Acoustic shock and acceleration waves in selected inhomogeneous fluids. (October 2018)

• Record Type: Journal Article
• Authors: Keiffer, R.S.; Jordan, P.M.; Christov, I.C.
• Is Part Of: Mechanics research communications. Volume 93(2018)
• Page Start: 80
• Page End: 88
• Publication Date: 2018-10
• Subjects: Linear acoustics -- Inhomogeneous fluids -- Shock and acceleration waves -- Laplace transform; Mechanics, Applied -- Periodicals; Mécanique appliquée -- Périodiques; Mechanics, Applied; Periodicals; 530
• DOI: 10.1016/j.mechrescom.2017.11.003
• Languages: English
• ISSNs: 0093-6413

Abstract

Highlights: Shock and acceleration waves in inhomogeneous fluids are examined. Exact amplitude expressions are derived for three density profiles. Lamb's results on atmospheric acoustic propagation are extended. Abstract: Acoustic shock and acceleration waves in inhomogeneous fluids are investigated using both analytical and numerical methods. In the context of start-up signaling problems, and based on linear acoustics theory, we study the propagation of such waveforms in the atmosphere and in fluids that possess a periodic ambient density profile. It is shown that vertically running shock and acceleration waves in the atmosphere suffer amplitude growth. In contrast, those in the periodic-density fluid have bounded amplitudes that exhibit periodic, but non-trivial, oscillations; this is illustrated via a series of numerically generated profile-evolution plots, which were computed using the PyClaw software package.