Boundaries of applicability of the asymptotic expression for a wave propagating along a concave surface

1976 ◽  
Vol 6 (5) ◽  
pp. 510-523 ◽  
Author(s):  
V. S. Buldyrev ◽  
A. I. Lanin
Keyword(s):  
Asymptotic Expression ◽  
Concave Surface

Dependence of the joint configuration on the dynamic immobility fulcrum

2019 ◽  
pp. 108-114
Author(s):  
A. D. Kozlov ◽  
Yu. P. Potekhina
Keyword(s):  
Kinetic Energy ◽  
Convex Surface ◽  
The Other ◽  
Concave Surface ◽  
Joint Configuration ◽  
Articular Surfaces

Although joints with synovial cavities and articular surfaces are very variable, they all have one common peculiarity. In most cases, one of the articular surfaces is concave, whereas the other one is convex. During the formation of a joint, the epiphysis, which has less kinetic energy during the movements in the joint, forms a convex surface, whereas large kinetic energy forms the epiphysis with a concave surface. Basing on this concept, the analysis of the structure of the joints, allows to determine forces involved into their formation, and to identify the general patterns of the formation of the skeleton.

DOES THE KNUDSEN LAYER EXIST OVER A CONCAVE SURFACE?

2011 ◽  
Author(s):  
Ali Dinler ◽  
Robert W. Barber ◽  
David R. Emerson ◽  
Kamil Orucoglu
Keyword(s):  
Knudsen Layer ◽  
Concave Surface

HEAT TRANSFER ANALYSIS OF AN IMPINGING SLOT JET ON A CONCAVE SURFACE

2019 ◽  
Author(s):  
Gérard J. Poitras ◽  
A. Babineau ◽  
Gilles C. Roy ◽  
L.-E. Brizzi
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Analysis ◽  
Concave Surface

Surgical Management of Aural Haematoma in a Rabbit - A Case Report

2017 ◽  
Vol 12 (3) ◽  
Author(s):  
J. S. Shruthi ◽  
N. G. Amith ◽  
P. Priya ◽  
J. K. Pramodh ◽  
T. Chandrashekar
Keyword(s):  
Case Report ◽  
Blood Vessel ◽  
Surgical Management ◽  
Foreign Bodies ◽  
Concave Surface ◽  
Allergic Dermatitis ◽  
Chronic Irritation ◽  
Haematoma Formation

Aural haematoma is the collection of blood or serum within the cartilage plate of the ear pinna which presents as fluctuant, fluid-filled swelling on the concave surface of one or both the pinna (Fossum, 2007). It occurs as a result of constant shaking and rubbing of ear due to otitis, ectoparasitism, ottorrhoea, foreign bodies, hypersensitivity and allergic dermatitis. This chronic irritation, constant shaking and rubbing of the ear leads to rupture of the pinnal blood vessel resulting in haematoma formation (Ahiwar et al., 2007).

scholarly journals Retrieving curvature’s equation of a radially symmetric concave surface using Fizeau ring fringes

2021 ◽  
Vol 2 ◽  
pp. 100042
Author(s):  
A.S. El-Tawargy ◽  
W.A. Ramadan ◽  
M. Nawareg
Keyword(s):  
Concave Surface

Effect of microchannel on combined impingement and film cooling of a concave surface

2021 ◽  
Vol 126 ◽  
pp. 105441
Author(s):  
Ajay Kumar Jaiswal ◽  
Pallab Sinha Mahapatra ◽  
Bhamidi V.S.S.S. Prasad
Keyword(s):  
Film Cooling ◽  
Concave Surface

Axisymmetric Stokes flow past a spherical cap

1976 ◽  
Vol 75 (2) ◽  
pp. 273-286 ◽  
Author(s):  
J. M. Dorrepaal ◽  
M. E. O'neill ◽  
K. B. Ranger
Keyword(s):  
Vortex Ring ◽  
Stokes Flow ◽  
Concave Surface ◽  
Local Velocity ◽  
Oncoming Flow ◽  
Spherical Cap ◽  
Stream Surface ◽  
Flow Past ◽  
Mainstream Flow

The axisymmetric streaming Stokes flow past a body which contains a surface concave to the fluid is considered for the simplest geometry, namely, a spherical cap. It is found that a vortex ring is attached to the concave surface of the cap regardless of whether the oncoming flow is positive or negative. A stream surface ψ = 0 divides the vortex from the mainstream flow, and a detailed description of the flow is given for the hemispherical cup. The local velocity and stress in the vicinity of the rim are expressed in terms of local co-ordinates.

On the scattering of sound by two semi-infinite parallel staggered plates - I. Explicit matrix Wiener-Hopf factorization

1988 ◽  
Vol 420 (1858) ◽  
pp. 131-156 ◽  
Keyword(s):  
Asymptotic Expression ◽  
Series Representation ◽  
Auxiliary Function ◽  
Sound Waves ◽  
Parallel Plates ◽  
Hopf Equation ◽  
Product Decomposition ◽  
Matrix Kernel ◽  
Wave Fields ◽  
The Matrix

This paper discusses the two-dimensional scattering of sound waves by two semi-infinite rigid parallel plates. The plates are staggered, so that a line in the plane of the motion passing through both edges is not in general perpendicular to the plane of either plate. The problem is formulated as a matrix Wiener-Hopf functional equation, which exhibits the difficulty of a kernel containing exponentially growing elements. We show how this difficulty may be overcome by constructing an explicit product decomposition of the matrix kernel with both factors having algebraic behaviour at infinity. This factorization is written in terms of a single entire auxiliary function that has a simple infinite series representation. The Wiener-Hopf equation is solved for arbitrary incident wave fields and we derive an asymptotic expression for the field scattered to infinity; the latter includes the possibility of propagating modes in the region between the plates. In part II of this work we will evaluate our solution numerically and obtain some analytical estimates in a number of physically interesting limits.

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