Wave Analysis Techniques to Achieve Bow-Wave Reduction 



y = kgy Horizontal coordinate pointing to portside 

 z = kgZ Vertical coordinate positive upward 



CL^ Amplitude of the cosine component of an elementary tank wave, 

 see Eq. (8) 



/3j^ Amplitude of the sine component of an elementary tank wave, 

 see Eq. (8) 



= gL/2V^ Physical Froude number = L/2 



e^ Numerical factor = 1/2 for v -^ and 1 elsewhere 



^x,y) Wave height, free surface deformation 



^y(x,y) Transverse wave slope (partial derivative of ^ with respect 

 to y) 



d Direction of propagation of a component plane wave 



X(^) Wavelength of a component plane wave in its direction of 

 propagation 6 



V Tank wavenumber 



^^ Phase of elementary tank wave in a prescribed coordinate 

 system, see Eq. (9) 



P Density of water 



REFERENCES 



1. Yim, B., "Some Recent Developments in the Theory of Bulbous Ships," 

 Hydronautics Inc. Technical Report 117-6, Aug. 1964 



2. Inui, T., "Wave-Making Resistance of Ships," Trans. Soc. Naval Architects 

 and Marine Engineers 70:282-326,353 (1962) 



a. p. 345 



3. Takahei, T., "A Study on the Waveless Bow (Parts 1 and 2)," J. SNA Japan 

 108:289-297 (1960); 109:203-217 (1961) 



a. Part 2, p. 213 



4. Sharma, S.D., "A Comparison of the Calculated and Measured Free-Wave 

 Spectrum of an Inuid in Steady Motion," Proc. "International Seminar on 



765 



