A simple method for deducing properties of laminar wall jets in uniform pressure fields, with undetermined far-field conditions

2008 ◽  
Vol 20 (2) ◽  
pp. 023601
Author(s):  
F. Candelier ◽  
H. Bournot
Keyword(s):  
Field Conditions ◽  
Far Field ◽  
Uniform Pressure ◽  
Wall Jets ◽  
Simple Method ◽  
Pressure Fields

Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann–Ogden surface model

2020 ◽  
Vol 25 (10) ◽  
pp. 1904-1923
Author(s):  
Youxue Ban ◽  
Changwen Mi
Keyword(s):  
Flexural Rigidity ◽  
Elastic Stiffness ◽  
Surface Model ◽  
Far Field ◽  
Stress Concentrations ◽  
Equilibrium Equations ◽  
Legendre Series ◽  
Simple Method ◽  
Shear Moduli ◽  
Special Cases

For a solid surface or interface that is subjected to transverse loading, the influence of its flexural resistibility to bending deformation becomes significant. A spherical inhomogeneity or void embedded in an infinite elastic medium under the application of nonhydrostatic loads represents a typical example. In this work, we consider the most fundamental loading of a far-field unidirectional tension. Analytical displacements and stresses are developed by the coupling of a Steigmann–Ogden surface mechanical model, the simple method of Boussinesq displacement potentials, the semi-inverse method of elasticity, and Legendre series representations of spherical harmonics. The problem is then solved by converting the equilibrium equations of displacement into a linear system with respect to the Legendre series coefficients. The developed solutions are general in the sense that they may reduce to their classical or Gurtin–Murdoch counterparts as special cases. Analytical expressions reveal that the derived solution depends on four dimensionless ratios from among surface material parameters, shear moduli ratio, and inhomogeneity or void radius. In particular, instead of depending on both flexural parameters in the moment–curvature relation, one fixed combination is sufficient to represent the surface flexural rigidity. This is in contrast with the influence of the in-plane elastic stiffness, in which both surface Lamé parameters matter. Parametric studies further demonstrate that, for metallic inhomogeneities or voids with radii between 10 nm and 100 nm, the effects of surface flexural rigidity on stress distributions and stress concentrations are significant.

A simple method for prediction of far-field pattern of mono-mode graded index fibers in the low V region

Optik ◽  
2016 ◽  
Vol 127 (13) ◽  
pp. 5295-5300
Author(s):  
Angshuman Majumdar ◽  
Subhalaxmi Chakraborty ◽  
Sankar Gangopadhyay
Keyword(s):  
Field Pattern ◽  
Far Field ◽  
Simple Method ◽  
Graded Index ◽  
V Region ◽  
Far Field Pattern

A simple method to assess the susceptibility of soils to form surface seals under field conditions

CATENA ◽  
1993 ◽  
Vol 20 (3) ◽  
pp. 247-256 ◽  
Author(s):  
Dipl.-Geol. Heiko Bohl ◽  
Christian H. Roth
Keyword(s):  
Field Conditions ◽  
Simple Method

scholarly journals A Simple Method for Determination of Plasma Thiocyanate

1988 ◽  
Vol 25 (4) ◽  
pp. 422-423 ◽  
Author(s):  
M Falkensson ◽  
P Lundquist ◽  
H Rosling ◽  
B Söurbo
Keyword(s):  
Sodium Hypochlorite ◽  
Perchloric Acid ◽  
Coupling Agent ◽  
Barbituric Acid ◽  
Field Conditions ◽  
Glass Capillary ◽  
Capillary Tubes ◽  
Simple Method

We describe a method for the determination of thiocyanate in plasma from blood collected under field conditions in heparinised glass capillary tubes. After deproteinisation of plasma with perchloric acid, thiocyanate is directly determined colorimetrically by the König reaction with sodium hypochlorite as the chlorinating reagent and barbituric acid as the coupling agent. This simple method cannot be applied to urine as the latter contains interfering compounds.

Force Distribution Dependence of Sound Radiation From a Doubly Rib-Stiffened Plate

1999 ◽  
Author(s):  
David Feit ◽  
Daniel DiPerna
Keyword(s):  
Sound Pressure ◽  
Single Point ◽  
Force Distribution ◽  
Velocity Spectrum ◽  
Far Field ◽  
Pressure Fields ◽  
Coherent Interaction ◽  
Line Force ◽  
Reaction Forces ◽  
Analytical Formulae

Abstract Analytical formulae for both the velocity spectrum and the acoustic far-field radiated sound pressure for a doubly rib-stiffened (small frames and bulkheads) fluid-loaded elastic plate, excited by several different force distributions, are derived. The force distributions are (1) a line-force applied at a single point and (2) two Gaussian distributed force intensities whose effective width either spans the small rib spacing or the large rib spacing. The far-field sound pressure as a function of frequency is calculated. The concentrated line force case shows evidence of frame interference effects (sometimes referred to as Bloch waves) in the radiated pressure fields. These arise from coherent interaction of the pressure fields emanating from the frame reaction forces and the applied force pressure field. The frequencies at which these coherence effects are manifest depend on the stiffeners’ spacing as compared to the fluid-loaded flexural wavelength. The Gaussian force distribution eliminates these interaction effects depending on whether or not the effective force width is greater or less than the respective rib spacing.

Sign in / Sign up

Export Citation Format

Share Document