Practical Ship Hydrodynamics

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264 Practical Ship Hydrodynamics The weight terms E˛ ð EG and Ex g ð ⊲E˛ ð EG⊳ contribute with W D mg: ⎡ 0 ⎢ 0 ⎢ 0 ⎢ 0 ⎣ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 W 0 zgW 0 xgW W 0 0 0 zgW ⎤ 0 ⎧ ⎫ u1 0⎥ 0 ⎥ ⎪⎨ u2 ⎪⎬ ⎥ u3 0 ⎥ u4 0 ⎦ ⎪⎩ u5 ⎪⎭ 0 u6 The mass terms m⊲Eutt CE˛tt ðEx g⊳ and m⊲Ex g ðEutt⊳ IE˛tt contribute: m ∂2 ∂t 2 ⎡ 1 ⎢ 0 ⎢ 0 ⎢ 0 ⎢ ⎣ 0 1 0 zg 0 0 1 0 0 zg 0 k zg 0 xg 0 xg 0 2 x 0 k2 zg 0 xg 0 k xz 2 y 0 0 xg 0 k2 xz 0 k2 ⎤ ⎧ ⎥ ⎪⎨ ⎥ ⎦ ⎪⎩ z where the radii of inertia k have been introduced, e.g. 2x D mk 2 x etc. u1 u2 u3 u4 u5 u6 ⎫ ⎪⎬ ⎪⎭
References Abbott, I. and Doenhoff, A. (1959). A theory of wing sections. Dover Publ. Allison, J. (1993). Marine waterjet propulsion. Trans. SNAME 101, pp. 275–335 Anep II-I (1983). Standardized wave and wind environments for NATO operational areas. Allied Naval Engineering Publication Bertram, V. (1992). Wellenwiderstandsberechnung für SWATH-Schiffe und Katamarane. Jahrbuch Schiffbautechnische Gesellschaft, Springer, pp. 343–351 Bertram, V. (1998a). Marching towards the numerical ship model basin. Euromech Conf. 374, Poitiers, pp. 3–17 Bertram, V. (1998b). Numerical investigation of steady flow effects in three-dimensional seakeeping computations. 22. Symp. Naval Hydrodynamics, Washington Bertram, V. (1999). Panel methods for wave resistance computations. 31. Wegemt school ‘CFD for ship and offshore design’, WEGEMT, London Bertram, V. and Jensen, G. (1994). Recent applications of computational fluid dynamics. Ship Technology Research 41/3, pp. 131–134 Bertram, V. and Thiart, G. (1998). A Kutta condition for ship seakeeping computations with a Rankine panel method. Ship Technology Research 45, pp. 54–63 Bertram, V. and Yasukawa, H. (1996). Rankine source methods for seakeeping problems. Jahrbuch Schiffbautechnische Gesellschaft, Springer, pp. 411–425 Blendermann, W. (1998). Parameters of the long-term wind conditions above the oceans, Ship Technology Research 45, pp. 99–104 Bohlmann, H. J. (1989). Vorausberechnung des Bewegungsverhaltens von Ubooten. Jahrbuch Schiffbautechnische Gesellschaft, Springer Bohlmann, H. J. (1990). Berechnung hydrodynamischer Koeffizienten von Ubooten zur Vorhersage des Bewegungsverhaltens. IfS Report 513, Univ. Hamburg Breslin, J. P. and Andersen, P. (1994). Hydrodynamics of Ship Propellers. Cambridge University Press Brix, J. (ed.) (1993). Manoeuvring technical manual. Seehafen-Verlag Brix, J., Nolte, A. and Heinzel, S. (1971). Konstruktive Maßnahmen zur Verhinderung der Kavitation an der Rudersohle. Hansa 16, pp. 1579–1587 Cao, Y., Schultz, W. and Beck, R. F. (1991). Three-dimensional desingularized boundary integral methods for potential problems. Int. J. Num. Methods in Fluids 12, pp. 785–803 Chang B. C. and Blume, P. (1998). Survivability of damaged roro passenger vessels. Ship Technology Research 45, pp. 105–117 Chapman, R. B. (1975). Free-surface effects for yawed surface piercing plates. J. Ship Research 20, pp. 125–132 Chuang, S. L. (1967). Experiments on slamming of wedge-shaped bodies. J. Ship Research 11, pp. 190–198 Chung, T. J. (1978). Finite element analysis in fluid dynamics. McGraw-Hill Clarke, D., Gedling, P. and Hine, G. (1983). The application of manoeuvring criteria in hull design using linear theory. The Naval Architect, pp. 45–68 Faltinsen, O. (1993). Sea loads on ships and offshore structures. Cambridge University Press Ferziger, J. H. and Peric, M. (1996). Computational methods in fluid dynamics. 2nd edn, Springer Goodrich, G. J. and Molland, A. F. (1979). Wind tunnel investigation of semi-balanced ship skeg rudders. Naval Architect, pp. 285–301 265
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Practical Ship Hydrodynamics
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Butterworth-Heinemann Linacre House
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3 Resistance and propulsion .......
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5.4.5 Interaction of rudder and shi
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Preface The first five chapters giv
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1 Introduction Models now in tanks
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Introduction 3 certain investigatio
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Introduction 5 there have been prop
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Introduction 7 is a material consta
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Introduction 9 margin may make a di
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Introduction 11 solution either. Ev
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Introduction 13 in naval architectu
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Introduction 15 ž Finite differenc
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Introduction 17 makes seakeeping pr
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Introduction 19 ship. Inner flow co
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Introduction 21 performed on workst
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Introduction 23 experts, while boun
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Introduction 25 two more decades be
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Introduction 27 Figure 1.3 A cylind
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Introduction 29 resolved by conside
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Introduction 31 ž LSOR (line succe
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Introduction 33 flow direction. CDS
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Introduction 35 equation, i.e. the
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2 Propellers 2.1 Introduction Ships
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Propellers 39 ž rake iG The face o
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KT KQ h 10 . K Q K T Figure 2.3 Pro
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Propellers 43 methods or panel meth
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Propellers 45 This formula can be i
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Propellers 47 power. The earliest l
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Propellers 49 corrected subsequentl
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Propellers 51 flow computations are
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Propellers 53 occurs earlier, as ca
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Propellers 55 2.5.2 Open-water test
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Propellers 57 the traditional prope
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Propellers 59 (model/full-scale shi
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Propellers 61 represents the cavity
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Resistance and propulsion 63 1. The
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Resistance and propulsion 65 3.1.2
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Figure 3.3 Double-body flow y Wave
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Resistance and propulsion 69 course
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Resistance and propulsion 71 limite
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Table 3.1 Recommended values for CA
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Resistance and propulsion 75 3.2.6
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P B ⋅ 10 3 (kW) 40 30 20 10 0 n P
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Resistance and propulsion 79 t is t
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Resistance and propulsion 81 are no
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3.4 Simple design approaches Resist
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Resistance and propulsion 85 of the
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Resistance and propulsion 87 non-li
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Resistance and propulsion 89 resist
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Resistance and propulsion 91 (doubl
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Resistance and propulsion 93 only b
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Resistance and propulsion 95 resist
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Resistance and propulsion 97 1°. S
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Ship seakeeping 99 3. Addition of t
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Ship seakeeping 101 1. No recording
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Ship seakeeping 103 Re denotes the
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Ship seakeeping 105 the ship axis x
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Ship seakeeping 107 The procedure t
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Ship seakeeping 109 If several ω r
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a 0.015 0.010 0.005 0 1 2 3 4 5 Uc/
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Ship seakeeping 113 The (only stati
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Ship seakeeping 115 height H1/3 for
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Ship seakeeping 117 using data of B
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Ship seakeeping 119 for each strip
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Ship seakeeping 121 between near fi
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Ship seakeeping 123 wave length of
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Ship seakeeping 125 The elements of
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Ship seakeeping 127 4.4.3 Rankine s
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Ship seakeeping 129 to zero. Then t
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Ship seakeeping 131 for commercial
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Ship seakeeping 133 Since the spect
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Ship seakeeping 135 ž The ωj are
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Ship seakeeping 137 changing sea sp
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Ship seakeeping 139 The wave impact
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Ship seakeeping 141 pressure gauges
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v(t) h(x,t) y u(x,t) Figure 4.23 On
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Ship seakeeping 145 computations wi
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Ship seakeeping 147 4. Derive the p
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Ship seakeeping 149 The free consta
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5 Ship manoeuvring 5.1 Introduction
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Ship manoeuvring 153 ž yaw rate (r
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Ship manoeuvring 155 Table 5.2 Non-
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Ship manoeuvring 157 but also the i
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C y 1.50 1.25 1.00 1.75 0.85 0.80 0
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Ship manoeuvring 161 section. The l
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Ship manoeuvring 163 methods have b
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esistance R is proportional to spee
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Ship manoeuvring 167 accuracy, but
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Ship manoeuvring 169 the difference
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Ship manoeuvring 171 it is importan
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d, y 20° 10° 0° −10° −20°
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Distance Lateral deviation Length o
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Ship manoeuvring 177 also performed
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Ship manoeuvring 179 ž Rudders out
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ehind the leading edge (nose) is: c
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Ship manoeuvring 183 the rudder. In
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Ship manoeuvring 185 attack ˛ of n
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V a /V 0.4 0.3 0.2 0.1 V a /V 2.0 1
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Ship manoeuvring 189 ž Rudder with
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average between VA and V1: � �
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C L (V corr ≠ V A ) C L (V corr =
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Ship manoeuvring 195 hull influence
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Ship manoeuvring 197 - Estimate the
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Ship manoeuvring 199 rudder tip vor
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Ship manoeuvring 201 (1993) uses de
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Ship manoeuvring 203 ž Profiles wi
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Ship manoeuvring 205 The ship perfo
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6 Boundary element methods 6.1 Intr
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C ⊲t1n3 C n1t3⊳⊲t3 xxz C s3 x
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xx D ⊲ 3 x⊲x xq⊳ ⊳/r 2 xy D
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Page 225 and 226: ∂ ∂z Boundary element methods 2
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Page 231 and 232: ⊲1⊳ y D � d 2 y d r 2 f ⊲c
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Page 235 and 236: 2 0 8xz D 2 2 0 8xxz D 2 2 0 8xzz D
Page 237 and 238: Figure 6.9 Velocities induced by po
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Page 247 and 248: Numerical example for BEM 237 S is
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Page 253 and 254: Numerical example for BEM 243 ž Tr
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Page 259 and 260: Table 7.1 Sign for derivatives of p
Page 261 and 262: z y Figure 7.5 Coordinate system us
Page 263 and 264: the contour (Fig. 7.5): n� iD1 i
Page 265 and 266: Numerical example for BEM 255 Let E
Page 267 and 268: Numerical example for BEM 257 At th
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Page 271 and 272: Numerical example for BEM 261 The i
Page 273: Numerical example for BEM 263 The e
Page 277 and 278: References 267 Morgan, W. B. and Li
Page 279 and 280: Index Actuator disk, 44 Added mass,
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