On the flow of MHD generalized maxwell fluid via porous rectangular duct

The purpose of this proposed investigation is to study unsteady magneto hydrodynamic (MHD) mixed initial-boundary value problem for incompressible fractional Maxwell fluid model via oscillatory porous rectangular duct. Considering the modified Darcy’s law, the problem is simplified by using the meth...

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Bibliographic Details
Published inOpen Physics Vol. 18; no. 1; pp. 989 - 1002
Main Authors Farooq, Aamir, Kamran, Muhammad, Bashir, Yasir, Ahmad, Hijaz, Shahzad, Azeem, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published De Gruyter 17.12.2020
Subjects
exact solutions
fractional Maxwell fluid
non-Newtonian fluid
oscillatory rectangular duct
velocity field
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Summary:The purpose of this proposed investigation is to study unsteady magneto hydrodynamic (MHD) mixed initial-boundary value problem for incompressible fractional Maxwell fluid model via oscillatory porous rectangular duct. Considering the modified Darcy’s law, the problem is simplified by using the method of the double finite Fourier sine and Laplace transforms. As a limiting case of the general solutions, the same results can be obtained for the classical Maxwell fluid. Also, the impact of magnetic parameter, porosity of medium, and the impact of various material parameters on the velocity profile and the corresponding tangential tensions are illuminated graphically. At the end, we will give the conclusion of the whole paper.
ISSN:2391-5471
2391-5471
DOI:10.1515/phys-2020-0209