By X. Wang (Eds.)

This publication makes a speciality of the computational and theoretical ways to the coupling of fluid mechanics and solids mechanics. particularly, nonlinear dynamical platforms are brought to the dealing with of complicated fluid-solid interplay platforms, For the previous few many years, many terminologies were brought to this box, particularly, flow-induced vibration, aeroelasticity, hydroelasticity, fluid-structure interplay, fluid-solid interplay, and extra lately multi-physics difficulties. in addition, engineering purposes are allotted inside various disciplines, comparable to nuclear, civil, aerospace, ocean, chemical, electric, and mechanical engineering. unfortunately, whereas every one specific topic is on its own very large, it's been tough for a unmarried booklet to hide in an inexpensive intensity and in the intervening time to attach a number of issues. In gentle of the present multidisciplinary learn desire in nanotechnology and bioengineering, there's an pressing desire for books to supply this kind of linkage and to put a beginning for extra really good fields. - Interdisciplinary throughout all kinds of engineering - accomplished research of fluid-solid interplay - Discusses complicated procedure dynamics derived from interactive structures - presents mathematic modeling of organic structures

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**Extra resources for Fundamentals of Fluid-Solid Interactions: Analytical and Computational Approaches**

**Example text**

167) dT . 168) T where q stands for the heat input per unit mass of gas. According to Joule’s experiments, the internal energy of a perfect gas is contained entirely within the molecule itself, as energy of translation and rotation, and the intermolecular forces are not important. Therefore, for a perfect gas, we have ∂e ∂v = 0. 169) T Employing Eq. 169), directly from Eq. 168), we define the specific heat at constant volume Cv as Cv = ∂q ∂T = v ∂e ∂T . 170) v Hence, integrating Eq. 170), assuming that the internal energy vanishes at zero temperature, which is in accordance with the third law of thermodynamics, we derive e = Cv T .

In numerical approaches for FSI problems, if we are to follow the moving boundaries, in order to avoid excessive mesh distortions we often need to arbitrarily select proper mesh motions using the so-called arbitrary Lagrangian–Eulerian (ALE) kinematic description for continuum media, in which the mesh position for the description of the state variables is neither fixed in space nor attached with material particles. Mass point and rigid body A point mass is a single mass point whose spatial dimension is negligibly small in comparison with the distances involved in the problem under consideration.

Aspects of Mathematics and Mechanics 46 Using Eq. 165), from Eq. 172), we can express the specific heat at constant pressure Cp as follows: Cp = ∂q ∂T = p d(pv) + Cv = R + Cv . 175) where so , To , and po represent the initial entropy per unit mass, temperature, and pressure. 176) we have Cv = R/(γ − 1). Hence, we can easily derive from Eqs. 177) where C is a constant. According to the basic principle in classical kinetic theory, the internal energy of each degree of freedom of the individual molecules of a gas can be expressed as KT /2, where K represents the Boltzmann constant.