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Effect of thermal non-equilibrium on transient hydromagnetic flow over a moving surface in a nanofluid saturated porous media

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Abstract

This work is made to study the effect of local thermal non-equilibrium (LTNE) on transient MHD laminar boundary layer flow of viscous, incompressible nanofluid over a vertical stretching plate embedded in a sparsely packed porous medium. The flow in the porous medium is governed by simple Darcy model. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. Three temperature model is used to represent the local thermal non-equilibrium among the particle, fluid, and solid-matrix phases. By applying similarity analysis, the governing partial differential equations are transformed into a set of time dependent nonlinear coupled ordinary differential equations and they are solved by Runge-Kutta Fehlberg Method along with shooting technique. Numerical results of the boundary layer flow characteristics for the fluid, particle and solid phases are obtained for various combinations of the physical parameters. It is found that the thermal non-equilibrium effects are strongest when the fluid/particle, fluid/solid Nield numbers and thermal capacity ratios are small. Moreover, the amount of heat transfer is maximum in nanoparticles than that of fluid and solid phases because of enhancement of thermal conductivity in nanofluids.

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Authors and Affiliations

  1. Department of Applied Mathematics, Bharathiar University, Coimbatore, 641 046, India

    M. Muthtamilselvan & D. Prakash

  2. Division of Mechanical and Energy Systems Engineering, College of Engineering, Korea Maritime University, Busan, 606-791, Korea

    Deog-Hee Doh

Authors
  1. M. Muthtamilselvan
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  2. D. Prakash
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  3. Deog-Hee Doh
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Correspondence to M. Muthtamilselvan.

Additional information

Recommended by Associate Editor Byeong Rog Shin

M. Muthtamilselvan received his Ph.D. in 2008 from the Department of Mathematics, Bharathiar University, India. He is currently an assistant professor at the Department of Applied Mathematics, Bharathiar University. His research interests are Computational Fluid Dynamics (CFD), convection in nanofluids, boundary layer flow and heat transfer analysis.

D. Prakash received his M.Sc. and M.Phil degrees from the Department of Mathematics, Bharathiar University, India in 2009 and 2011, respectively. He is awaiting to get Ph.D. in Applied Mathematics from Bharathiar University. He is currently working as Senior Research Fellow in the Department of Applied Mathematics, Bharathiar University, India. His research interests are flow and heat transfer in cavities and channel, boundary layer flow and heat transfer analysis of Newtonian and non-Newtonian fluids.

Deog Hee Doh received his B.S. and M.S. degrees in the Department of Marine Engineering from Korea Maritime University (KMU) in 1985 and 1988, respectively. He then received the Ph.D. from Tokyo University, Japan, in 1995. He is currently a professor in the Division of Mech. and Energy Systems Engineering, KMU. His main research areas are Flow Visualizations, and Marine and Offshore Machinery.

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Muthtamilselvan, M., Prakash, D. & Doh, DH. Effect of thermal non-equilibrium on transient hydromagnetic flow over a moving surface in a nanofluid saturated porous media. J Mech Sci Technol 28, 3709–3718 (2014). https://doi.org/10.1007/s12206-014-0832-9

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  • DOI: https://doi.org/10.1007/s12206-014-0832-9

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