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

被引：8
作者：
Panda, S. [1 ]
Patra, K. K. [1 ]
Sellier, M. [2 ]
机构：
[1] Natl Inst Technol Calicut, Dept Math, NIT PO, Calicut 673601, Kerala, India
[2] Univ Canterbury, Dept Mech Engn, Private Bag 4800, Christchurch 8140, New Zealand
来源：
ANZIAM JOURNAL | 2018年 / 60卷 / 02期
关键词：
thin liquid film; streching sheet; second-grade fluid; free-surface flow; long-wave theory; finite-volume method; LIQUID-FILM; HEAT-TRANSFER; DIFFERENTIAL TYPE; FLOW;
D O I：
10.1017/S1446181118000251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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收藏
页码：249 / 268
页数：20
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