Euler, Navier-Stokes, and Modified Equations of Motion and Their Connections to Schrodinger and Dirac Wave Equations of Quantum Mechanics

机译：Euler，Navier-Stokes和修正的运动方程及其与量子力学的Schrodinger和Dirac波方程的联系

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After the introduction of a scale invariant model of statistical mechanics, the exact relations between Euler, Navier-Stokes, and a modified form of equations of motions are described and their connections to Schrodinger and Dirac wave equations of quantum mechanics are discussed. The quantum mechanical foundation of the problem of turbulence is described and the phenomenon of turbulent dissipation in general and the role of Heisenberg spectral kinematic viscosity in such dissipation processes are examined. Also, the central role of vorticity in turbulent dissipation based on a modified form of Helmholtz vorticity equation is discussed. Finally, the scale invariant nature of Reynolds stresses are described and their role in the closure problem of turbulence are addressed.

机译：介绍了统计力学的尺度不变模型后，描述了欧拉，纳维尔-斯托克斯之间的精确关系以及运动方程的一种改进形式，并讨论了它们与量子力学的薛定inger和狄拉克波动方程的联系。描述了湍流问题的量子力学基础，并研究了湍流耗散的一般现象以及海森堡光谱运动粘度在这种耗散过程中的作用。此外，还讨论了基于修正形式的亥姆霍兹涡度方程的涡度在湍流耗散中的核心作用。最后，描述了雷诺应力的尺度不变性质，并讨论了它们在湍流闭合问题中的作用。

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《Advances in fluid mechanics amp; heat amp; mass transfer》|2012年|25|共1页
会议地点 Istanbul(TR)
作者
Siavash H. Sohrab;
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Robert McCormick School of Engineering and Applied Science Department of Mechanical Engineering Northwestern University Evanston, Illinois USA;

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正文语种 eng
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Euler, Navier-Stokes, and Modified Equations of Motion and Their Connections to Schrodinger and Dirac Wave Equations of Quantum Mechanics

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