5th INTERNATIONAL CONFERENCE ON THE FRONTIERS OF PLASMA PHYSICS AND TECHNOLOGY

18-22 April 2011, Singapore, Republic of Singapore


EFFECTS OF TRANSVERSE ELECTRIC FIELD AND HETEROGENEITY OF A POORLY ELECTRICALLY CONDUCTING FLUID SATURATED NANOPOROUS ZEOLITES ACQUIRING SMART MATERIAL PROPERTIES

N. Rudraiah1, G. Ranganna2 and P. Shilpa3

1 National Research Institute for Applied Mathematics, 7th Block (West), Jayanagar, Bangalore, India
1,2 UGC-CAS for Fluid Mechanics, Department of Mathematics, Central College campus Bangalore, India
3 Department of Mathematics, R.L. Jalappa Institute of Technology, Doddaballapur, Bangalore, India


Abstract.  In this paper we explain a Mathematical Model involving Darcy linear drag, Forchheimer quadratic drag, horizontal density gradient and the variation of electrical conductivity due to organic substances dissolved in a heterogeneous Boussinesq poorly conducting couple stress fluid flow (PCPCSFF) through Nano Porous Zeolites regarded as densely packed porous media. Initially, the flow is at rest and set in motion due to initial piecewise horizontal concentration gradient.

Analytical solutions, for electric potential using the Maxwell field equations and for velocity and density using nonlinear Darcy Forchheimer equation in the presence of couple stress and electric force are obtained using the method of time series evolution. The analytical solutions for streamlines and density are computed for different values of time, t, for a particular value of electric number W1 and couple stress parameter β and the results are depicted graphically in figures 1 and 2. From these figures we found that the streamlines are closer in the region of x<0 than that of x>0 and the density profiles are concentrated in the lower region and develop curvature in the presence of electric field and couple stress parameter. The physical reason for the nature of streamlines and density profiles are given in the last section and some important conclusions are drawn.

Paper