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Mechanical Sciences An open-access journal for theoretical and applied mechanics
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Volume 9, issue 1
Mech. Sci., 9, 61-70, 2018
https://doi.org/10.5194/ms-9-61-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
Mech. Sci., 9, 61-70, 2018
https://doi.org/10.5194/ms-9-61-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 14 Feb 2018

Research article | 14 Feb 2018

Heat transfer and MHD flow of non-newtonian Maxwell fluid through a parallel plate channel: analytical and numerical solution

Alireza Rahbari1,2, Morteza Abbasi3, Iman Rahimipetroudi4, Bengt Sundén5, Davood Domiri Ganji3, and Mehdi Gholami6 Alireza Rahbari et al.
  • 1Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran
  • 2Research School of Engineering, The Australian National University, Canberra, ACT 2601, Australia
  • 3Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
  • 4Young Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran
  • 5Department of Energy Sciences, Division of Heat Transfer, Lund University, Lund, Sweden
  • 6Department of Mechanical Engineering, Tehran Science and Research Branch, Islamic Azad University, Damavand, Iran

Abstract. Analytical and numerical analyses have been performed to study the problem of magneto-hydrodynamic (MHD) flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel. The governing equations of continuity, momentum and energy are reduced to two ordinary differential equation forms by introducing a similarity transformation. The Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and fourth-order Runge-Kutta numerical method (NUM) are used to solve this problem. Also, velocity and temperature fields have been computed and shown graphically for various values of the physical parameters. The objectives of the present work are to investigate the effect of the Deborah numbers (De), Hartman electric number (Ha), Reynolds number (Rew) and Prandtl number (Pr) on the velocity and temperature fields. As an important outcome, it is observed that increasing the Hartman number leads to a reduction in the velocity values while increasing the Deborah number has negligible impact on the velocity increment.

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Analytical and numerical analyses have been performed to study the problem of magneto-hydrodynamic (MHD) flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel. The Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and fourth-order Runge-Kutta numerical method (NUM) are used to solve this problem. Also, velocity and temperature fields have been computed and shown graphically for various values of the important physical parameters.
Analytical and numerical analyses have been performed to study the problem of...
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