Near-wall effects in micro scale Couette flow and heat transfer in the Maxwell-slip regimes

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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DTM-FDM hybrid approach to unsteady MHD Couette flow and heat transfer of dusty fluid with variable properties

Thermal Science and Engineering Progress ◽

10.1016/j.tsep.2017.04.003 ◽

2017 ◽

Vol 2 ◽

pp. 57-63 ◽

Cited By ~ 16

Author(s):

Sobhan Mosayebidorcheh ◽

O.D. Makinde ◽

D.D. Ganji ◽

M. Abedian Chermahini

Keyword(s):

Heat Transfer ◽

Couette Flow ◽

Hybrid Approach ◽

Variable Properties ◽

Dusty Fluid ◽

Flow And Heat Transfer ◽

Mhd Couette Flow

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Modeling of Flow Characteristic and Heat Transfer for Micro Couette Flow

10.1115/imece2001/htd-24146 ◽

2001 ◽

Author(s):

Hong Xue ◽

Ling Xie ◽

S. K. Chou

Keyword(s):

Heat Transfer ◽

Couette Flow ◽

Flow Characteristic ◽

Rarefied Gas ◽

Characteristic Length ◽

Velocity Slip ◽

Flow And Heat Transfer ◽

Wide Range ◽

Perturbation Velocity ◽

Rarefaction Effects

Abstract Gaseous flow encountered in micro/nano electromechanical systems experiences change in Kn number across a wide range of flow regime due to variation in characteristic length in the system and significant compressibility of the rarefied gas. In this study, we attempt to develop a general, physics-based model to predict the flow and heat transfer in the slip and transition regimes. Such an extension is constructed on the fact that Chapman-Enskog’s approximation of the Boltzmann equation can be revised using a function of Kn number as a perturbation. Velocity slip and temperature jump at the solid boundaries are modified accordingly. Rarefaction effects on dynamic viscosity and thermal conductivity are considered. As a first step to evaluate the model, it is applied to the simplest shear-driven flow, micro Couette flow. Compared with the results of DSMC, satisfactory agreement has been achieved in a wide range of Kn and Ma numbers.

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