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

Author(s):  
Daniel Oluwole Makinde ◽  
Oswald Franks

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.

2018 ◽  
Vol 28 (10) ◽  
pp. 2423-2441 ◽  
Author(s):  
B. Mahanthesh ◽  
B.J. Gireesha ◽  
M. Archana ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi

Purpose The features of coated wire product are measured by the flow and heat transport occurring in the interior of dies. Therefore, an understanding of characteristics of polymers momentum, heat mass transfer and wall shear stress is of great interest. Enhancement of heat transfer rate is fundamental need of wire coating process. Therefore, this study aims to investigate the effect of suspended nanoparticles in heat and mass transport phenomena of third-grade liquid in post-treatment of wire coating process. Buongiorno model for nanofluid is adopted. Two cases of temperature dependent viscosity are considered. Design/methodology/approach The governing equations are modelled with the help of steady-state conservation equations of mass, momentum, energy and nanoparticle concentration. Some appropriate dimensionless variables are introduced. Numerical solutions for the nonlinear problem are developed through Runge–Kutta–Fehlberg technique. The outcome of sundry variables for dimensionless flow, thermal and nanoparticle volume fraction fields are scrutinised through graphical illustrations. Findings The study’s numerical results disclose that the force on the total wire surface and shear stress at the surface in case of Reynolds Model dominate Vogel’s Model case. Impact of nanoparticles is constructive for force on the total wire surface and shear stress at the surface. The velocity of the coating material can be enhanced by the non-Newtonian property. Practical implications This study may provide useful information to improve the wire coating technology. Originality/value Effect of nanoparticles in wire coating analysis by using Brownian motion and thermophoresis slip mechanisms is investigated for the first time. Two different models for variable viscosity are used.


Author(s):  
Ahmada Omar Ali ◽  
Oluwole Daniel Makinde ◽  
Yaw Nkansah-Gyekye

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.


AIP Advances ◽  
2018 ◽  
Vol 8 (10) ◽  
pp. 105209 ◽  
Author(s):  
Zakir Hussain ◽  
Sultan Hussain ◽  
Tiantian Kong ◽  
Zhou Liu

2013 ◽  
Vol 68 (8-9) ◽  
pp. 554-566 ◽  
Author(s):  
Paresh Vyas ◽  
Nupur Srivastava

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.


Author(s):  
Hazem A. Attia

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.


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