The complete system of equations includes the mass balance of ionic species, the conservation of mass (continuity equation) and momentum (Navier–Stokes equations), a condition for the net charge density (electr
The flow of electric charge is referred to as "electric current." Current is a measure of the movement of charged particles per unit of time. Although, once again, these particles are typically electrons. Electric current can be calculated using the electric current formula: I = V/R. This ...
space charge flow/ A0260 Numerical approximation and analysis A4180G Ion beams and ion opticsIntegral equations are used to calculate ion beams in a self-consistent space-charge-flow simulation. A charge-free solution is found, then an iterative process is used to determine new fields and the ...
2.(=linking)the equation of sth with sth→laidentificaciónde algo con algo Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005 ...
The equation of motion has two additional terms: centripetal acceleration [OMEGA]x([OMEGA]xu) due to time varying motion only and Corioli's acceleration 2[OMEGA]x [??], where u is the dynamic displacement vector. Effects of rotation on plane waves in a generalized thermoelastic solid half-...
This equation is a Lax pair equation, which is gener- ally connected to integrable systems and leads to an infinity amount of conserved charges [24–26]. In particular, since the trace of a commutator is zero, it follows from Eq. (16) that tr ( Qx) is a constant. More generally, ...
Numerical Solutions of the Action Equation for Electrostatic Space-charge Flow, with Axial SymmetryTwo types of electron flow are described which are given by solutions of the fiction equation. The solutions ore of the formdoi:10.1080/00207216508937844...
In the control-volume method, which is the focus of the present work, the equations governing the flow and heat/mass transfer are integrated in time and space over the volume shown in Figure 10.9. This operation takes the form (10.10)∫V{∂∂t(ρφ)+∂∂xj(ρujφ−Γφ∂∂...
Since the electric current carried by an ion is related to the electrophoretic mobility of the ion, the transference number of the ion is related to its flux across the medium. Eq. (11.3) can be rewritten as a function of the valence of charge and flux of the ionic species: (11.4)ti=...
it is a wave analog (in the frequency domain) of the Poisson equation (the case k = 0), which has in the right-hand side some function f(r) responsible for the spatial distribution of charges (or sources). This ″impulse response″ of the Helmholtz equation is a fundamental tool for...