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This is Froude's law. Where Cw is called wave-making resistance coefficient and Frude number.
Froude's law tells us that when the geometric shapes of the model ship and the real ship are similar and the Froude number is equal, then the wave-making resistance coefficients of the two will be equal.
Froude's law can also be expressed in another form: when the geometric shapes of the model ship and the real ship are similar and the Froude number is equal, the wave-making resistance per unit displacement of the two ships will be equal, that is, when Frm=Frs, there is such a relationship:
This relationship is also called Froude's comparison theorem.
Extended data
Application example:
The resistance performance test of the model of tilting trimaran is carried out. In this process, resistance tests were carried out under different loading angles and different lateral spacing of side shells. The influence of hull roll angle and load capacity on residual resistance coefficient under different Froude number and Reynolds number is analyzed and discussed.
The results show that under light load, when the Froude number is small and the lateral body tilts at a certain angle, the residual resistance coefficient increases slightly, and with the increase of speed, the residual resistance coefficient decreases to varying degrees.
The research shows that the design of side hull inclination angle is beneficial to reduce the navigation resistance of trimaran, and the relevant conclusions can provide reference for the practical application of inclined side hull trimaran in engineering.
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