The paper presents an analytical solution for the dispersion of a solute in a conducting immiscible fluid flowing between two parallel plates in the presence of a transverse magnetic field. The fluids in both the regions are incompressible, electrically conducting and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions for each fluid are obtained and these solutions are matched at the interface using suitable matching conditions. The results are tabulated for various values of viscosity ratio, pressure gradient and Hartman number on the effective Taylor dispersion coefficient and volumetric flow rate in the absence and in the presence of chemical reactions. It is found that the solute is dispersed relative to a plane moving with the mean speed of flow with an effective Taylor diffusion coefficient which decreases with an increase in magnetic field with or without chemical reactions. The validity of the results obtained for conducting two fluid model is verified by comparison with the available one-fluid model and the values tally very well.
Kumar, J. P. and Umavathi, J. C.
Dispersion of a Solute in Hartmann Two-Fluid Flow between Two Parallel Plates,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 8,
2, Article 7.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss2/7