Mathematical study of Electroosmotically driven peristaltic flow of Casson fluid inside a tube having systematically contracting and relaxing sinusoidal heated walls

Author(s):  
Salman Saleem ◽  
Salman Akhtar ◽  
Sohail Nadeem ◽  
Anber Saleem ◽  
Mehdi Ghalambaz ◽  
...  
2012 ◽  
Vol 24 (1) ◽  
pp. 1-9 ◽  
Author(s):  
P. Nagarani ◽  
A. Lewis

2013 ◽  
Vol 19 (3) ◽  
pp. 399-409 ◽  
Author(s):  
S. Nadeem ◽  
Arshad Riaz ◽  
R. Ellahi

In this article, the theoretical and mathematical study of peristaltic transport of a Jeffrey fluid in a rectangular duct with compliant walls is discussed. The constitutive equations are simplified under the implementation of low Reynolds number and long wavelength approximations. The analytical solution of the resulting equations is evaluated by Eigen function expansion method. The graphical aspects of all the parameters of interest are also analyzed. The graphs of velocity for two and three dimensional flow are plotted. The trapping bolus phenomenon is also discussed though streamlines.


2002 ◽  
Vol 35 (7-8) ◽  
pp. 895-912 ◽  
Author(s):  
A.V. Mernone ◽  
J.N. Mazumdar ◽  
S.K. Lucas

Fluids ◽  
2021 ◽  
Vol 6 (10) ◽  
pp. 356
Author(s):  
Simone Guadagli ◽  
Liviu Iulian Palade ◽  
Lorenzo Fusi ◽  
Angiolo Farina

Widely used for modeling biological fluids flows—in particular, blood vessel flows—a Casson flow is studied in a symmetric channel for which the aspect ratio enables one to use the lubrication approximation. Two flow driving conditions are prescribed: inlet–outlet pressure difference and peristaltic oscillations of the vessel walls. In both cases, starting from mass and momentum balance and using lubrication approximation, we investigate the conditions to be imposed on the driving mechanisms so that the inner plug does not come in touch with the walls. The study of the peristaltic flow is of great importance in view of its applications in physiology (including microcirculation applications).


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