End effects for plane Stokes flow along a semi-infinite strip

End effects for plane Stokes flow along a semi-infinite strip
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DOI:
10.1007/s000330050072
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发表时间:
1997
期刊:
Zeitschrift für angewandte Mathematik und Physik ZAMP
影响因子:
--
通讯作者:
Robin Knops;C. Lupoli
Robin Knops;C. Lupoli
中科院分区:
其他
文献类型:
--
作者:
Robin Knops;C. Lupoli

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采用一种新技术,推导了不可压缩粘性流体沿半无限带缓慢流动时,在侧向速度为零、规定时间相关的指定端速度和零初始条件下,端效应穿透量的估计。在横截线测量中建立了溶液的生长和衰减,从而证明了与经典Phragmén-Lindelöf原理的关系。
A new technique is employed to derive estimates governing the penetration of end effects for the slow flow of an incompressible viscous fluid along a semi-infinite strip subject to zero velocity on the lateral sides, a prescribed time dependent specified end velocity and zero initial conditions. Both growth and decay of the solution is established in cross-sectional line measure, thus demonstrating a relationship with the classical Phragmén-Lindelöf principle.