Abstract
Abstract 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.
Highlights
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
Initially we formulate the constitutive equations for the flow of a classical Maxwell fluid and revelent reversal are made to get the constitutive equations for the fractional Maxwell fluids
In correspondence to constitutive equations, a fractional Maxwell fluid can be obtained by using appropriate ρ(1
Summary
Abstract: 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. Various types of solutions can be obtained by the cross sections of different geometries It can be wisely used in industry due to its ability to flow via ducts. Nazar et al [16,17] studied the motion of generalized and ordinary Maxwell fluid via an oscillatory rectangular duct and obtained the exact solution for the velocity and tangential stresses. Sultan et al [18] extended the Nazar et al [16,17] problem and studied the unsteady flow of a Maxwell fluid in porous rectangular duct.
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