Start-up plane Poiseuille flow of a Bingham fluid

被引:9
作者
Huilgol, Raja R. [1 ]
Alexandrou, Andreas N. [2 ]
Georgiou, Georgios C. [3 ]
机构
[1] Flinders Univ S Australia, Coll Sci & Engn, GPO Box 2100, Adelaide, SA 5001, Australia
[2] Univ Cyprus, Dept Mech & Mfg Engn, POB 20537, CY-1678 Cyprus, Cyprus
[3] Univ Cyprus, Dept Math, POB 20537, CY-1678 Nicosia, Cyprus
关键词
Bingham plastic; plane Poiseuille flow; start-up flow; analytical solution;
D O I
10.1016/j.jnnfm.2018.10.009
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The start-up flow of a Bingham plastic in a channel is considered and Safronchik's solution [1] for the initial evolution of the yield surface and the core velocity is revisited. Stricter time bounds for the validity of the above solution are derived and the solution is extended to include the velocity profile in the evolving yielded zone. Comparisons are made with another approximate solution derived under the assumption that the velocity in the yielded zone is parabolic adjusting with the evolving yield surface. This approximation performs well for small values of the yield stress, or, equivalently, for large values of the imposed pressure gradient.
引用
收藏
页码:133 / 139
页数:7
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