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Heat Transfer Characteristics in Oscillatory Hydromagnetic Channel Flow of Maxwell Fluid Using Cattaneo–Christov Model

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Abstract

The aim of this investigation is to discuss the hydromagnetic flow and heat transfer of Maxwell fluid in a channel with oscillatory stretching walls. Unlike typical heat transfer studies, here Cattaneo–Christov heat flux model is used. The transformed dimensionless nonlinear partial differential equations are solved by means of the homotopy analysis method. The convergent series solutions are utilized to discuss the main effects of emerging parameters on velocity and temperature. The obtained results illustrate that Hartmann and Deborah numbers suppress the velocity profiles. However, an increase in ratio of oscillation frequency to stretching rate increases the velocity profiles. A reverse flow occurs in the central region of the channel which is found to decrease by increasing Hartmann and Deborah numbers. Moreover, for the Cattaneo–Christove model fluid temperature inside the channel is less when compared with temperature obtained using heat flux based on Fourier law.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan

    Sami Ullah Khan

  2. Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan

    Nasir Ali & Muhammad Sajid

  3. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    Tasawar Hayat

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat

Authors
  1. Sami Ullah Khan
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  2. Nasir Ali
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  3. Muhammad Sajid
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  4. Tasawar Hayat
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Correspondence to Sami Ullah Khan.

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Khan, S.U., Ali, N., Sajid, M. et al. Heat Transfer Characteristics in Oscillatory Hydromagnetic Channel Flow of Maxwell Fluid Using Cattaneo–Christov Model. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 89, 377–385 (2019). https://doi.org/10.1007/s40010-017-0470-6

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  • DOI: https://doi.org/10.1007/s40010-017-0470-6

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