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 Nernst–Planck equation is a conservation of mass describing the flux of ions under the influence of both an ionic concentration gradient and an electric field. From: Fuel Cells for Transportation, 2023 About this pageSet alert Discover other topics On this page Definition Chapters and Articles...
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...
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 ...
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The flux linkage 𝛹(𝑡)=𝑥1(𝑡)Ψ(t)=x1(t) has a constant component that decays very slowly in subsequent periods of the supply voltage, with simultaneous large changes in the primary current. The choice of a numerical tool for solving the problem of stiff differential equations ...
Magnetic flux is formally calculated as an integral, but the magnetic flux equation can also be calculated as the dot product of the magnitude of a magnetic field and an area, Φ=|B|Acos(θ), where Φ stands for the magnetic flux and θ is the angle between the magnetic field and the...
The need for accurate representation of solutions to partial differential equations (PDEs) – that take complex geometry into account – appears frequently in real-world science and engineering applications. Some applications largely involve smooth fields, such as free surface dispersive wave propagation,...
For example, you see the analysis in a minimal surface equation, but then you also realize it has connections with other geometric questions that are not just analysis. I am definitely very attracted to the idea that there are a lot of different facets in mathematics and seeing the ...
Numerical simulation for biviscosity fluid flow through a porous medium under the effects of variable properties In this article, in the study of non-Newtonian fluid flow, heat and mass transfer underlying an axisymmetric spreading surface through a porous medium is a... NS Elgazery - 《Special...