Peristaltic Transport of a Couple Stress Fluid: Some Applications to Hemodynamics

Abstract

The paper deals with a theoretical investigation of the peristaltic transport of a couple stress fluid in a porous channel. The study is motivated towards investigating the physiological flow of blood in the micro-circulatory system, by taking account of the particle size effect. The velocity, pressure gradient, stream function and frictional force of blood are investigated, when the Reynolds number is small and the wavelength is large, by using appropriate analytical and numerical methods. Effects of different physical parameters reflecting porosity, Darcy number, couple stress parameter as well as amplitude ratio on velocity profiles, pumping action and frictional force, streamlines pattern and trapping of blood are studied with particular emphasis. The computational results are presented in graphical form. The results are found to be in good agreement with those of Shapiro et. al [52] that was carried out for a non-porous channel without consideration of couple stress effect. The present study puts forward an important observation that for peristaltic transport of a couple stress fluid during free pumping, flow reversal can be considerably controlled by suitably adjusting the couple stress effect of the fluid/Darcy permeability of the channel. It is also possible to avoid the occurrence of trapping, by reducing the permeability.

Математическое Моделирование Перистальтического Течения Литогенной Желчи Через Проток При Рубцовом Стенозе Рассматриваемом В Виде Трубки С Сужающимися Стенками Конечной Длины

“…Различные аспекты особенностей течения были также исследованы, в том числе оптимизация формы канала [60], учет взаимодействия «жидкость-твердое тело» [35,39], рефлюкс [34] и перистальтический насос [23,58].…”

Heat and Mass Transfer Analysis on Peristaltic Flow of Particle–fluid Suspension With Slip Effects

“…Since, the most alluring work was described by Latham, 1 various authors investigated analytically, numerically and experimentally the mechanism of peristaltic flow in different geometrical aspects. [2][3][4][5] For instance, Hina et al 6 explored the impact of compliant walls on non-Newtonian peristaltic motion of third grade fluid in a curved channel and obtained the series solution for temperature profile and concentration profile. He observed that the magnitude of the bolus in not similar in the upper and the lower part of the channel.…”

Combined Effect of Heat and Mass Transfer on MHD Peristaltic Transport of a Couple Stress Fluid in a Inclined Asymmetric Channel Through a Porous Medium

“…Recently, peristaltic transport of non Newtonian fluid has been an important topic in the chemical field. A considerable amount the literature has been reported in [22][23][24][25][26][27][28][29]. Srivastava [22] developed the mathematical model for Peristaltic transport of a couple-stress fluid.…”

“…Vidhya et al [25] studied the MHD peristaltic flow of a couple stress fluids permeated with suspended particles through a porous medium under long wavelength approximation. Few authors like Pandey [26], Mishra [27], Alsaedi [28], Sankad [29] (and all the reference therein) have studied the non Newtonian fluid. Few authors [30][31] discussed the heat and mass transfer for non Newtonian fluid.…”