The problem of surface depletion of a Gaussian plume has been formulated by Horst (1977). As in most models of deposition, the deposition flux, F(x,y) = v d C(x,y,z d ), at a given point in computed as the deposition velocity v d times the pollutant concentration, C(x,y,z d...
The first two equations give the value of the given flux through a closed surface, and the second two equations give the value of a line integral around a loop. In this notation, ∇=(∂/∂x, ∂/∂y, ∂/∂z) E is the electric vector, B is the magnetic induction, ...
The first equation expresses the fact that the vector a2P is solenoidal and hence its flux through a closed surface is zero. If we choose as the surface a flux tube limited by the surfaces ΔS0 and ΔS1, Fig. 1, we obtain Sign in to download full-size image Fig. 1. Illustration ...
Heat fluxis the amount of heat energy transferred through a surface in a unit area in unit time. The heat flux can be the amount of heat transferred from or dissipated on the surface of consideration. Heat flux is also known as thermal flux, heat flow density, heat flux density, or heat...
Specifically, we introduce the density and flux of Fisher information for general types of wave fields and identify the corresponding sources and sinks of information through which all these new quantities satisfy a fundamental continuity equation. We experimentally verify our theoretical predictions by ...
suggests the presence of a significant immobile moisture domain within the deep vadose zone that is not explainable by heterogeneity of Richards equation parameters, yet needs to be considered for simulating nitrate transport under conditions of cyclical infiltration with gravity dominated convective flux....
Among other conditions, we assume no current can flow through this boundary. For each and every ordinary boundary, we calculate the current across the boundary. We then time-step the equation. We choose units of length such that the droplet has unit radius....
),// Interpolates U onto the faces and does a dot product with the face area vectors// Yields a scalar representing rate of change of volume through each face, i.e. the flux//NOTE:the original implementation uses linearInterpolate(U); changed here to fvc::interpolate(U)// to show how...
The flux through the surfaceF= The line integral over the boundaryC 3. Direction Cosine Before we prove Stokes' theorem, we have to learnDirection Cosinefirst. For a vectorvin three-dimensional space, we defineαto be the cosine of the angle between v and the positive x-axis,βto be the...
Volume Surface Integral Equation method is the most common integral method for solving plasma sheath at present, and it is an important integral numerical method for solving electromagnetic scattering and radiation characteristics of radar targets. Compared with the surface integral equation method, the ...