Tq use the general solution presented graphically in Figures 2 and 

 3 the value of S^ is obtained from equation C28) 



The value of the parameter nko^^ may also be determined directly 

 from the information contained in Table 1 



nk £ - C0.435)(2tt) ^= (0.435) C2Tr) ||^ = 0.47 , [64) 



which is valid for the prototype as well as for the Froude model. It 

 is noticed that the value of nkQJi is sufficiently large for Figures 2 

 and 3 to be used. If nkgii had been below 0.1 the simplified formulas, 

 equations (35) and (36), should be used with S = 1.0. 



The remaining task is the determination of the friction factor, f, 

 from equation (57) . For the prototype conditions it is expected that 

 turbulent flow resistance dominates so that the factor Rc/Rj may be 

 neglected in equation (57). Therefore the remaining expression becomes: 



^ = FT V 1 ^ ^ Mr- ^J • 



(65) 



In this expression the value of 3 is taken according to equation 

 (52) with 6 = 2.7, a reasonable estimate as discussed in Section II. 3. 

 Thus, 



/ 16B , a^ „ 



-P ^ r / 1 1-n I £ TT 



^ = FT V 1 "-3^ TTd- h-- ^J 



o / n 



0.435 . /~ 16 ^ ^ 0.565 1.45 63 _ 



2v 63/366 V -^ ^ 3^ • ,q ^^^ 3 1.56 29.2 ^^ 



0.4 fv^I + 63 -1] = 2.8 . (66) 



This value of f is obtained for the prototype conditions assuming 

 Rd » Re where Rj is the particle Reynolds number defined by equation 

 (55) with |u| given by equation (37). To check this assumption the 

 value of X is obtained from equations (34) and (66) as 



43 



