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Effect of suction/injection on free convection along a vertical plate in a nanofluid saturated non-Darcy porous medium with internal heat generation

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Abstract

The effect of internal heat generation on free convection along a vertical plate embedded in a nanofluid saturated non-Darcy porous medium in the presence of suction/injection is analyzed. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms by non-dimensional variables. The resulting equations are solved numerically by an accurate, implicit, iterative finite-difference methodology and the obtained results are compared favorably with previously published work. A parametric study is performed to illustrate influence of the temperature exponent, non-Darcy, suction/injection, Brownian motion and thermophoresis parameters on the profiles of the velocity components, temperature and nanoparticle volume fraction. The numerical data for the heat and nanoparticle mass transfer rates have been tabulated for various parametric conditions.

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Authors and Affiliations

  1. Manufacturing Engineering Department, Public Authority for Applied Education and Training, Shuweikh, 70654, Kuwait

    A. J. Chamkha

  2. Department of Mathematics, Aswan University, Faculty of Science, 81528, Egypt

    A. M. Rashad

  3. Department of Mathematics, National Institute of Technology, Warangal, 506004, India

    Ch. Ram Reddy

  4. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India

    P. V. S. N. Murthy

Authors
  1. A. J. Chamkha
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  2. A. M. Rashad
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  3. Ch. Ram Reddy
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  4. P. V. S. N. Murthy
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Correspondence to A. M. Rashad.

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Chamkha, A.J., Rashad, A.M., Reddy, C.R. et al. Effect of suction/injection on free convection along a vertical plate in a nanofluid saturated non-Darcy porous medium with internal heat generation. Indian J Pure Appl Math 45, 321–342 (2014). https://doi.org/10.1007/s13226-014-0066-7

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  • DOI: https://doi.org/10.1007/s13226-014-0066-7

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