Dergiler / Turkish Journal of Engineering and Environmental Sciences / 2008 / Cilt: 32 - Sayı: 2
Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels
- Sayfa
- 117–123
- DOI
- —
Özet
The effect of slip velocity on peristaltic flow of a couple stress fluid in uniform and nonuniform symmetric channels is studied. This problem has numerous applications. It serves as a model for the blood flow in living creatures. Using long wavelength approximation and neglecting inertial forces, a closed form solution for the axial velocity and the pressure gradient was obtained. Numerical computations were carried out to investigate the effect of couple stress parameter a and Knudsen number Kn on pressure rise, maximum pressure rise, and friction force for uniform and nonuniform channels. It is noted that the pressure rise decreases with increasing a and increasing Kn. The friction force has an opposite behavior compared with pressure rise.
Abstract
The effect of slip velocity on peristaltic flow of a couple stress fluid in uniform and nonuniform symmetric channels is studied. This problem has numerous applications. It serves as a model for the blood flow in living creatures. Using long wavelength approximation and neglecting inertial forces, a closed form solution for the axial velocity and the pressure gradient was obtained. Numerical computations were carried out to investigate the effect of couple stress parameter a and Knudsen number Kn on pressure rise, maximum pressure rise, and friction force for uniform and nonuniform channels. It is noted that the pressure rise decreases with increasing a and increasing Kn. The friction force has an opposite behavior compared with pressure rise.