scholarly journals Unsteady flow of a second grade fluid film over an unsteady stretching sheet

2008 ◽  
Vol 48 (3-4) ◽  
pp. 518-526 ◽  
Author(s):  
Z. Abbas ◽  
T. Hayat ◽  
M. Sajid ◽  
S. Asghar
Keyword(s):  
Unsteady Flow ◽  
Stretching Sheet ◽  
Fluid Film ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Unsteady Stretching Sheet ◽  
Grade Fluid

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

2018 ◽  
Vol 60 (2) ◽  
pp. 249-268
Author(s):  
S. PANDA ◽  
K. K. PATRA ◽  
M. SELLIER
Keyword(s):  
Thin Film ◽  
Free Surface ◽  
Stretching Sheet ◽  
Second Grade ◽  
Uniform Grid ◽  
Surface Dynamics ◽  
Second Grade Fluid ◽  
Unsteady Stretching Sheet ◽  
Grade Fluid ◽  
Free Surface Dynamics

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.

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