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When considering a surge wave in a channel it is easiest to consider it using a Moving Frame of Reference moving at the surge wave velocity because:
The typical frequency of a tidal wave is:
Euler’s Equation defines unsteady flow, shown below.
Which terms represent which component:
Transitional Water waves occur when
Long wave motion is often used in hydraulics where the pressure is hydrostatic and waves are small because this linearises the SWE to form a sine Wave solution. For this to occur:
A wave's frequency is the inverse of its period.
Wave velocity is defined as: