Peristaltic Pumping and Dispersion of a MHD Couple Stress Fluid with Chemical Reaction and Wall Effects
M. Y. Dhange *
Department of Mathematics, Aliated to Visvesvaraya Technological University, BLDEAs VP Dr. PG Halakatti College of Engineering and Technology, Karnataka, India.
G. C. Sankad
Department of Mathematics, Aliated to Visvesvaraya Technological University, BLDEAs VP Dr. PG Halakatti College of Engineering and Technology, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The dispersion of a solute matter in the magneto-hydrodynamic peristaltic pumping of an incompressible couple stress fluid with wall effects has been studied. The mean effective coecient of dispersion on simultaneous homogeneous, heterogeneous chemical reaction has been obtained through long wavelength assumption and condition of Taylor's limit. The impacts of penetrating parameters on the mean effective dispersion coecient have been examined through the graphs. It is found that wall constraints and amplitude ratio favor the scattering, while couple stress and magnetic eld constraints resist the scattering during pumping.
Keywords: Chemical reaction, couple stress fluid, dispersion, peristaltic transport, wall properties