Weakly nonlinear propagation of focused ultrasound in bubbly liquids with a thermal effect: Derivation of two cases of Khokolov–Zabolotskaya–Kuznetsoz equations
A physico-mathematical model composed of a single equation that consistently describes nonlinear focused ultrasound, bubble oscillations, and temperature fluctuations is theoretically proposed for microbubble-enhanced medical applications. The Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation that has...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2022-08-01
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Series: | Ultrasonics Sonochemistry |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1350417722000049 |