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

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.

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.


2011 ◽  
Vol 677 ◽  
pp. 417-444 ◽  
Author(s):  
S. GHOSH ◽  
R. FRIEDRICH ◽  
M. PFITZNER ◽  
CHR. STEMMER ◽  
B. CUENOT ◽  
...  

The interaction between turbulence in a minimal supersonic channel and radiative heat transfer is studied using large-eddy simulation. The working fluid is pure water vapour with temperature-dependent specific heats and molecular transport coefficients. Its line spectra properties are represented with a statistical narrow-band correlated-k model. A grey gas model is also tested. The parallel no-slip channel walls are treated as black surfaces concerning thermal radiation and are kept at a constant temperature of 1000 K. Simulations have been performed for different optical thicknesses (based on the Planck mean absorption coefficient) and different Mach numbers. Results for the mean flow variables, Reynolds stresses and certain terms of their transport equations indicate that thermal radiation effects counteract compressibility (Mach number) effects. An analysis of the total energy balance reveals the importance of radiative heat transfer, compared to the turbulent and mean molecular heat transport.


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.


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