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

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 derivat...

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Bibliographic Details
Published in:Advances in difference equations 2021-11, Vol.2021 (1), p.1-20, Article 501
Main Authors: Iftikhar, Nazish, Javed, Fatima, Riaz, Muhammad Bilal, Abbas, Muhammad, Alsharif, Abdullah M., Hamed, Y. S.
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Difference Equations
Fluid flow
Fractional-order derivatives
Functional Analysis
Heating
Laplace transform
Laplace transforms
Magnetohydrodynamics
Mathematics
Mathematics and Statistics
Maxwell fluid
Maxwell fluids
MHD
Momentum
Newtonian heating
Ordinary Differential Equations
Partial Differential Equations
Special Functions and Orthogonal Polynomials
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03658-5