Peristaltic transport of a pulsatile flow for a particle-fluid suspension through a annular region: Application of a clot blood model

A serious pathological condition is encountered when some blood constituents deposited on the blood vessels get detached from the wall, join the blood stream again and form a clot. The pulsatile flow for peristaltic transport of a fluid with suspended particles may be considered as a mathematical model for the blood flow. We study this model in a annular region with a clot inside it, under low Reynolds number and long wavelength approximation. We model a small artery as a tube having a sinusoidal wave travelling down its wall with a constant velocity c and a clot model inside it. Closed form solutions are obtained for the fluid/particle velocity , as well as the stream function, and the pressure gradient. These solutions contain new additional parameters, namely, δ, the height of the clot, β, the pulsating number and C, the suspension parameter, and the wave amplitude b. The pressure rise and friction force on the outer tube have been discussed for various values of the physical parameters of interest. Finally, the trapping phenomenon is illustrated.