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The Euler equations - Fluid Dynamics

Chapter 11 The Euler Acceleration of a Fluid parcelIn order to write the equations of motion for a Fluid , we must place the ob-server in an inertial reference system. Then we have to applythe second principleof Dynamics (Newton s second law) to its parcels. This requires a suitable expres-sion for the acceleration of the parcels as a function of the velocity field. Bearin mind that when we speak of the acceleration of a parcel, we mean the timederivative of its velocity. But, according to the Eulerian approach, we need toexpress this quantity by means of a velocity field defined as a function of thetime and space are in the same situation encountered in section [ ] forthe evaluation ofthe time variation of a scalar property following the motionof the parcel.

be concentrated on the surface stresses. We have already studied the behavior of the pressure necessary for an hydrostatic equilibrium. Any change in the values of the pressure with respect to its hydrostatic distribution will give rise to some kind of motion. 11.2 The Euler equations The only forces present in a fluid at rest are the pressure ...

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