Energy stability of the Ekman boundary layer
1971 ◽
Vol 47
(2)
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pp. 405-413
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Keyword(s):
The Mean
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The critical value RE of the Reynolds number R is predicted by the application of the energy theory. When R < RE, the Ekman layer is the unique steady solution of the Navier-Stokes equations and the same boundary conditions, and is, further, stable in a slightly weaker sense than asymptotically stable in the mean. The critical value RE is determined by numerically integrating the relevant Euler-Lagrange equations. An analytic lower bound to RE is obtained. Comparisons are made between RE and RL, the critical value of R according to linear theory, in order to demark the region of parameter space, RE < R < RL, in which subcritical instabilities are allowable.
2008 ◽
Vol 615
◽
pp. 433-443
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1985 ◽
Vol 40
(8)
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pp. 789-799
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1998 ◽
Vol 371
◽
pp. 207-232
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1999 ◽
Vol 387
◽
pp. 227-254
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1968 ◽
Vol 306
(1486)
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pp. 275-290
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2021 ◽
Vol 47
(21)
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pp. 19