Rotational Flows, Thermodynamics, Angle Vibration and Action of Whirly Flows on Fishes

Lena J.-T. Strömberg

doi:10.4236/ojmip.2017.74005

Calculations of rotational flows using stream function

10.2514/6.1989-474 ◽

1989 ◽

Cited By ~ 3

Author(s):

M. HAFEZ ◽

C. YAM ◽

K. TANG ◽

H. DWYER

Keyword(s):

Stream Function ◽

Rotational Flows

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On rotational flows with discontinuous vorticity beneath steady water waves near stagnation

Journal of Fluid Mechanics ◽

10.1017/jfm.2020.1057 ◽

2021 ◽

Vol 912 ◽

Author(s):

Lin Chen ◽

Biswajit Basu ◽

Calin-I. Martin

Keyword(s):

Water Waves ◽

Rotational Flows

Abstract

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Nonlinear hydrodynamic stability of some simple rotational flows

Il Nuovo Cimento B ◽

10.1007/bf02721179 ◽

1982 ◽

Vol 71 (2) ◽

pp. 282-294 ◽

Cited By ~ 6

Author(s):

S. Pierini ◽

E. Salusti

Keyword(s):

Hydrodynamic Stability ◽

Rotational Flows

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An example of steady laminar flow at large Reynolds number

Journal of Fluid Mechanics ◽

10.1017/s002211206000133x ◽

1960 ◽

Vol 9 (4) ◽

pp. 593-602 ◽

Cited By ~ 91

Author(s):

Iam Proudman

Keyword(s):

Boundary Layer ◽

Reynolds Number ◽

Boundary Layers ◽

Tangential Velocity ◽

Fluid Flows ◽

The Other ◽

Large Reynolds Number ◽

Rotational Flows ◽

Flow Domain ◽

Source Of Information

The purpose of this note is to describe a particular class of steady fluid flows, for which the techniques of classical hydrodynamics and boundary-layer theory determine uniquely the asymptotic flow for large Reynolds number for each of a continuously varied set of boundary conditions. The flows involve viscous layers in the interior of the flow domain, as well as boundary layers, and the investigation is unusual in that the position and structure of all the viscous layers are determined uniquely. The note is intended to be an illustration of the principles that lead to this determination, not a source of information of practical value.The flows take place in a two-dimensional channel with porous walls through which fluid is uniformly injected or extracted. When fluid is extracted through both walls there are boundary layers on both walls and the flow outside these layers is irrotational. When fluid is extracted through one wall and injected through the other, there is a boundary layer only on the former wall and the inviscid rotational flow outside this layer satisfies the no-slip condition on the other wall. When fluid is injected through both walls there are no boundary layers, but there is a viscous layer in the interior of the channel, across which the second derivative of the tangential velocity is discontinous, and the position of this layer is determined by the requirement that the inviscid rotational flows on either side of it must satisfy the no-slip conditions on the walls.

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Steady periodic waves bifurcating for fixed-depth rotational flows

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2013-01293-8 ◽

2013 ◽

Vol 71 (3) ◽

pp. 455-487 ◽

Cited By ~ 17

Author(s):

David Henry

Keyword(s):

Periodic Waves ◽

Rotational Flows

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Influence of the Monsoon Trough on Westward-Propagating Tropical Waves over the Western North Pacific. Part II: Energetics and Numerical Experiments

Journal of Climate ◽

10.1175/jcli-d-14-00807.1 ◽

2015 ◽

Vol 28 (23) ◽

pp. 9332-9349 ◽

Cited By ~ 21

Author(s):

Liang Wu ◽

Zhiping Wen ◽

Renguang Wu

Keyword(s):

North Pacific ◽

Numerical Experiments ◽

Western North Pacific ◽

Monsoon Trough ◽

Water Model ◽

Mean Flow ◽

Horizontal Structure ◽

Rotational Flows ◽

The Mean ◽

The Waves

Abstract Part I of this study examined the modulation of the monsoon trough (MT) on tropical depression (TD)-type–mixed Rossby–gravity (MRG) and equatorial Rossby (ER) waves over the western North Pacific based on observations. This part investigates the interaction of these waves with the MT through a diagnostics of energy conversion that separates the effect of the MT on TD–MRG and ER waves. It is found that the barotropic conversion associated with the MT is the most important mechanism for the growth of eddy energy in both TD–MRG and ER waves. The large rotational flows help to maintain the rapid growth and tilted horizontal structure of the lower-tropospheric waves through a positive feedback between the wave growth and horizontal structure. The baroclinic conversion process associated with the MT contributes a smaller part for TD–MRG waves, but is of importance comparable to barotropic conversion for ER waves as it can produce the tilted vertical structure. The growth rates of the waves are much larger during strong MT years than during weak MT years. Numerical experiments are conducted for an idealized MRG or ER wave using a linear shallow-water model. The results confirm that the monsoon background flow can lead to an MRG-to-TD transition and the ER wave amplifies along the axis of the MT and is more active in the strong MT state. Those results are consistent with the findings in Part I. This indicates that the mean flow of the MT provides a favorable background condition for the development of the waves and acts as a key energy source.

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