scholarly journals Impact of Compliant Wall Properties on Peristaltic Transport of a Compressible Non-Newtonian Maxwellian Fluid Through Axisymmetric Cylindrical Tube

2021 ◽  
Vol 1970 (1) ◽  
pp. 012001
Author(s):  
Islam M Eldesoky ◽  
Mohammed S Nayel ◽  
Abdallah A Galal ◽  
Hagar M Raslan
Keyword(s):  
Cylindrical Tube ◽  
Peristaltic Transport ◽  
Wall Properties ◽  
Compliant Wall

PERISTALTIC TRANSPORT OF A THIRD-ORDER FLUID IN A CIRCULAR CYLINDRICAL TUBE

2002 ◽  
Vol 12 (12) ◽  
pp. 1691-1706 ◽  
Author(s):  
T. HAYAT ◽  
Y. WANG ◽  
A. M. SIDDIQUI ◽  
K. HUTTER ◽  
S. ASGHAR
Keyword(s):  
Numerical Solutions ◽  
Cylindrical Tube ◽  
Deborah Number ◽  
Peristaltic Transport ◽  
Average Radius ◽  
Third Order ◽  
Living Body ◽  
Analytic Perturbation ◽  
Circular Cylindrical Tube ◽  
Problem Comparison

The effect of a third-order fluid on the peristaltic transport is analysed in a circular cylindrical tube, such as some organs in the living body. The third-order flow of an incompressible fluid in a circular cylindrical tube, on which an axisymmetric travelling sinusoidal wave is imposed, is considered. The wavelength of the peristaltic waves is assumed to be large compared to the tube average radius, whereas the amplitude of the wave need not be small compared to the average radius. Both analytic (perturbation) and numerical solutions are given. For the perturbation solution, a systematic approach based on an asymptotic expansion of the solution in terms of a small Deborah number is used and solutions up to the first order are presented in closed forms. The numerical solution, valid for any Deborah number, represents a new approach to peristaltic flows, and its features illuminate the physical behaviour much more than the analytical research on this problem. Comparison is made between the analytic (perturbation) and numerical results. Furthermore, the obtained results could also have applications to a range of peristaltic flows for a variety of non-Newtonian fluids such as aqueous solutions of high-molecular weight polyethylene oxide and polyacrylamide.

scholarly journals Effects of (MHD) and wall properties oscillatory flow for williamson fluid with constant viscosity through porous channel

2021 ◽  
Vol 1 (1) ◽  
pp. 94-105
Author(s):  
Zain Alabdeen A.N.ALSAFI ◽  
Ahmed A.H. Al-Aridhee ◽  
Saif Razzaq Al-Waily
Keyword(s):  
Heat Transfer ◽  
Theoretical Model ◽  
Oscillatory Flow ◽  
Porous Channel ◽  
Sinusoidal Wave ◽  
Williamson Fluid ◽  
Wall Properties ◽  
Compliant Wall ◽  
Compliant Walls ◽  
Constant Viscosity

In this research, the williamson flow with heat transfer through the tube of compliant wall properties with slip at boundaries is analyzed analytically. An approximated theoretical model is constructed of springbacked flexible compliant walls pipe, chosen to move as sinusoidal wave

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