Generalized dispersion in a synovial fluid of human joints.

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 Sankara-subramanian [12]. 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.

Influence of electric field on the unsteady dispersion coefficient in couple-stress flow.

The influence of electric field on unsteady convective diffusion in couple stress flow is studied using a time dependent dispersion model. The electric field, arising as a body couple in the governing equations, is shown to increase the axial dispersion coefficient. This is useful in the control of haemolysis caused by artificial organs implanted or extracorporeal.

The effects of slip velocity at a membrane surface on blood flow in the microcirculation.

Closed-form solutions are presented for blood flow in the microcirculation by taking into account the influence of slip velocity at the membrane surface. In this study, the convective inertia force is neglected in comparison with that of blood viscosity on the basis of the smallness of the Reynolds number of the flow in microcirculation. The permeability property of the blood vessel is based on the well known Starling's hypothesis.

Effect of couple stresses on the unsteady convective diffusion in fluid flow through a channel.

A generalized dispersion model is used to obtain exact solution for unsteady convective diffusion in the presence of couple stresses. The effect of the couple stress parameter 'a' on the most dominant dispersion coefficient is clearly depicted. The dimensionless mean concentration distribution is obtained as a function of dimensionless axial distance, time and 'a'.