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Analytically, velocity field solutions for the magnetohydrodynamic (MHD) oscillating and rotating flows of Maxwell fluids in a
porous plane have been set up with the help of Laplace transform technique. A fine uniform magnetic field of strength B0 has been employed in
normal direction to the angular velocity Ω of fluid flow. Expressions for
the Dimensionless velocity field have been given for electrically conducing, oscillating and rotating flows in a porous plane. A couple of analytical
solutions have been acquired separately for two types of oscillations i.e for
sine and cosine oscillations. In addition these solutions fulfil all proposed
initial and boundary conditions. Graphical illustrations are also considered to find out the steady-state time for oscillating and rotating flows as
well as influence of magnetic field parameter on velocity of Maxwell fluid
has observed.
Anwar Ali, Madeeha Tahir, Rabia Safdar, Aziz Ullah Awan, Muhammad Imran, Maria Javaid. (2018) Magnetohydrodynamic Oscillating and Rotating Flows of Maxwell Electrically Conducting Fluids in a Porous Plane, Punjab University Journal of Mathematics, Volume 50, Issue 4.
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