NOTE ON HOWARD SEMICIRCLE THEOREM

被引:50
作者
KOCHAR, GT
JAIN, RK
机构
[1] Department of Mathematics, Indian Institute of Technology, Kanpur
关键词
D O I
10.1017/S0022112079000276
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
For a steady plane parallel flow of an inviscid incompressible fluid of variable density under gravity, it is shown that the complex wave velocity for any unstable mode lies in a semi-ellipse whose major axis coincides with the diameter of Howard's semicircle, while its minor axis depends on the stratification. © 1979, Cambridge University Press. All rights reserved.
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页码:489 / 491
页数:3
相关论文
共 4 条
[1]  
BANERJEE MB, 1972, MATH STUDENT, V40, P111
[2]  
BANERJEE MB, 1974, J MATH PHYS SCI, V8, pA475
[3]   NOTE ON A PAPER OF MILES,JOHN,W. [J].
HOWARD, LN .
JOURNAL OF FLUID MECHANICS, 1961, 10 (04) :509-512
[4]  
HOWARD LN, 1966, ADV APPL MECH, V9, P1