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词汇 Cauchy momentum equation
分类 英语词汇 英语翻译词典
释义

Cauchy momentum equation

英语百科

Cauchy momentum equation

An example of convection. Though the flow may be steady (time-independent), the flow decelerates as it moves down the diverging duct (assuming incompressible or subsonic compressible flow), hence there is an acceleration happening over position.

The Cauchy momentum equation is a vector partial differential equation put forth by Cauchy that describes the non-relativistic momentum transport in any continuum. In convective (or Lagrangian) form it is written:

where \rho is the density at the point considered in the continuum (for which the continuity equation holds), \boldsymbol{\sigma} is the stress tensor, and \mathbf{g} contains all of the body forces per unit mass (often simply gravitational acceleration). \mathbf{u} is the flow velocity vector field, which depends on time and space.

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