Advances in Fluid Mechanics IX by M. Rahman and C.A. Brebbia
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Advances in Fluid Mechanics IX by M. Rahman and C.A. Brebbia

The field of fluid mechanics is vast and has numerous and diverse applications in many areas of applied mathematics and engineering sciences. AFM 2012 is the ninth International Conference on Advances in Fluid Mechanics held in Split, Croatia in 2012. The conference is reconvened following the success of all previous meetings. The papers in this book cover a wide range of topics in the area of advances in fluid mechanics. The meeting was organised by the Wessex Institute of Technology, UK and the University of Split, Croatia.

The conference has reconvened every two years since 1996, and originated a very successful book series on the same topics which has resulted over 65 volumes since then. The first conference in this series took place in New Orleans, USA (1996); followed by Udine, Italy (1998); Montreal, Canada (2000); Ghent, Belgium (2002); Lisbon, Portugal (2004); Skiathos, Greece (2006); the New Forest, UK (2008); and the Algarve, Portugal (2010). The papers in the book are arranged in the following sections: Computational methods.

Environmental measurements; Hydrodynamics; Fluid Structure interaction; Multiphase flow; Applications in biology; Electronic components; Environmental fluid mechanics; Heat and mass transfer; and Industrial applications. This volume is part of the Transactions of Wessex Institute series, published in paper and digital format and distributed throughout the world. In addition, all papers are archived within Wessex Institute electronic library (http:// where they are permanently and easily available to the world scientific community.

The Editors are indeed indebted to all authors as well as the members of International Scientific Advisory Committee who helped review the papers. The Editors, Split, Croatia, 2012 This paper deals with the classical theory of the perturbation method to determine the solution of wave forces on a circular cylinder in regular waves. Nonlinear diffraction of water waves is considered here to demonstrate the powerful perturbation technique. The solution obtained by this method is compared with the available experimental data.

It is found that the analytical solution agrees with the experimental data quite well. When we talk about wave effects on offshore structures, it is necessary to distinguish between small and large dimensions in relation to the characteristic wavelength and the wave amplitude. It is well known that the Morison equation displayed an empirical relationship in terms of the coefficient of mass, CM , and of the coefficient of drag, CD, the two hydrodynamic coefficients used to calculate wave forces on a small submerged cylinder.

This relationship involves the inertia force and viscous drag force on the cylinder and assumes that the object is small so as not to disturb the incident wave field. However, as the diameter of the cylinder becomes large compared to the incident wavelength, the Morison equation does not apply and a diffraction theory must be used. In this case, viscous drag forces are assumed to be insignificant for smooth dimension structures (cylinders) and the inertia forces predominate. 

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