Mathematical Modelling to Simulate Biological Fluid Flow in a Collapsible Tube
American Journal of Mechanics and Applications
Volume 6, Issue 1, March 2018, Pages: 1-6
Received: Dec. 26, 2017; Accepted: Jan. 11, 2018; Published: Jan. 29, 2018
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Muhammad Zeeshan Ashraf, Department of Basic Sciences & Humanities, University of Engineering and Technology, Lahore, Pakistan
Muhamad Riaz Khan, Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
Shahzad Waheed, Department of Mathematics, University Of Lahore, Lahore, Pakistan
Muhammad Ahsan, Department of Mathematics, Hajvery University, Lahore, Pakistan
Saira Hussnain, Department of Mathematics, Hajvery University, Lahore, Pakistan
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The purpose of this paper is to advance a mathematical model for reviewing to simulate biological flows such as blood flow in arteries or veins, flow of urine in urethras and air flow in the bronchial airways. They can also be used to study and prediction of many diseases, as the lung disease (asthma and emphysema), or the cardiovascular diseases (heart stroke), Makinde (2005). In this work, laminar flow of an incompressible viscous fluid through a collapsible tube of circular cross section is considered. Collapsible tubes are easily deformed by negative transmural pressure owing to marked reduction of rigidity. Thus, they show a considerable nonlinearity and reveal various complicated phenomena Our objectives are to study the effect of temperature along the tube as the fluid Prandtl number and Reynolds number increases. We launch the mathematical formulation of the problem. The problem is solved by using power series and perturbation techniques with help of boundary conditions and results are displayed graphically for different flow characteristics, velocity profile.
Power Series, Transmural Pressure, Collapsible Tube
To cite this article
Muhammad Zeeshan Ashraf, Muhamad Riaz Khan, Shahzad Waheed, Muhammad Ahsan, Saira Hussnain, Mathematical Modelling to Simulate Biological Fluid Flow in a Collapsible Tube, American Journal of Mechanics and Applications. Vol. 6, No. 1, 2018, pp. 1-6. doi: 10.11648/j.ajma.20180601.11
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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