A technique for predicting relaxational effects on finite-amplitude wave propagation in liquid media

✍ Scribed by B.B. Cary; F.H. Fenlon

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 545 KB
• Volume: 13
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(70)81174-9

✦ Synopsis

A generalized Burgers' equation is derived which governs the propagation of finiteamplitude impulses in relaxing liquids. If the attenuation dependence on frequency is known, then, as is done in filter theory, a time domain representation can be found in operator form. As an illustrative example, the attenuation operator is constructed for sea water. The resulting Burgers' equation is then compared with a previously published variant of Burgers' equation which had been adopted for describing salt water relaxation effects on impulsive waveforms. It is concluded that the technique introduced here for incorporating relaxational effectsis valid for impulsesin generalwhereasthe earliermethod is restricted to waveforms whose chief spectral components satisfy the criterion WT < 1 where T is the relaxation time.