Bifurcation and stability analysis of critical/stagnation points for peristaltic transport of a power-law fluid in a tube

2019 ◽  
Vol 41 (10) ◽  
Author(s):  
Kaleem Ullah ◽  
Nasir Ali ◽  
Muhammad Sajid
Keyword(s):  
Stability Analysis ◽  
Power Law ◽  
Peristaltic Transport ◽  
Power Law Fluid ◽  
Stagnation Points ◽  
Bifurcation And Stability

scholarly journals Peristaltic Transport of Power-Law Fluid in an Elastic Tapered Tube with Variable Cross-Section Induced by Dilating Peristaltic Wave

2021 ◽  
pp. 1293-1306
Author(s):  
Mohammed Ali Murad ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Pressure Gradient ◽  
Cross Section ◽  
Power Law ◽  
Variable Cross Section ◽  
Peristaltic Transport ◽  
Peristaltic Wave ◽  
Variable Cross ◽  
Power Law Fluid ◽  
Opposite Behavior ◽  
Local Shear

The peristaltic transport of power-law fluid in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave is studied. The exact solution of the expression for axial velocity, radial velocity, stream function, local shear stress, volume of flow rate and pressure gradient are obtained under the assumption of long wavelength and low Reynolds number. The effects of all parameters that appear in the problem are analyzed through graphs. The results showed that the flux is sinusoidal in nature and it is an increasing function with the increase of  whereas it is a decreasing function with the increase of . An opposite behavior for shear strain is noticed compared to pressure gradient.  Finally, trapping phenomenon is presented to explain the physical behavior of various parameters. It is noted that the size of the trapping bolus increases with increasing  whereas it decreases as  increases. MATHEMATICA software is used to plot all figures.

Peristaltic Transport of a Power-Law Fluid With Variable Consistency

1982 ◽  
Vol 104 (3) ◽  
pp. 182-186 ◽  
Author(s):  
J. B. Shukla ◽  
S. P. Gupta
Keyword(s):  
Pressure Drop ◽  
Friction Force ◽  
Power Law ◽  
Flow Rate ◽  
Peristaltic Transport ◽  
Peristaltic Wave ◽  
Power Law Fluid ◽  
Peripheral Layer

Effects of the consistency variation on the peristaltic transport of a non-Newtonian power-law fluid fluid through a tube have been investigated by taking into account the existence of a peripheral layer. It is shown that the flow rate flux, for zero pressure drop, increases as the amplitude of the peristaltic wave increases but it decreases due to the pseudoplastic nature of the fluid. It is also noted that, for zero pressure drop, the flux does not depend on the consistency of peripheral layer while the friction decreases as this consistency decreases. However, for nonzero pressure drop, the flux increases and the friction force decreases as the consistency of peripheral layer fluid decreases.

scholarly journals Peristaltic transport of a power-law fluid in a porous tube

2004 ◽  
Vol 121 (2-3) ◽  
pp. 163-174 ◽  
Author(s):  
A. Ramachandra Rao ◽  
Manoranjan Mishra
Keyword(s):  
Power Law ◽  
Peristaltic Transport ◽  
Power Law Fluid ◽  
Porous Tube
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