Dufour and Rotational Effects on Unsteady Flow Past a Parabolic Accelerated Vertical Plate

This study examines the influences of rotation and the Dufour
parameter on unstable free convective flow over a parabolically
accelerated infinite vertical plate characterized by uniform
temperature and constant mass diffusion. It is presumed that the
fluid can carry electricity and cannot be compressed. The governing
partial differential equations that describe momentum, energy, and
concentration are written in a way that doesn't use any units. The
Laplace transform method is used to find analytical solutions for the
domains of velocity, temperature, and concentration. We look at how
crucial physical factors like the temperature Grashof number, mass
Grashof number, Dufour number, and rotation parameter affect the
flow characteristics. The findings indicate that fluid velocity rises with
higher thermal and mass Grashof numbers, attributed to augmented
buoyancy effects. An increase in the Dufour parameter considerably
improves the temperature and concentration distributions within the
boundary layer. The research offers a valuable understanding of the
synergistic impacts of thermal diffusion and rotational motion on
unstable convective transport phenomena in electrically conducting
fluids, pertinent to various engineering and geophysical contexts.