PC-05 Influence of fluid slip on Peristaltic transport of biofluids in a channel
Abstract
Peristalsis is an important process commonly used for mixing, transporting, and pumping fluids in many industrial as well as physiological applications. During this process, motion is induced by a series of waves generated on the walls of the channel due to muscle contractions and expansion.
For this project, the peristaltic transport of biofluids is studied with slip effects. The majority of physiological fluids are known to exhibit non-Newtonian behavior. In this study, biofluid is modeled as a micropolar fluid that consists of rigid, randomly oriented particles suspended in a viscous medium.
The geometry of the flow consists of a 2-dimensional channel with flexible walls. Flow is induced by a periodic sinusoidal wave which travels along the parallel walls of the channel. To develop mathematical model, we started with the modified Navier-Stokes equations for micropolar fluids, after some analysis, a relatively simpler set of equations were obtained under low Reynolds number and long wavelength approximations. The mathematical model is reduced to a coupled system of two differential equations, one for the axial velocity and one for the microrotation parameter of the micropolar fluid. These equations are solved analytically and numerically to get closed-form solutions.
Further analysis was performed to derive expressions for the axial velocity of the fluid, pressure rise per wavelength, mean flow, and pressure drop per wavelength. The expression for stream function was obtained and streamlines were plotted to visualize and study the flow, identify pumping regions, and the bolus trapping phenomenon by varying values of slip and microrotation parameter. Findings indicated that the presence of fluid slip can have a significant influence on the peristaltic pumping, as well as the trapping. Results show that by increasing the fluid slip at the channel walls, the velocity distribution increases, and the size of the trapped bolus gets bigger.
Furthermore, the peristaltic pumping region reduces with the increase of slip parameter but widens when increasing the coupling number. The results for the well-known case of the Newtonian fluid can be obtained from our work if we set the non-Newtonian coupling parameter N=0.
PC-05 Influence of fluid slip on Peristaltic transport of biofluids in a channel
Peristalsis is an important process commonly used for mixing, transporting, and pumping fluids in many industrial as well as physiological applications. During this process, motion is induced by a series of waves generated on the walls of the channel due to muscle contractions and expansion.
For this project, the peristaltic transport of biofluids is studied with slip effects. The majority of physiological fluids are known to exhibit non-Newtonian behavior. In this study, biofluid is modeled as a micropolar fluid that consists of rigid, randomly oriented particles suspended in a viscous medium.
The geometry of the flow consists of a 2-dimensional channel with flexible walls. Flow is induced by a periodic sinusoidal wave which travels along the parallel walls of the channel. To develop mathematical model, we started with the modified Navier-Stokes equations for micropolar fluids, after some analysis, a relatively simpler set of equations were obtained under low Reynolds number and long wavelength approximations. The mathematical model is reduced to a coupled system of two differential equations, one for the axial velocity and one for the microrotation parameter of the micropolar fluid. These equations are solved analytically and numerically to get closed-form solutions.
Further analysis was performed to derive expressions for the axial velocity of the fluid, pressure rise per wavelength, mean flow, and pressure drop per wavelength. The expression for stream function was obtained and streamlines were plotted to visualize and study the flow, identify pumping regions, and the bolus trapping phenomenon by varying values of slip and microrotation parameter. Findings indicated that the presence of fluid slip can have a significant influence on the peristaltic pumping, as well as the trapping. Results show that by increasing the fluid slip at the channel walls, the velocity distribution increases, and the size of the trapped bolus gets bigger.
Furthermore, the peristaltic pumping region reduces with the increase of slip parameter but widens when increasing the coupling number. The results for the well-known case of the Newtonian fluid can be obtained from our work if we set the non-Newtonian coupling parameter N=0.