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On the transport of energy in water waves - MIT

On The transport Of energy in water WavesMarshall P. TulinProfessor Emeritus, is developed and utilized for the calculation of the separate transport of kinetic, gravitypotential, and surface tension energies within sinusoidalsurface waves in water of arbitrary Section 1 it is shown that each of these three types of energy constituting the wave travel atdifferent speeds, and that the group velocity,cg, is the energy weighted average of these speeds,depth and time averaged in the case of the kinetic energy . It is shown that the time averagedkinetic energy travels at every depth horizontally either with (deep water ), or faster than the waveitself, and that the propagation of a sinusoidal wave is madepossible by the vertical transport ofkinetic energy to the free surface, where it provides the oscillating balance in surface energy justnecessary to allow the propagation of the wave.

On The Transport Of Energy in Water Waves Marshall P. Tulin Professor Emeritus, UCSB mpt6@cox.net Abstract Theory is developed and utilized for the calculation of the separate transport of kinetic, gravity potential, and surface tension energies within sinusoidal surface waves in …

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