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Answer by mike stone for What is the Navier-Stokes Energy equation?

The kinetic energy equation for stationary flow is just Bernoulli:$$({\bf v}\cdot\nabla) \left(\frac 12 |{\bf v}|^2+ h\right)=0$$where $h$ is the enthalpy $E+PV$ per unit mass.For the thermal energy...

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What is the Navier-Stokes Energy equation?

I'm trying to understand the basics of fluid dynamics and the Navier-Stokes equations by following the short book A Mathematical Introduction to Fluid Dynamics by Chorin and Marsden (I'm an applied...

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Answer by Quint for What is the Navier-Stokes Energy equation?

I remember deriving the Energy Equation from the First Law of Thermodynamics when I took Continuum Mechanics. As I recall, the derivation required about 20 pages of tensor analysis, so there is no way...

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