The unsteady Couette flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel non-conducting porous plates is studied with heat transfer. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the magnetic field and the uniform suction and injection on both the velocity and temperature distributions is examined.

Numerical study of unsteady MHD Couette flow and heat transfer of nanofluids in a rotating system with convective cooling

2016 ◽  
Vol 26 (5) ◽  
pp. 1567-1579 ◽  
Author(s):  
Ahmada Omar Ali ◽  
Oluwole Daniel Makinde ◽  
Yaw Nkansah-Gyekye
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Couette Flow ◽  
Numerical Study ◽  
Integration Scheme ◽  
Parallel Plates ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Mhd Couette Flow ◽  
Rotating Channel

Purpose – The purpose of this paper is to investigate numerically the unsteady MHD Couette flow and heat transfer of viscous, incompressible and electrically conducting nanofluids between two parallel plates in a rotating channel. Design/methodology/approach – The nanofluid is set in motion by the combined action of moving upper plate, Coriolis force and the constant pressure gradient. The channel rotates in unison about an axis normal to the plates. The nonlinear governing equations for velocity and heat transfer are obtained and solved numerically using semi-discretization, shooting and collocation (bvp4c) techniques together with Runge-Kutta Fehlberg integration scheme. Findings – Results show that both magnetic field and rotation rate demonstrate significant effect on velocity and heat transfer profiles in the system with Cu-water nanofluid demonstrating the highest velocity and heat transfer efficiency. These numerical results are in excellent agreements with the results obtained by other methods. Practical implications – This paper provides a very useful source of information for researchers on the subject of hydromagnetic nanofluid flow in rotating systems. Originality/value – Couette flow of nanofluid in the presence of applied magnetic field in a rotating channel is investigated.

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