Abstract

This paper presents a theoretical investigation of the energy velocity of complex harmonic plane waves in viscous fluids. The complex harmonic plane wave, which is characterized by a complex wave vector and a complex frequency, may propagate in absorbing fluids. The initial nonconservative energy balance equation is modified into another energy equation, in which the new loss density is, on average, nil. It appears that the energy velocity, which is defined from this system that is conservative on average only, is not always oriented along the phase velocity direction. More precisely, the energy velocity may be interpreted as the phase velocity in the direction of the real part of the slowness bivector.

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