流体力学柱面坐标连续性方程推导Derivation continuity equation in cylindrical polar coordinate system
This chapter closes with the derivation of Green functions for cylindrical sectors and wedges as a separate family of boundary-value problems which require the introduction of special eigenvalue and eigenfunction sets.doi:10.1007/978-1-4757-3548-2_6Andreas Mandelis...
In this paper, the relationships between the transverse components and the longitudinal ones of electromagnetic fields in oxidic iron waveguides were derived in a cylindrical coordinate system. By applying the boundary conditions on the wall of a circular waveguide, the characteristic equation for the ...
Reflection coefficient derivation Starting from the output of the multilayer structure and using the formulas provided for impedance and admittance transformation through layers and interfaces, the input impedance and admittance can be obtained. Usually the load impedance is considered as the output wave ...
(39) Derivation of explicit analytical expressions. Equations (21) and (22) can be simplified by using approximations : E(1) ≈∑qζ i=1 i J 0 (ki r ) − αE(0) kir 2 J1(kir) cos (ωi t + αμ0ωirH (0)/2), (40...
The first one includes the bending waves through the shells considering the classical thin shell theory in derivation of governing equations. The second one was developed to consider one-dimensional plane wave through the two shells. Then, the effects of the air-gap size and the thickness ratio ...
complex coordinate stretching approachsymmetric hyperbolic system/ A4110H Electromagnetic waves: theory A0260 Numerical approximation and analysis B5210 Electromagnetic wave propagation B0290P Differential equations (numerical analysis)A simple and systematic derivation of strongly well-posed perfectly matched ...
A linear map $d$ of $A$ is called a $\\sigma$-derivation of $A$ if $d(xy) = d(x)y + \\sigma(x)d... J Repka,J Sánchez-Ortega - 《Mediterranean Journal of Mathematics》 被引量: 0发表: 2013年 Nonlinear $\\\sigma$-Model on Multidimensional Curved Space with Certain Cylindric...
The formalism also leads to an alternative derivation of Thomson's formulas for obliquely crossed spherocylindrical lenses.doi:10.1097/00006324-197601000-00005... Long,F William - 《Am J Optom Physiol Opt》 被引量: 332发表: 1976年 A system matrix for astigmatic optical systems: I. Introduction ...
On the reactor walls, n = 0 (heterogeneous chain termination), u = 0, v = 0, ρx = 0, Cx = 0, Tx = T0 where x is the dimensionless coordinate, the subscripts refer to partial derivation. The parameters were assumed to be ζ =7.5 (the order of magnitude of activation energy of...