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 (electroneutrality or Poisson's law) and a constitutive equation linking current density and ion...
At the left edge, the density is relatively low and the velocity is relatively low, causing a small inflow of fluid. The x-derivative of ρvx is positive. This is the crucial contribution to ∇ * (ρv); the other two contributions vanish in this example. We have a net outflow of ...
342 It can be derived from momentum equation and equation of continuity, and further simplified using adiabatic ideal gas law. In a fluid, the rigid body equation of motion F=mdv/dt is differentiated with respect to volume, giving f=ρ Dv/Dt, where f is the force density and ρ is ...
百度试题 结果1 题目 In the momentum equation, for steady flow the net force on the fluid mass is equal to the net rate of outflow of momentum across the control surface. ()A.对B.错 相关知识点: 试题来源: 解析 A 反馈 收藏 ...
This survey concerns a causal elastic wave equation which implies frequency power-law attenuation. The wave equation can be derived from a fractional Zener stress-strain relation plus linearized conservation of mass and momentum. A connection between thi
aThe conservation of momentum in an inertial (non-accelerating) reference frame may be described by equation (10). In this equation, P is the static pressure, s is the stress tensor (described by equation (11)), and and . are the gravitational body force and external body forces, respectiv...
in which f represents external force per unit volume. In the derivation of the homogeneous, linearized, wave equation in Chapter 3, the linearized equation of conservation of mass was differentiated with respect to time and the linearized equations of conservation of momentum were differentiated with...
That is, the force acts in a direction opposite to the spatial change of potential, similar to an induced current in a coil producing a magnetic field to counter the temporal change of the magnetic field linking the coil. This is an act of conservation of energy; without the minus sign, ...
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