For any given vessel, the values of the shape factors will be constant. Under this
condition, Po = PIN pDa will simply be a function of Re = pNDa |u and a function of Fr = DaN2/g. The effect of the Froude number Fr is manifested in the rising and lowering of the water when the vortex is formed. Thus, if vortex formation is prevented, Fr will not affect the power number Po and Po will only be a function of Re.
As mentioned before, the power given to the fluid is actually equal to the power dissipated as friction. In any friction loss relationships with Re, such as the Moody diagram, the friction factor has an inverse linear relationship with Re in the laminar range (Re < 10). The power number is actually a friction factor in mixing. Thus, this inverse relationship for Po and Re, is
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