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Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects

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  • Raza, Ali
  • Ghaffari, Abuzar
  • Khan, Sami Ullah
  • Haq, Absar Ul
  • Khan, M. Ijaz
  • Khan, M. Riaz

Abstract

In this study, we have investigated the magnetohydrodynamics(MHD) fluid flow through a porous medium flowing on anerect vertical plate. The effects of mass and heat transfer through ramped temperature, thermal radiation, and slip conditions in the energy equation are also considered. To enhance the innovation of this article, the recent definition of fractional derivative operator i.e. Atangana-Baleanu (AB) time-fractional derivative, is used to explore the numerical results of the problem.The semi-analytical solution of fractional dimensionless leading equations is obtained by using the Laplace scheme and some numerical methods namely Stehfest and Tzou's algorithms. Some specialcases of velocity distribution are discussed whose physical applications are well-defined in the literature. The obtained results are illustrated graphically and numerically by changing the values ofdifferent parameters. A decayinh change in heat transfer and velocity profile is noticed for fractional parameter β.

Suggested Citation

  • Raza, Ali & Ghaffari, Abuzar & Khan, Sami Ullah & Haq, Absar Ul & Khan, M. Ijaz & Khan, M. Riaz, 2022. "Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010626
    DOI: 10.1016/j.chaos.2021.111708
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    References listed on IDEAS

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    1. Song, Ying-Qing & Hamid, Aamir & Khan, M. Ijaz & Gowda, R.J. Punith & Kumar, R. Naveen & Prasannakumara, B.C. & Khan, Sami Ullah & Khan, M. Imran & Malik, M.Y., 2021. "Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Hammad Khalil & Ishak Hashim & Waqar Ahmad Khan & Abuzar Ghaffari, 2021. "A Novel Method for Solution of Fractional Order Two-Dimensional Nonlocal Heat Conduction Phenomena," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-17, April.
    3. Dumitru Baleanu & Arran Fernandez, 2019. "On Fractional Operators and Their Classifications," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
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