论文标题
具有热力学非平衡效应的阻尼声波的弱非线性波方程
A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects
论文作者
论文摘要
考虑了传播非线性声波的问题。从navier-stokes-duhem方程开始，连同连续性和热传导方程式从Navier-Stokes-Duhem方程开始获得迄今为止的解决方案。相反，此处报道的新方法采用了不连续的拉格朗日方法，即汉密尔顿的原理以及不连续的拉格朗日人，对于一般的粘性流程而言。结果表明，在不稳定流的假设下，由Euler-Lagrange方程引起的运动方程的合奏平均导致速度电位的弱非线性波方程：实际上，由于热力学非平衡效应，Kuznetsov众所周知的众所周知的众所周知的术语概括。
The problem of propagating nonlinear acoustic waves is considered; the solution to which, both with and without damping, having been obtained to-date starting from the Navier-Stokes-Duhem equations together with the continuity and thermal conduction equation. The novel approach reported here adopts instead, a discontinuous Lagrangian approach, i.e. from Hamilton's principle together with a discontinuous Lagrangian for the case of a general viscous flow. It is shown that ensemble averaging of the equation of motion resulting from the Euler-Lagrange equations, under the assumption of irrotational flow, leads to a weakly nonlinear wave equation for the velocity potential: in effect a generalisation of Kuznetsov's well known equation with an additional term due to thermodynamic non-equilibrium effects.
