A General Theory for Marine Propellers 



Dr. Wu has also asked how the linearized version of the present theory 

 compares with other linearized theories. In a lifting- surface theory based on 

 acceleration potential, the governing equation is the equation of motion 



Bq p • 



^^(qV)q=-V-. 



This equation is commonly linearized by dropping the nonlinear term 

 (qV)q. In our approach we simply move it to the right side as follows: 



which equation is valid in the whole fluid region where the vorticity is absent. 

 We achieve a linear governing equation by a substitution of variable <t> for 

 p/Pf + q^/2. We have only a linear equation to begin with; hence we cannot in 

 a meaningful manner define a linearized version of our theory. 



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