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首页> 外文期刊>Special topics & reviews in porous media >FRACTIONALIZED MAGNETOHYDRODYNAMICS (MHD) OF THE MAXWELL FLUID THROUGH POROUS CYLINDERS
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FRACTIONALIZED MAGNETOHYDRODYNAMICS (MHD) OF THE MAXWELL FLUID THROUGH POROUS CYLINDERS

机译：FRACTIONALIZED MAGNETOHYDRODYNAMICS (MHD) OF THE MAXWELL FLUID THROUGH POROUS CYLINDERS

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摘要

The key objective is to establish exact solutions of unsteady flows of an incompressible fractionalized magnetohydrodynamic (MHD) of the Maxwell fluid between two infinite coaxial circular porous cylinders. Initially fluid is at rest, at t = 0+, the inner cylinder is subject to rotate torsional and longitudinal time-dependent shear stresses, and the outer cylinder is also initiated to rotate around its axis and to slide along the same axis with acceleration. Exact solutions are achieved for (rotational and longitudinal) velocity fields and the shear stresses with the help of discrete Laplace and finite Hankel transforms, in term of series expansion, closed in compact form of generalized M-functions, entertain all designated conditions. The corresponding attractive results for MHD fractionalized Maxwell, MHD Maxwell, MHD Newtonian, fractionalized Maxwell, Maxwell, and Newtonian fluids are also found as limiting cases with/without porous effect. Finally, the impact of pertinent parameters on the velocity field components and shear stresses, as well as comparison among these special cases are also analyzed by graphical illustrations. The graphical study for fractionalized MHD of the Maxwell fluid shows that rotational and translational quantities have opposite influence on the motion of fluid. The rotational pair increases while translational pair decreases with the increment in radial height. The effect of relaxation time lambda reflects that the rotational pair of quantities decreases while translational pair increases with respect to increment in relaxation parameter lambda. It is also observed that fluid motion slow down with the increment in kinematics viscosity nu. The effect of magnetic field is shown from the graph that it decreases rotational velocity while increases translational velocity component. Also, the effect of magnetic parameter B and Porosity parameter phi are similar.

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