Electromagnetic scattering by a subwavelength circular hole in a perfect metal plate of finite thickness: matched asymptotic expansion

2010 ◽  
Vol 27 (5) ◽  
pp. 1031 ◽  
Author(s):  
Ruey-Lin Chern ◽  
Chih-Yu Kuo ◽  
Hong-Wen Chen ◽  
Chien-Cheng Chang
Keyword(s):  
Asymptotic Expansion ◽  
Circular Hole ◽  
Electromagnetic Scattering ◽  
Finite Thickness ◽  
Metal Plate ◽  
Matched Asymptotic Expansion

scholarly journals The loss of energy in metal plates of finite thickness, due to eddy currents produced by alternating magnetic fields

1926 ◽  
Vol 111 (759) ◽  
pp. 604-614 ◽  
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Eddy Currents ◽  
Finite Thickness ◽  
Metal Plate ◽  
The Self ◽  
Alternating Magnetic Field ◽  
Metal Plates ◽  
Alternating Magnetic Fields

The induction of eddy currents in metal plates which are subjected to alternating magnetic fields has been discussed by Clerk-Maxwell, J. J. Thomson and many others. When an alternating magnetic field is produced normal to the surface of a metal plate, eddy currents are induced at the surface of the plate, which gradually penetrate its interior, the current dying away as it penetrates more deeply into the metal. The diffusion of the currents into the plate depends upon the self-induction and resistance of the paths along which they flow, and can be calculated by the same kind of formula as is used for determining the conduction of heat through a metal slab.

A micromechanical investigation of interfacial transport processes. I. Interfacial conservation equations

1993 ◽  
Vol 345 (1675) ◽  
pp. 165-207 ◽  
Keyword(s):  
Mass Transfer ◽  
Asymptotic Expansion ◽  
Control Volume ◽  
Transport Processes ◽  
Matched Asymptotic Expansion ◽  
Immiscible Fluid ◽  
Conservation Equations ◽  
Interfacial Transport ◽  
Fluid Systems ◽  
Expansion Scheme

Macroscale interfacial conservation equations are derived for transport processes occurring in immiscible fluid—fluid systems possessing moving and deforming interfaces via a rigorous matched asymptotic expansion scheme from the more exact, continuous (‘diffuse’) microscale equations underlying them . A surface-fixed coordinate system is developed for the parameterization of the interface, alleviating approximations which result when either a material or a space-fixed control volume is used to investigate systems undergoing interphase mass transfer.

The Accuracy of Short Bearing Theory in Presence of Cavitation

1990 ◽  
Vol 112 (4) ◽  
pp. 650-654 ◽  
Author(s):  
A. T. Prata ◽  
R. T. S. Ferreira
Keyword(s):  
Asymptotic Expansion ◽  
Numerical Integration ◽  
Reynolds Equation ◽  
Matched Asymptotic Expansion ◽  
Aspect Ratios ◽  
Very High

The accuracy of the short bearing approximation in presence of cavitation is tested for bearing aspect ratios (length/diameter) ranging from 0.1 to 1, and for eccentricity to clearance ratios from 0 to 1. Results for short bearings are obtained via the method of matched asymptotic expansion of [3]. These results are compared to those for finite bearings, which are calculated by numerical integration of the Reynolds equation utilizing boundary fitted coordinates that accommodate to the cavitation boundary. Except for very high eccentricities, the short bearing theory was shown to be accurate in predicting the load, within ten percent, for bearing aspect ratios up to 0.5. For large aspect ratios the short bearing theory overpredicts the load.

Sign in / Sign up

Export Citation Format

Share Document