Effects of the Kelvin-Helmholtz surface instability on supersonic jets

Physics – Plasma Physics

Scientific paper

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Kelvin-Helmholtz Instability, Magnetohydrodynamic Waves, Particle Acceleration, Plasma Physics, Turbulent Jets, Amplitudes, Bessel Functions, Collisionless Plasmas, Perturbation, Phase Velocity, Surface Waves, Velocity Measurement

Scientific paper

An exact numerical calculation is provided for of linear growth and phase velocity of Kelvin-Helmholtz unstable wave modes on a supersonic jet of cylindrical cross section. An expression for the maximally unstable wavenumber of each wave mode is found. Provided a sharp velocity discontinuity exists all wave modes are unstable. A combination of rapid jet expansion and velocity shear across a jet can effectively stabilize all wave modes. The more likely case of slow jet expansion and of velocity shear at the jet surface allows wave modes with maximally unstable wavelength longer than or on the order of the jet radius to grow. The relative energy in different wave modes and effect on the jet is investigated. Energy input into a jet resulting from surface instability is discussed. Previously announced in STAR as N83-17379

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