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  • FREE-SURFACE DYNAMICS OF THIN SECOND-GRADE FLUID OVER AN UNSTEADY STRETCHING SHEET

  • Part of
  • S. PANDA, K. K. PATRA, M. SELLIER
  • Journal:
    The ANZIAM Journal / Volume 60 / Issue 2 / October 2018
    Published online by Cambridge University Press:
    05 November 2018, pp. 249-268
    • Article
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  • 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.