Abstract

SHARMA, B. R.  and  SINGH, R. N.. Baro-diffusion and thermal-diffusion in a binary fluid mixture confined between two parallel discs in presence of a small axial magnetic field. Lat. Am. appl. res. [online]. 2008, vol.38, n.4, pp.313-320. ISSN 0327-0793.

The effect of a small uniform axial magnetic field on separation of a binary mixture of incompressible viscous thermally and electrically conducting fluids sheared between two parallel discs of which one is stationary and the other is rotating with a constant angular velocity, is examined. It is assumed that one of the components, which is rarer and lighter, is present in the mixture in a very small quantity. Neglecting the induced electric field the equations governing the motion, temperature distribution and concentration distribution are solved in cylindrical polar coordinate by expanding the flow parameters as well as the temperature and the concentration in powers of Reynolds number. The solution obtained for concentration distribution is plotted against the width of the channel for various values of non-dimensional parameters. It is found that the pressure gradient and the temperature gradient favour the separation of the components of binary fluid mixture but the axial magnetic field retards the same. Near the rotating disc the rarer and lighter component of the binary mixture increases with the increase in the value of the Reynolds number but reverse effect is found in the central part as well as near the stationary discs.

Keywords : Binary Mixture; Incompressible Fluid; Thermal Diffusion; Baro Diffusion; Magnetic Field.

        · text in English     · English ( pdf )