 MHD flow of a fractional second grade fluid over an inclined heated plateAsifa Tassaddiq Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 341-346 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. Keywords: MHD flow; Stocks second problem; Second-grade fluid; Atangana–Baleanu fractional derivatives; Inclined magnetic field (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:341-346 DOI: 10.1016/j.chaos.2019.04.029 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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