Magnetohydrodynamic Poiseuille-Couette Flow and Heat Transfer in an Inclined Channel

2010 ◽  
Vol 26 (4) ◽  
pp. 525-532 ◽  
Author(s):  
J. C. Umavathi ◽  
I-C. Liu ◽  
J. Prathap Kumar
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Energy Equation ◽  
Hartmann Number ◽  
Marked Change ◽  
Immiscible Fluids ◽  
Parallel Plates ◽  
Ohmic Dissipation ◽  
Electrically Conducting ◽  
Flow And Heat Transfer

ABSTRACTAn analysis of the Poiseuille-Couette flow of two immiscible fluids between inclined parallel plates is investigated. One of the fluids is assumed to be electrically conducting while the other fluid and channel walls are assumed to be electrically insulating. The viscous and Ohmic dissipation terms are taken into account in the energy equation. The coupled nonlinear equations are solved both analytically valid for small values of the product of Prandtl number and Eckert number (= ε) and numerically valid for all ε. Solutions for large ε reveal a marked change on the flow and rate of heat transfer. The effects of various parameters such as Hartmann number, Grashof number, angle of inclination, ratios of viscosities, widths and thermal conductivities are presented and discussed in detail.

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 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.

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.

scholarly journals Numerical Study of MHD Flow and Heat Transfer Through Porous Medium Between Two Parallel Plates With Hall and Ion Slip Effects

2020 ◽  
Vol 7 ◽  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Numerical Study ◽  
Mhd Flow ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Slip Effects ◽  
Ion Slip ◽  
Temperature And Pressure

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.

scholarly journals MHD Generalized Couette Flow and Heat Transfer on Bingham Fluid Through Porous Parallel Plates

2019 ◽  
Vol 6 (4) ◽  
pp. 483-490 ◽  
Author(s):  
Md Tusher Mollah ◽  
Muhammad Minarul Islam ◽  
Sheela Khatun ◽  
Md Mahmud Alam
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Bingham Fluid ◽  
Parallel Plates ◽  
Flow And Heat Transfer

scholarly journals Investigation of Rotating MHD Viscous Flow and Heat Transfer between Stretching and Porous Surfaces Using Analytical Method

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
M. Sheikholeslami ◽  
H. R. Ashorynejad ◽  
D. D. Ganji ◽  
A. Kolahdooz
Keyword(s):  
Heat Transfer ◽  
Homotopy Perturbation Method ◽  
Parallel Plates ◽  
Rotating System ◽  
Electrically Conducting ◽  
Homotopy Perturbation ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Solid Plate ◽  
Acceptable Agreement

Hydromagnetic flow between two horizontal plates in a rotating system, where the lower plate is a stretching sheet and the upper is a porous solid plate, is analyzed. Heat transfer in an electrically conducting fluid bonded by two parallel plates is studied in the presence of viscous dissipation. The equations of conservation of mass and momentum and energy are reduced to a nonlinear ordinary differential equations system. Homotopy perturbation method is used to get complete analytic solution for velocity and temperature profiles. Results show an acceptable agreement between this method results and numerical solution. Also the effects of different parameters are discussed through graphs.

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.

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