Role of slip velocity on peristaltic transport of couple stress fluid through an asymmetric non-uniform channel: Application to digestive system

2016 ◽  
Vol 221 ◽  
pp. 305-315 ◽  
Author(s):  
G.C. Shit ◽  
N.K. Ranjit
2011 ◽  
Vol 04 (03) ◽  
pp. 365-378 ◽  
Author(s):  
G. C. SANKAD ◽  
G. RADHAKRISHNAMACHARYA

Peristaltic transport of an incompressible couple stress fluid in a two-dimensional uniform channel with wall effects and in the presence of magnetic field has been studied. Using long wavelength approximation with low Reynolds number and dynamic boundary conditions, analytical expressions have been derived for velocity and stream function and the effects of pertinent parameters on these flow variables have been studied. The numerical results show that the time average velocity decreases with viscous damping force. Further, it has been observed that trapping occurs and the size of the trapped bolus decreases with Hartman number.


1986 ◽  
Vol 25 (6) ◽  
pp. 638-641 ◽  
Author(s):  
L. M. Srivastava

2017 ◽  
Vol 7 ◽  
pp. 2865-2873 ◽  
Author(s):  
T. Hayat ◽  
H. Zahir ◽  
A. Alsaedi ◽  
B. Ahmad

2012 ◽  
Vol 12 (03) ◽  
pp. 1250048 ◽  
Author(s):  
S. MAITI ◽  
J. C. MISRA

The paper deals with a theoretical investigation of the peristaltic transport of a couple stress fluid in a porous channel. The study is motivated toward 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 reported by 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.


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