Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels

Ayman Mahmoud SOBH

Article Details

Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels

Authors:

Ayman Mahmoud SOBH

Publisher:

TUBITAK

Journal:

Turkish Journal of Engineering and Environmental Sciences 2008 Vol.32 Issue 2, pp.117-123

Document Type:

Article

Publication Date:

1/2008

Document Language:

Turkish

Document ID (Org No.):

2000744865

Frequency:

Tri-annual

eISSN:

1303-6157

pISSN:

1300-0160

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.

 

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.

Article Details

Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels

Authors: Ayman Mahmoud SOBH

Publisher: TUBITAK

Journal: Turkish Journal of Engineering and Environmental Sciences 2008 Vol.32 Issue 2, pp.117-123

Document Type: Article

Publication Date: 1/2008

Document Language: Turkish

Document ID (Org No.): 2000744865

Frequency: Tri-annual

eISSN: 1303-6157

pISSN: 1300-0160

Issues

Authors:

Ayman Mahmoud SOBH

Publisher:

TUBITAK

Journal:

Turkish Journal of Engineering and Environmental Sciences 2008 Vol.32 Issue 2, pp.117-123

Document Type:

Article

Publication Date:

1/2008

Document Language:

Turkish

Document ID (Org No.):

2000744865

Frequency:

Tri-annual

eISSN:

1303-6157

pISSN:

1300-0160