pumping and trapping
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Author(s):  
John T. Yates
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2013 ◽  
Vol 10 (1) ◽  
pp. 41-58 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
S. Asghar ◽  
Awatif A. Hendi

An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.



2012 ◽  
Vol 79 (5) ◽  
Author(s):  
S. Noreen ◽  
A. Alsaedi ◽  
T. Hayat

This research is concerned with the peristaltic flow of pseudoplastic fluid. The problem formulation is made and then the solution analysis is presented, subject to a long wavelength and a low Reynolds number. The stream function and pressure gradient have been computed. Pumping and trapping phenomena are analyzed in detail.



2011 ◽  
Vol 66 (3-4) ◽  
pp. 215-222 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Said Mesloub ◽  
Nasir Ali

In this investigation, we discuss the peristaltic motion based on the constitutive equations of a Carreau fluid in a channel. The fluid is electrically conducting in the presence of a uniform applied magnetic field. Four different wave forms are chosen. The fluid behaviour is studied using long wavelength approximation. Detailed analysis is performed for various emerging parameters on pumping and trapping phenomena. The present results reduce favourably with the currently available results of hydrodynamic case when the Hartman number is chosen zero.



2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.



2010 ◽  
Vol 02 (02) ◽  
pp. 437-455 ◽  
Author(s):  
S. SRINIVAS ◽  
R. MUTHURAJ

Peristaltic flow of a Jeffrey fluid in an inclined asymmetric channel is undertaken when the no-slip condition at the channel wall is no longer valid. The considered fluid is incompressible and electrically conducting. The flow is investigated in a waveframe of reference moving with the velocity of the wave. The analytic solution has been derived for the stream function under long wavelength and low Reynolds number assumptions. The effect of slip and non-Newtonian parameter on the axial velocity and shear stress are discussed in detail. The salient features of pumping and trapping are discussed with particular focus on the effect of slip and non-Newtonian parameters.



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