Abstract
AbstractUnder the effect of an angled magnetic field and the constant gradient of pressure, the present study investigates the solute dispersion in a Magneto-Hydrodynamics (MHD) flow between two infinite parallel plates, with the upper plate moving at a constant speed while the lower plate remains stationary. The unsteady advection-diffusion equation is solved by Aris’s moments method with aid of a finite-difference scheme. It is shown that with the enhancement of absorption parameter, inclination angle of magnetic field and Hartmann number, the dispersion of the solute decreases. It is observed that after a certain critical time, the coefficient of dispersion asymptotically comes to a stationary circumstance for all cases. The present result may be applied for separation of matter from the fluids. The reaction parameter (\(\beta \)), inclination of an angle of the magnetic field (\(\alpha \)), the Hartmann number (M), and the dispersion time (t) all have a significant impact on the solute’s mean concentration profiles.KeywordsInclined magnetic fieldDispersionMethod of momentsChannelAbsorptionDispersionDistribution of mean Concentration
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