Open AccessMHD Flows of Second Grade Fluid Through the Moving Porous Cylindrical Domain
Author(s) -
Mohsin Jamil,
Muhammad Zafarullah
Publication year - 2019
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v12i3.3426
Subject(s) - magnetohydrodynamics , laplace transform , cylinder , mathematics , mechanics , mathematical analysis , newtonian fluid , integral transform , hankel transform , boundary value problem , classical mechanics , geometry , physics , bessel function , magnetic field , quantum mechanics
The flows of Magnetohydrodynamics(MHD) second grade fluid between two infinite porous coaxial circular cylinders are studied. At time t=0^+, the inner cylinder begins to rotate around its axis and to slide along the same axis due to torsional and longitudinal time dependent shear stresses and the outer cylinder is also rotate around its axis and to slide along the same axis with acceleration. The exact solutions obtained with the help of discrete Laplace and finite Hankel transform, satisfy all imposed initial and boundary conditions. The solution presented in convolution product of Laplace transform . The corresponding solutions for second grade and Newtonian fluids are also obtained as limiting cases with and without MHD effect. Finally, the influence of pertinent parameters on the velocity components and shear stresses, as well as a comparison among, second grade and Newtonian fluids with and without MHDÂ is also analyzed by graphical illustrations.