Variable viscosity effects on the peristaltic motion of a third-order fluid

2010 ◽  
Vol 67 (11) ◽  
pp. 1500-1515 ◽  
Author(s):  
T. Hayat ◽  
F. M. Abbasi
Keyword(s):  
Variable Viscosity ◽  
Peristaltic Motion ◽  
Third Order ◽  
Viscosity Effects

Effects of Variable Viscosity on the Peristaltic Motion in a Third-Order Fluid

2010 ◽  
Vol 65 (11) ◽  
pp. 901-918 ◽  
Author(s):  
Sohail Nadeem ◽  
Noreen Sher Akbar ◽  
Tasawar Hayat
Keyword(s):  
Numerical Solutions ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Peristaltic Motion ◽  
Third Order ◽  
Viscosity Effects ◽  
Homotopy Analysis ◽  
Different Temperatures ◽  
Frictional Forces ◽  
Energy Equations

This article deals with the variable viscosity effects on the channel flow of a third-order fluid. The walls of the asymmetric channel are of different temperatures. Continuity, momentum, and energy equations are utilized in the mathematical analysis. Three types of solutions, namely, the perturbation, homotopy analysis, and numerical are derived. These solutions are compared. The perturbation, homtopy analysis, and numerical solutions are identical up to three digits. The expressions for pressure rise and frictional forces have been calculated using numerical integration. The expressions for pressure rise, frictional forces, velocity profile, temperature profile, pressure gradient, and streamlines have been discussed graphically at the end of the article.

Variable viscosity effects for the steady flow past a sphere

2019 ◽  
Vol 31 (11) ◽  
pp. 113105
Author(s):  
Kostas D. Housiadas ◽  
Antony N. Beris
Keyword(s):  
Steady Flow ◽  
Variable Viscosity ◽  
Viscosity Effects ◽  
Flow Past ◽  
Flow Past A Sphere

scholarly journals Influence of Variable Viscosity on Peristaltic Motion of a Viscoelastic Fluid in a Tapered Microfluidic Vessel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 49 ◽  
Author(s):  
J. Prakash ◽  
E. P.Siva ◽  
A. Govindarajan ◽  
M. Vidhya
Keyword(s):  
Viscoelastic Fluid ◽  
Axial Velocity ◽  
Variable Viscosity ◽  
Fluid Dynamic ◽  
Wave Train ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Average Pressure ◽  
Peristaltic Motion ◽  
Long Wavelength

The peristaltic flow of a viscoelastic fluid in the tapered microchannel with variable viscosity is investigated. This study is reinvigorated by discovering fluid dynamic in peristaltic motion as signified by biological flows, pharmacodynamics and gastro-intestinal motility enhancement. The microchannel non-uniform and asymmetry is developed by choosing a peristaltic wave train on the wall with different amplitudes and phases. The flow analysis has been arisen for low Reynolds number and long wavelength case. The solutions for stream function, axial velocity and pressure gradient are obtained. The effects of pertinent parameters on the average pressure rise per wavelength are investigated by means of numerical integration. The axial velocity and phenomena of trapping are further discussed.  

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