Circulation flow around airfoils by a steady plane-parallel flow of a heavy liquid of finite depth with a free surface

2000 ◽  
Vol 41 (3) ◽  
pp. 470-478 ◽  
Author(s):  
K. E. Afanas'ev ◽  
S. V. Stukolov
Keyword(s):  
Free Surface ◽  
Finite Depth ◽  
Parallel Flow ◽  
Heavy Liquid ◽  
Circulation Flow ◽  
Plane Parallel ◽  
Steady Plane

Steady plane-parallel flow of a magnetic fluid

1984 ◽  
Vol 19 (6) ◽  
pp. 907-914 ◽  
Author(s):  
D. V. Lyubimov ◽  
T. P. Lyubimova
Keyword(s):  
Magnetic Fluid ◽  
Parallel Flow ◽  
Plane Parallel ◽  
Steady Plane

Steady plane-parallel flow of an anomalously viscous fluid between parallel plates

1968 ◽  
Vol 1 (6) ◽  
pp. 82-85 ◽  
Author(s):  
R. V. Torner ◽  
L. F. Gudkova ◽  
I. K. Nikolaev
Keyword(s):  
Viscous Fluid ◽  
Parallel Flow ◽  
Parallel Plates ◽  
Plane Parallel ◽  
Steady Plane

Deformation-free form error measurement of thin, plane-parallel optics floated on a heavy liquid

2010 ◽  
Vol 49 (10) ◽  
pp. 1849 ◽  
Author(s):  
Jiyoung Chu ◽  
Ulf Griesmann ◽  
Quandou Wang ◽  
Johannes A. Soons ◽  
Eric C. Benck
Keyword(s):  
Heavy Liquid ◽  
Free Form ◽  
Error Measurement ◽  
Form Error ◽  
Plane Parallel

scholarly journals Developments in plane parallel flow channel cells

2019 ◽  
Vol 16 ◽  
pp. 10-18 ◽  
Author(s):  
F.C. Walsh ◽  
L.F. Arenas ◽  
C. Ponce de León
Keyword(s):  
Parallel Flow ◽  
Flow Channel ◽  
Plane Parallel

Improved linear representation of surface waves. Part 2. Slowly varying bottoms and currents

1994 ◽  
Vol 261 ◽  
pp. 65-74 ◽  
Author(s):  
Jon Wright ◽  
Dennis B. Creamer
Keyword(s):  
Free Surface ◽  
Nonlinear Effects ◽  
Linear Representation ◽  
Finite Depth ◽  
Transformation Method ◽  
Leading Order ◽  
Short Waves ◽  
Hamiltonian Theory ◽  
Lie Transformation ◽  
Correct Implementation

We extend the results of a previous paper to fluids of finite depth. We consider the Hamiltonian theory of waves on the free surface of an incompressible fluid, and derive the canonical transformation that eliminates the leading order of nonlinearity for finite depth. As in the previous paper we propose using the Lie transformation method since it seems to include a nearly correct implementation of short waves interacting with long waves. We show how to use the Eikonal method for slowly varying currents and/or depths in combination with the nonlinear transformation. We note that nonlinear effects are more important in water of finite depth. We note that a nonlinear action conservation law can be derived.

EFFECTS OF SURFACE TENSION ON TRAPPED MODES IN A TWO-LAYER FLUID

2015 ◽  
Vol 57 (2) ◽  
pp. 189-203 ◽  
Author(s):  
S. SAHA ◽  
S. N. BORA
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Circular Cylinder ◽  
Boundary Value Problems ◽  
Finite Depth ◽  
Trapped Modes ◽  
Trapped Waves ◽  
Linearized Theory ◽  
Horizontal Circular Cylinder ◽  
Effect Of Surface

We consider a two-layer fluid of finite depth with a free surface and, in particular, the surface tension at the free surface and the interface. The usual assumptions of a linearized theory are considered. The objective of this work is to analyse the effect of surface tension on trapped modes, when a horizontal circular cylinder is submerged in either of the layers of a two-layer fluid. By setting up boundary value problems for both of the layers, we find the frequencies for which trapped waves exist. Then, we numerically analyse the effect of variation of surface tension parameters on the trapped modes, and conclude that realistic changes in surface tension do not have a significant effect on the frequencies of these.

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