Analysis of Slip Induced One Dimensional MHD Flow between Parallel Plates

Article Preview

Abstract:

Fluid drag is an important phenomenon at solid-liquid interface. In nano/microfluidics, it has significant importance due to small surface to volume ratio. Slip at the interface is an important phenomenon which reduces the friction at the interface. In this study we have proposed a more general theoretical model for the slip induced magneto-hydrodynamic (MHD) flow across parallel plates. We have analyzed the effect of slip parameter on the velocity and the flow rate across parallel plates. The effect of magnetic field on velocity and the flow rate has also been discussed. Our results show satisfactory agreement with the previously conducted experimental and analytical studies. In this paper, we have briefly discussed and compared the new model with the existing experimental and theoretical studies.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

159-163

Citation:

Online since:

August 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] S. Qian, H. H. Bau, Magneto-Hydrodynamics Based Micro-fluidics, Mech Res Commun. 2009, 10–21.

Google Scholar

[2] M. Turkyilmazoglu, Heat and mass transfer of MHD second order slip flow, Computers & Fluids, 2013, 426–434.

DOI: 10.1016/j.compfluid.2012.11.011

Google Scholar

[3] W. N. Mutuku-Njane1, O. D. Makinde, Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate, The Scientific World Journal, 2013, 725643- 8.

DOI: 10.1155/2013/725643

Google Scholar

[4] M. J. Martin, C. Cai, I. D. Boyd, Slip Flow in a Magneto-hydrodynamic Boundary Layer, 43rd AIAA Plasmadynamics and Lasers Conference 25 - 28 June, 2012, New Orleans, Louisiana.

DOI: 10.2514/6.2012-3295

Google Scholar

[5] M. Turkyilmazoglu, Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids, Chemical Engineering Science, 2012, 182–187.

DOI: 10.1016/j.ces.2012.08.029

Google Scholar

[6] T. Fang , J. Zhang, S. Yao, Slip MHD viscous flow over a stretching sheet – An exact solution, Commun Nonlinear Sci Numer Simulat, 2009, 3731–3737.

DOI: 10.1016/j.cnsns.2009.02.012

Google Scholar

[7] L Crane, Flow past a stretching plate, Z Angew Math Phys, 1970, 645–651.

Google Scholar

[8] C. Y. Wang, Flow due to a stretching boundary with partial slips—an exact solution of the Navier–Stokes equations, Chem Eng Sci, 2002, 3745–3747.

DOI: 10.1016/s0009-2509(02)00267-1

Google Scholar

[9] W. Ibrahim, B. Shankar, MHD boundary layer flow and heat transfer of a nano-fluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions, Nonlinear Analysis: Real World Applications, 2011, 1338–1346.

DOI: 10.1016/j.compfluid.2013.01.014

Google Scholar

[10] K. Bhattacharyya, S. Mukhopadhyay, MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate, Chin. Phys. Lett, 2011, 024701.

DOI: 10.1088/0256-307x/28/2/024701

Google Scholar

[11] A.V. Lemoff, A.P. Lee, An AC magneto-hydrodynamic micro-pump, Sensors and Actuators B, 2000, 178–185.

Google Scholar

[12] J. Jang, S.S. Lee, Theoretical and experimental study of MHD (magneto-hydrodynamic) micropump, Sensors and Actuators A, 2000, 84–89.

DOI: 10.1016/s0924-4247(99)00302-7

Google Scholar

[13] M. Rivero, S. Cuevas, Analysis of the slip condition in magneto-hydrodynamic (MHD) micropumps, Sensors and Actuators B, 2012, 884– 892.

DOI: 10.1016/j.snb.2012.02.050

Google Scholar