Fully Developed Liquid Layer Flow Over a Convex Corner Considering Surface Tension Effects Using Numerical Methods

Authors

  • Maimoona Faryad Department of Mathematics, University Of Engineering and Technology Lahore, Pakistan.
  • Saadia Farid Department of Mathematics, University Of Engineering and Technology Lahore, Pakistan.
  • Samia Riaz Department of Mathematics, University Of Engineering and Technology Lahore, Pakistan.
  • Ifrah Bhatti Department of Mathematics, University Of Engineering and Technology Lahore, Pakistan.

Keywords:

Half-poiseuille flow, Matched Asymptotic technique, Chebyshev Collocation method

Abstract

In this paper, liquid layer flow considering surface tension effect, encountering a convex corner has been discussed. The flow profile far upstream is fully developed. Half-Poiseuille gives exact solution far upstream. Due to small disturbance of 0(δ), matched asymptotic technique has been opted to get the linearized solutions far downstream. The obtained equations have been solved numerically using Chebyshev Collocation method in collaboration with finite difference scheme. These results have been verified via computational work. The aforementioned method is beneficial, as we have successfully plotted graphs for the cases s = 0.1 and 0.2. Eventually, we have compared obtained results with the Gajjar’s results [3]

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Published

2015-12-31

Issue

Vol. 47 No. 2 (2015)

Section

Articles

How to Cite

Fully Developed Liquid Layer Flow Over a Convex Corner Considering Surface Tension Effects Using Numerical Methods. (2015). Punjab University Journal of Mathematics, 47(2), 33-45. https://pujm.pu.edu.pk/index.php/pujm/article/view/50