The Energy Balance in Axisymmetric Steady Compressible,
AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OH
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The core flow in axisymmetric steady compressible swirl flows with closed streamlines at high Reynolds numbers can be computed from equations in which the viscosity and the heat conductivity terms are omitted. Viscosity and heat conductivity, nevertheless, play a decisive role one must postulate that their long time effects vanish. In a flow, free of viscosity and heat conductivity, there exist certain quantities which are constant along the streamlines, namely the moment of momentum of the particles with respect to the axis of symmetry, the entropy and the total energy that is the constant in Bernoullis equation. In general, these quantities are not the same for all streamlines. If these functions are not properly chosen, then certain expressions computed from the inviscid flow field which can be interpreted as the longtime effects of heat conductivity and viscosity, are different from zero. Examples computed on this basis are analyzed from a thermodynamic point of view.