scholarly journals An analytical model for the evaporation of multi-component spheroidal drops based on Stefan–Maxwell equations

2022 ◽  
Vol 171 ◽  
pp. 107223
Author(s):  
S. Tonini ◽  
G.E. Cossali
Keyword(s):  
Analytical Model ◽  
Maxwell Equations

Construction and Verification of Analytical Model for Eddy Current Testing Based on Multi-Layered Conductive Structures

2014 ◽  
Vol 1006-1007 ◽  
pp. 833-840
Author(s):  
Jin Li Sun ◽  
Zheng Long Li ◽  
Ying Min Yuan
Keyword(s):  
Analytical Model ◽  
Series Expansion ◽  
Eddy Current ◽  
Maxwell Equations ◽  
Integral Form ◽  
Current Sensor ◽  
Integral Expression ◽  
Time Harmonic ◽  
Impedance Variation ◽  
Different Thickness

Based on the Maxwell equations in time-harmonic conditions, analytical model for cylindrical coil above multi-layered conductive structures of infinite large is built, the general solution for integral expression of coil’s impedance is derived. As the complex computation and inconvenient adjustment for calculating precision of integral form, the truncated region eigenfunction expansion is adopted to derive the series expansion expression of coil’s impedance. Calculating precision is ensured by selecting the truncating radius and the number of summation terms properly. Use Mathematica and CIVA separately compute the impedance variation of coil above the single conductive layer of different thickness. The results are highly identical and verify the validity of series expansion expression. The expression can provide help for optimizing the parameters of eddy current sensor.

An Analytical Model of Micromachined Electromagnetic Inductive Contactless Suspension

2013 ◽  
Author(s):  
Kirill V. Poletkin ◽  
Alexsandr I. Chernomorsky ◽  
Christopher Shearwood ◽  
Ulrike Wallrabe
Keyword(s):  
Electromagnetic Field ◽  
Quadratic Form ◽  
Equilibrium Point ◽  
Analytical Model ◽  
Maxwell Equations ◽  
Proof Mass ◽  
Mutual Inductance ◽  
Coil System

The paper presents an analytical model of a micromachined electromagnetic inductive contactless suspension, which describes the dynamics of a levitated disk shaped proof mass in space, near an equilibrium point. The proof mass is levitated in an electromagnetic field created by a ring shaped coil. The model derives from the analysis of the set of Lagrange-Maxwell equations obtained for the proof mass-coil system in a general form. Also the condition for the stable levitation of the proof mass in space is developed and expressed in terms of coefficients of the quadratic form of a function of mutual inductance between the disk shaped proof mass and ring shaped coil.

ANALYTICAL MODEL OF SUPEREXCHANGE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-911-C8-912
Author(s):  
Yu. V. Rakitin ◽  
V. T. Kalinnikov
Keyword(s):  
Analytical Model

ANALYTICAL MODEL FOR ENVIRONMENTAL IMPACT OF SOLID WASTE DISPOSAL FROM ELECTRICITY GENERATION

2002 ◽  
Vol 4 (1-2) ◽  
pp. 26
Author(s):  
Paulo Fernando Lavalle Heilbron Filho ◽  
Jesus Salvador Perez Guerrero ◽  
Elizabeth May Pontedeiro ◽  
Nerbe J. Ruperti, Jr. ◽  
Renato M. Cotta
Keyword(s):  
Environmental Impact ◽  
Solid Waste ◽  
Analytical Model ◽  
Waste Disposal ◽  
Electricity Generation ◽  
Solid Waste Disposal
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