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2 International Journal of Applied Mechanics and Engineering

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Effect of electric field on dispersion of a solute in an MHD flow through a vertical channel with and without chemical reaction

Umavathi J. C., Kumar J. P., Gorla R. S. R., Gireesha B. J.

International Journal of Applied Mechanics and Engineering

2016

Vol. 21, no. 3

683--711

The longitudinal dispersion of a solute between two parallel plates filled with two immiscible electrically conducting fluids is analyzed using Taylor’s model. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions are matched at the interface using suitable matching conditions. The flow is accompanied by an irreversible first-order chemical reaction. The effects of the viscosity ratio, pressure gradient and Hartman number on the effective Taylor dispersion coefficient and volumetric flow rate for an open and short circuit are drawn in the absence and in the presence of chemical reactions. As the Hartman number increases the effective Taylor diffusion coefficient decreases for both open and short circuits. When the magnetic field remains constant, the numerical results show that for homogeneous and heterogeneous reactions, the effective Taylor diffusion coefficient decreases with an increase in the reaction rate constant for both open and short circuits.

Use of Taylor dispersion of a solute for immiscible viscous fluids between two plates

Kumar J. P., Umavathi J. C., Basavaraj A.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 2

399-410

The Taylor dispersion of a solute is studied for two immiscible viscous fluids flowing between parallel plates. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The walls of the channel are considered to be isothermal. The closed-form solutions are obtained in both fluids' regions of the channel. The results are presented graphically for various values of pressure gradients, height of the channel, viscosity and diffusivity. The validity of the results obtained from an analytical method for two fluid model is verified by comparison with the available one fluid model results, and good agreement is found.