the speed, V, of a free surface wave in shallow liquid is a function of depth
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In shallow water, the depth of the liquid is much less than the wavelength of the wave. This means that the wave speed is influenced primarily by the depth of the liquid. Show more…
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The speed, $V$, of a free-surface wave in shallow liquid is a function of depth, $D,$ density, $\rho,$ gravity, $g,$ and surface tension, $\sigma$. Use dimensional analysis to find the functional dependence of $V$ on the other variables. Express $V$ in the simplest form possible.
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