It follows that the energy and momentum flux in this wave field only becomes significant at extremely short wavelengths where directional coupler technology is currently lacking.
12.
Although speculative, ideas such as coupling to the momentum flux of the zero-point electromagnetic wave field hypothesized in stochastic electrodynamics have a plausible basis for further investigation within the existing theoretical physics paradigm.
13.
The law of moment of momentum states that the sum of the moments of external forces acting on a fluid which is temporarily occupying the control volume is equal to the net time change of angular momentum flux through the control volume.
14.
For a known flow rate q, as shown by the figure below, the approximation that the momentum flux is the same just up-and downstream of the energy principle yields an expression of the energy loss in the hydraulic jump.
15.
In a frame of reference moving with the phase speed, in which reference frame the flow becomes a steady flow, the cnoidal wave solutions can directly be related to the mass flux, momentum flux and energy head of the flow.
16.
In the above relation for conservation of momentum, \ nabla \ cdot \ mathbf { \ sigma } is the "'momentum flux density "'and plays a role similar to \ mathbf { S } in Poynting's theorem.
17.
However, SED takes a rather more literal, classical interpretation, and views the very high energy density of the electromagnetic vacuum as propagating waves, which must necessarily carry considerable energy and momentum flux, ordinarily not evident in the absence of matter, because the flux is isotropic.
18.
In this steady flow, the discharge " Q " through each vertical cross section is a constant independent of " ? ", and because of the horizontal bed also the horizontal momentum flux " S ", divided by the density " ? ", through each vertical cross section is conserved.
19.
For the free-air case ( no ground plane ), it is found that the force-L'exerted by the airfoil on the fluid is manifested partly as momentum fluxes and partly as pressure differences at the outer boundary, in proportions that depend on the shape of the outer boundary, as shown in the diagram at right.
20.
Analysis of momentum flux in coastal regions can provide advisable infrastructure layout planning to minimize the potential hazards from extreme events such as storm surge, hurricane and tsunami ( e . g . ( Park et al . 2013 ), ( Yeh 2006 ), ( Guard et al . 2005 ) and ( Chanson et al . 2002 ) ).
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