Developments in offshore engineering: wave phenomena and by John B. Herbich

By John B. Herbich

Drawing from specialists and most sensible researchers from world wide, this publication offers present advancements in quite a few parts that impression offshore and ocean engineering.

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I ............................................................ 0 ! o . . . . . . . . . . . . . . . 0 ......................................... 0 0 I I 45 90 time 135 180 Figure 6. Dynamic pressures predicted at 2 ft off bottom at three gauge locations, x = 800, 100, and 1,200 ft. ,,. i ..............!............... o ................................................... i................................................................................................................................................................

Cambridge University Press, Cambridge, (1945, Dover, New York). Longuet-Higgins, M. S. and Cokelet, E. , 1976. "The Deformation of Steep Surface Waves on Water. " Proc. Roy. Soc. London A 350, pp. 1-26. Madsen, O. S. and Mei, C. , 1969. " J. Fluid Mech. 39, pp. 781-791. Mei, C. , 1983. Applied Dynamics of Ocean Surface Waves. Wiley, New York. Miles, J. , 1979.

To determine a meaning of this constant, we consider the mass flux per unit span given as u de = u o de = u o [3 = Q (54) Thus, the constant Q represents the mass flux per unit span. Integration of Equations 48 and 49 yields Pox 1133u2 x T 13x 13xx 1133 Po 1 132 T[313xx - -~ u0 u0 xx . . g + p 2 p ~/1+132x)3 (56) The pressure on the bottom is determined by p- = P 1132u0u0 --~ xx + 1 -~ 132 U2x+ TI3 xx p~J(l+132x)3 +gfl (57) Equation 55 may be integrated with respect to x as Po / P = - Q u0 + T +S (58) P l+13x where S is a constant of integration related to the momentum flux per unit span S* given by S*= f0~[p/p + u 2] d ~ = P 0 / p + Q u 0 (59) from which the relation between S and S* is now obvious; S may be interpreted as the momentum flux per unit span less the momentum defect due to the effect of surface tension.

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