Free-surface dynamics of thin second-grade fluid over an unsteady stretching sheet

Authors

  • Satyananda Panda Department of Mathematics National Institute of Technology Calicut Calicut-673601, Kerala, India.
  • Kiran Kumar Patra Department of Mathematics National Institute of Technology Calicut Calicut-673601, Kerala, India.
  • Mathieu Sellier Department of Mechanical Engineering, The University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand.

DOI:

https://doi.org/10.21914/anziamj.v60i0.12091

Keywords:

thin liquid film, stretching sheet, second-grade fluid, free-surface flow, long-wave theory, finite-volume method.

Abstract

We derive an evolution equation for the free-surface dynamics of a thin film of a second-grade fluid over an unsteady stretching sheet using long-wave theory. For the numerical investigation of the viscoelastic effect on the thin-film dynamics, a finite-volume approach on a uniform grid with implicit flux discretization is applied. The present results are in excellent agreement with results available in the literature for a Newtonian fluid. We observe that the fluid thins faster with the rapid stretching rate of the sheet, but the second-grade parameter delays the thinning behaviour of the liquid film. doi:10.1017/S1446181118000251

Published

2018-11-20

Issue

Vol. 60 (2018)

Section

Articles for Printed Issues