Affiliations: [a] Gulbarga University, Gulbarga-585 106, India | [b] Department of Mathematics, University of Windsor, Windsor, Ontario, Canada
Note: [] Accepted by: Editor N. Ohshima
Abstract: An unsteady convective diffusion in a synovial fluid of human joints modeled as a power-law fluid is studied using the generalized dispersion model of Gill and Sankarasubramanian (Fan, L.T. and Wang, H.N. Dispersion of Matter in non-Newtonian Laminar Flow Through a Circular Tube, Proc. Roy. Soc. Lond., A292, 203 - 208, 1966.). The contributions of convection and diffusion, and pure convection on the dispersion of nutrient are investigated in detail. It is shown that the effect of decrease in non-Newtonian parameter is to decrease the dispersion coefficient. The mean concentration distribution appears to increase as the non-Newtonian parameter decreases upto a certain value of the axial distance. Beyond this point, however, the reverse pattern is observed.
