A simple mathematical model to simulate the temperature, pressure, and density distributions in intense turbulent compressible line vortices is reported. Based on the previous n=2 member of the n family of vortices, a wider-range model that includes the rudimentary combined features of turbulence and compressibility is built. In antithesis to the previous laminar theoretical approaches, where the converging flow cooled down monotonically with decreasing radius, it is now discovered that, far from the axis of rotation, the gas is first heated up, reaching a static temperature maximum that is higher than the ambient value; then, it chills down to a subambient minimum at the vortex center. The cause of this effect is recognized to be the outcome of competition between two fundamental mechanisms: gas heating because of mechanical dissipation, and cooling due to mainly fluid parcel’s dilation. Thus, the present investigation identifies the cause of the Ranque–Hilsch-like thermal effect observed in unconfined compressible vortices. In comparison to laminar vortices, the center of a turbulent gaseous vortex is found to be cooler, thinner, and under lower-pressure conditions. All thermodynamic properties are shown to be functions of the vortex Mach number and level of turbulence.
Thermal Properties of Compressible Line Vortices
Journal of aircraft ; 54 , 4
2017
Article (Journal)
English
Thermal Properties of Compressible Line Vortices
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