A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators

•Fractional-time derivatives.•Inversion Algorithm.•Local and nonlocal Kernels.•Maxwell fluid.•Newtonian heating. In this paper, a comparative analysis is carried out to study the unsteady flow of a MHD Maxwell fluid in the presence of Newtonian heating near a vertical plate. Maxwell fluid is modeled...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 132; p. 109556
Main Authors: Riaz, M.B., Iftikhar, N.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.03.2020
Subjects:
Fractional-time derivatives
Inversion algorithm
Laplace transform
Local and nonlocal kernels
Magnetic effect
Maxwell fluid
Newtonian heating
Fractional-time derivatives
Local and nonlocal kernels
Maxwell fluid
Magnetic effect
26A33
35R11
45K05
Newtonian heating
Laplace transform
65M99
Inversion algorithm
ISSN:0960-0779, 1873-2887
Online Access:Get full text
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Summary:•Fractional-time derivatives.•Inversion Algorithm.•Local and nonlocal Kernels.•Maxwell fluid.•Newtonian heating. In this paper, a comparative analysis is carried out to study the unsteady flow of a MHD Maxwell fluid in the presence of Newtonian heating near a vertical plate. Maxwell fluid is modeled for integer order derivative, Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional-time derivatives. The Laplace transform, inversion algorithm and the convolution theorem are used in this paper to derive solutions to predict the behavior of temperature and velocity. To see the effectiveness of the differential operator, especially the effect of each fractional order, graphical study is carried out in order to show effect of magnetic effect (M) and Maxwell fluid parameter (λ) on temperature and velocity profiles for C, CF and ABC. A comparison is made for C, CF and ABC models for temperature and velocity in tabular form.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2019.109556