Open AccessNew Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer
Author(s) -
Arsalan Ahmed,
Km Poonam,
Munam Khalil,
Fatima Riaz,
Syed Mohammad Mohsnain
Publication year - 2021
Publication title -
shilap revista de lepidopterología
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.338
H-Index - 12
eISSN - 2340-4078
pISSN - 0300-5267
DOI - 10.22055/jacm.2020.35115.2566
Subject(s) - magnetohydrodynamics , porous medium , mechanics , partial differential equation , newtonian fluid , non newtonian fluid , heat transfer , physics , traveling wave , ordinary differential equation , exact solutions in general relativity , flow (mathematics) , viscous liquid , fluid dynamics , mathematical analysis , mass transfer , nonlinear system , classical mechanics , mathematics , differential equation , porosity , materials science , magnetic field , composite material , quantum mechanics
The aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by utilizing the wave parameter ξ = lx + my + nz + ωtβ/Γ(β+1) into ordinary differential equations. The exact solutions are attained by applying a traveling wave method for two different cases. Here we discuss some precise cases, the solution of MHD Newtonian fluid in porosity can be obtained by substituting α1 → 0 in general solution. The impact of important governing parameters on the movement of a fluid is examined as well as the comparison of Newtonian and non-viscous fluids have been made by 2D and 3D graphical analysis.
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