Unsteady Magnetohydrodynamics (MHD) Natural Convective Flow of Nanofluids Over an Infinite Perpendicular Absorbent Plate

The magnetic fields played the significant roles in plentiful field they are, biologically, chemically, mechanically as well as medically all investigations. In clinical as well as medical investigation the magnets were extremely imperative to create 3-dimensional images of anatomical
 as well as diagnostics significance from nuclear magnetic resonances signal. In views of those applications, the purpose of present research is to the unsteady MHD convective flow past a moving vertical porous plate in nanofluids in the presence of a uniform transverse magnetic field has been
 carried out. The governing equations are solved using Laplace transform technique and the solutions are presented in closed form. The numerical computations of velocity and nanofluid temperature the rate of heat transfer and the shear stress at the plate are presented graphically for several
 values of the pertinent parameters. An increase in radiation parameter leads to decrease the fluid velocity as well as temperature in the boundary layer region. The velocity enhances with increasing permeability parameter. An increase in Grashof number and an increase in time lead to increase
 the fluid temperature. The rate of heat transfer at the plate is found to be higher for Cu-water nanofluid. The shear stress at the plate for Cu-water nanofluid is found to be lower. The present study has many applications in engineering devices.