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Numerical analysis of entropy generation in nanofluid flow over a transparent plate in porous medium in presence of solar radiation, viscous dissipation and variable magnetic field

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Abstract

The entropy generation of magneto-hydrodynamic mixed convection flow of nanofluid over a nonlinear stretching inclined transparent plate embedded in a porous medium due to solar radiation is investigated numerically. The nanofluid is made of Cu nanoparticles with water as the base fluid. The two-dimensional governing equations, in presence of the effects of viscous dissipation, variable magnetic field and solar radiation are transformed by similarity method to two coupled nonlinear ODEs and then solved using the numerical implicit Keller-Box method. The effects of various parameters such as nanoparticle volume fraction, magnetic parameter, porosity, effective extinction coefficient of porous medium, diameter of porous medium solid particles and Eckert, Brinkman and Hartman numbers is investigated on velocity, temperature and entropy generation number profiles. The results reveal that near to the plate surface the increase of nanoparticle volume fraction, porosity and porous medium geometric parameter cause the entropy generation number to increase, but far enough from the plate surface the increase of nanoparticle volume fraction, porosity and porous medium geometric parameter cause the entropy generation number to decrease. Also the entropy generation number increases with the increase of Brinkman number and Hartman number, and this increase is dominant near the plate surface. Closer to the plate surface the reduction of Eckert number causes the increase of entropy generation number, but the entropy generation number increases with the increase of Reynolds number.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amirkabir University of Technology, 424 Hafez Avenue, P.O. Box 15875-4413, Tehran, Iran

    Mohammad Dehsara & Mohammad Reza Heirani Nobari

  2. Department of Mechanical Engineering, Salmas Branch, Islamic Azad University, Salmas, Iran

    Nemat Dalir

Authors
  1. Mohammad Dehsara
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  2. Nemat Dalir
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  3. Mohammad Reza Heirani Nobari
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Correspondence to Nemat Dalir.

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Recommended by Associate Editor Seungho Park

Mohammad Dehsara received his B.Sc. in Mechanical Engineering from K.N.T. University of Technology, Iran in 2009. As an outstanding B.Sc. graduate, he exempted from the nationwide M.Sc. entrance exam, also got scholarship from Amirkabir University of Technology (Tehran Polytechnic) to pursue his M.Sc. in Mechanical Engineering. In 2012, he graduated from Amirkabir University of Technology in Energy Conversion field. Currently, he is a Ph.D. candidate in the School of Mechanical and Materials Engineering at the Washington State University.

Nemat Dalir received his B.Sc. and M.Sc. degrees in Mechanical Engineering from Tabriz University, Tabriz, in Iran, and Iran University of Science and Technology (IUST), Tehran, in Iran, in 2008 and 2010, respectively. He is currently at the edge of receiving his Ph.D. in Mechanical Engineering from Department of Mechanical Engineering at Amirkabir University of Technology (Tehran Polytechnic), Tehran, in Iran. His research program is in the field of hydrodynamic instability. He also teaches part-time at Salmas Branch of Islamic Azad University, Salmas, in Iran.

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Dehsara, M., Dalir, N. & Nobari, M.R.H. Numerical analysis of entropy generation in nanofluid flow over a transparent plate in porous medium in presence of solar radiation, viscous dissipation and variable magnetic field. J Mech Sci Technol 28, 1819–1831 (2014). https://doi.org/10.1007/s12206-014-0329-6

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  • DOI: https://doi.org/10.1007/s12206-014-0329-6

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