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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2020032905
pages 623-638

PERISTALTIC TRANSPORTATION OF FLUID THROUGH SIMPLE AND COMPLEX WAVY NONUNIFORM CHANNELS: A BIOENGINEERING APPLICATION

Khurram Javid
Department of Mathematics, Northern University, Nowshera, KPK, Pakistan
Salah Ud-Din Khan
Sustainable Energy Technologies (SET) Center, College of Engineering, King Saud University, PO-Box 800, Riyadh 11421, Saudi Arabia
Mohsan Hassan
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, 54000, Pakistan
Umer Saeed
NUST Institute of Civil Engineering, School of Civil and Environmental Engineering, National University of Sciences and Technology (NUST), Islamabad, Pakistan
Syed Tahir Raza Rizvi
Department of Mathematics, COMSTAS University Islamabad, Lahore Campus 54000, Pakistan
Shahab Ud-Din Khan
National Tokamak Fusion Program, P.O. Nilore, 45650, Islamabad, Pakistan

RÉSUMÉ

In the current research study, a mathematical modeling is developed that is associated with the transportation phenomena due to peristaltic waves in a curve. Because of the complex nature of the regime, curvilinear coordinates are used to govern the system of equations in a fixed frame of reference and then converted into a wave frame by using linear transformations. The analysis is restricted under the creeping hydrodynamic and long wavelength assumptions. The impact of embedded physical parameters, i.e., the dimensionless curvature parameter, phase difference, and nonuniform parameters on the velocity profile, pumping, and trapping phenomena is discussed in detail. Another imperative phenomenon is also discussed that is associated with a comparative study between trains of peristaltic wave and single peristaltic wave propagations on the motion of an incompressible viscous fluid. The results of a straight channel are retrieved from both simple and wavy channels when taking the large value of the radius of the curvature. The pressure gradient in the straight channel is observed to be greater than in the curved channel.

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