Radiation Effects on Dissipative Magnetohydrodynamic Couette Flow in a Composite Channel

2013 ◽  
Vol 68 (8-9) ◽  
pp. 554-566 ◽  
Author(s):  
Paresh Vyas ◽  
Nupur Srivastava
Keyword(s):  
Couette Flow ◽  
Radiation Effects ◽  
Saturated Porous Medium ◽  
Clear Fluid ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Porous Interface ◽  
Mhd Couette Flow ◽  
Energy Equations ◽  
Plate Channel

This paper examines radiative thermal regime in dissipative magnetohydrodynamic (MHD) Couette flow in a composite parallel plate channel partially filled with a radiating fluid saturated porous medium and partially filled with a radiating clear fluid. The fluid is considered to be viscous, incompressible, optically dense, electrically conducting, and Newtonian. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Suitable matching conditions are used to match the momentum and thermal regimes in clear fluid and porous regions at the clear fluid-porous interface. The momentum and energy equations have closed form solutions. The effects of various parameters on the system are analyzed through graphs and tables.

scholarly journals Radiative MHD compressible Couette flow in a parallel channel with a naturally permeable wall

2014 ◽  
Vol 18 (suppl.2) ◽  
pp. 573-585 ◽  
Author(s):  
Paresh Vyas ◽  
Nupur Srivastava
Keyword(s):  
Couette Flow ◽  
Radiation Effects ◽  
Energy Equation ◽  
Radiative Heat ◽  
Clear Fluid ◽  
Closed Form Solutions ◽  
Porous Interface ◽  
Mhd Couette Flow ◽  
Energy Equations ◽  
Plate Channel

The paper pertains to investigations of thermal radiation effects on dissipative MHD Couette flow of a viscous compressible Newtonian heat- generating fluid in a parallel plate channel whose one wall is stationary and naturally permeable. Saffman? slip condition is used at the clear fluid-porous interface. The fluid is considered to be optically thick and the radiative heat flux in the energy equation is assumed to follow Rossel and approximation. The momentum and energy equations have closed form solutions. The effects of various parameters on thermal regime are analyzed through graphs and tables.

scholarly journals Entropy Analysis for MHD Generalised Couette Flow in a Composite Duct

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Paresh Vyas ◽  
Ashutosh Ranjan
Keyword(s):  
Entropy Generation ◽  
Finite Thickness ◽  
Bejan Number ◽  
Entropy Analysis ◽  
Clear Fluid ◽  
Electrically Conducting ◽  
Different Temperatures ◽  
Saturated Porous Layer ◽  
Porous Interface ◽  
Porous Strata

This paper presents entropy analysis of electrically conducting Newtonian fluid flow inside a horizontal composite duct. The upper impermeable wall of the duct moves with a uniform velocity while the lower wall is porous strata of finite thickness with impermeable bottom. The upper wall and the impermeable bottom are at constant temperature but at different temperatures. The duct is divided into two regions: Region I of clear fluid and Region II of fluid saturated porous layer. Momentum and thermal regimes for clear and porous regions are matched at clear fluid-porous interface by employing suitable matching conditions. The governing equations are solved analytically. Analytical solutions obtained for velocity and temperature are utilized to compute entropy generation. The effects of pertinent parameter on temperature distribution, entropy generation, and Bejan number are portrayed graphically and discussed.

scholarly journals CONTROL OF MHD MICROPOLAR FLUID FLOW

2020 ◽  
Vol 18 (3) ◽  
pp. 163
Author(s):  
Miloš Kocić ◽  
Živojin Stamenković ◽  
Jelena Petrović ◽  
Milica Nikodijević
Keyword(s):  
Heat Transfer ◽  
Micropolar Fluid ◽  
Parallel Plate ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Micropolar Fluid Flow ◽  
Different Temperatures ◽  
Number Flow ◽  
Plate Channel

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 plate have been kept at the two constant different temperatures and the plates are electrically insulated. The applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i.e. the 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 closed-form solutions are obtained. The influences of each of the governing parameters on velocity, heat transfer on the plates (Nusselt number), flow rate and skin friction are discussed with the aid of graphs.

scholarly journals Instability of MHD couette flow of an electrically conducting fluid

AIP Advances ◽  
2018 ◽  
Vol 8 (10) ◽  
pp. 105209 ◽  
Author(s):  
Zakir Hussain ◽  
Sultan Hussain ◽  
Tiantian Kong ◽  
Zhou Liu
Keyword(s):  
Couette Flow ◽  
Conducting Fluid ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Mhd Couette Flow

Thermal decomposition of unsteady non-Newtonian MHD Couette flow with variable properties

2015 ◽  
Vol 25 (2) ◽  
pp. 252-264 ◽  
Author(s):  
Daniel Oluwole Makinde ◽  
Oswald Franks
Keyword(s):  
Thermal Stability ◽  
Couette Flow ◽  
Variable Viscosity ◽  
Physical Phenomenon ◽  
Temperature Fields ◽  
Third Grade ◽  
Content Type ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Mhd Couette Flow

Purpose – The purpose of this paper is to investigate the unsteady magnetohydrodynamic (MHD) Couette flow of an electrically conducting incompressible non-Newtonian third grade reactive fluid with temperature-dependent variable viscosity and thermal conductivity properties under isothermal surface conditions. Design/methodology/approach – The coupled non-linear partial differential equations for momentum and energy balance governing the transient problem are obtained and tackled numerically using a semi-discretization finite difference technique. Findings – The effects of various embedded thermophysical parameters on the velocity and temperature fields including skin friction, Nusselt number and thermal stability conditions are presented graphically and discussed quantitatively. Practical implications – The approach is applicable to modelling the complex physical phenomenon in MHD lubrications that occurs in numerous areas of engineering and industrial processes. Originality/value – This paper may be of industrial and engineering interest especially in understanding the combined effects of unsteadiness, variable thermophysical properties and magnetic field on the thermal stability condition for a reactive non-Newtonian third grade fluid under Couette flow scenario.

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.

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.

Sign in / Sign up

Export Citation Format

Share Document