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Section_1_Intro_01
Section_1_Intro_01

... Short reviews of some of these topics will be provided at the appropriate times during the presentation. The validity of MHD as a mathematical model for magnetized plasmas has been discussed in great detail elsewhere, particularly in the book by Freidberg. It cannot be said better, so it will not be ...
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... Problem: A jet of liquid issues horizontally from a small orifice in the vertical side of the tank. Derive an expression for the actual velocity of the jet v if the jet falls a distance y vertically in a horizontal distance x measured from the vena contracta. If the head of liquid above the orifice ...
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Stokes wave



In fluid dynamics, a Stokes wave is a non-linear and periodic surface wave on an inviscid fluid layer of constant mean depth.This type of modelling has its origins in the mid 19th century when Sir George Stokes – using a perturbation series approach, now known as the Stokes expansion – obtained approximate solutions for non-linear wave motion.Stokes' wave theory is of direct practical use for waves on intermediate and deep water. It is used in the design of coastal and offshore structures, in order to determine the wave kinematics (free surface elevation and flow velocities). The wave kinematics are subsequently needed in the design process to determine the wave loads on a structure. For long waves (as compared to depth) – and using only a few terms in the Stokes expansion – its applicability is limited to waves of small amplitude. In such shallow water, a cnoidal wave theory often provides better periodic-wave approximations.While, in the strict sense, Stokes wave refers to progressive periodic waves of permanent form, the term is also used in connection with standing waves and even for random waves.
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