Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractiona...

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Autores principales: Nazish Iftikhar, Fatima Javed, Muhammad Bilal Riaz, Muhammad Abbas, Abdullah M. Alsharif, Y. S. Hamed
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
Materias:
MHD
Acceso en línea:https://doaj.org/article/2c08fa18d3fe4b7396c7a978564672c5
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Sumario:Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect.