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MHD flow of a fractional second grade fluid over an inclined heated plate

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  • Tassaddiq, Asifa

Abstract

The emergence of Atangana–Baleanu fractional derivative in solving various physical phenomenon is extraordinarily beneficial and provide results that are more realistic. Therefore, this article focused on the application of this fractional operator to magnetohydrodynamic (MHD) movement of second-grade fluid in an inclined heated plate with an inclined magnetic field. The problem is constructed in terms of fractional PDE's subject to physical initial and boundary conditions. The solutions are obtained by the joint application of Laplace and Zakian's numerical algorithm. To explore the effect of various flow parameters, the solutions are plotted in graphs and discussed physically. It is found that the fluid velocity decreases with an increasing fractional parameter α. For α=1, the fluid velocity is minimum. Furthermore, it is explored that the strength of the magnetic field is strongest for the inclination angle β=π2.

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  • Tassaddiq, Asifa, 2019. "MHD flow of a fractional second grade fluid over an inclined heated plate," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 341-346.
    • Handle: RePEc:eee:chsofr:v:123:y:2019:i:c:p:341-346
    DOI: 10.1016/j.chaos.2019.04.029
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    6. Khan, Aziz & Gómez-Aguilar, J.F. & Saeed Khan, Tahir & Khan, Hasib, 2019. "Stability analysis and numerical solutions of fractional order HIV/AIDS model," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 119-128.
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    Cited by:

    1. Waqas, M. & Khan, M. Ijaz & Hayat, T. & Gulzar, M. Mudassar & Alsaedi, A., 2020. "Transportation of radiative energy in viscoelastic nanofluid considering buoyancy forces and convective conditions," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    2. Riaz, M.B. & Iftikhar, N., 2020. "A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    3. Asifa Tassaddiq, 2020. "A New Representation of the Generalized Krätzel Function," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    4. Tassaddiq, Asifa & Khan, I. & Nisar, K.S., 2020. "Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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