2021
DOI: 10.1016/j.rinp.2021.103822
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A hollow exponential ultrasonic horn for aluminum melt degassing under power ultrasound and rotating flow field

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Cited by 8 publications
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“…Figure 4 shows the structural schematic of the stepped ultrasonic horn. When the simple harmonic vibration was applied on the stepped ultrasonic horn, the longitudinal wave vibration equation at the variable cross-section can be described as follows [31,40]:…”
Section: Ultrasonic Horn Designmentioning
confidence: 99%
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“…Figure 4 shows the structural schematic of the stepped ultrasonic horn. When the simple harmonic vibration was applied on the stepped ultrasonic horn, the longitudinal wave vibration equation at the variable cross-section can be described as follows [31,40]:…”
Section: Ultrasonic Horn Designmentioning
confidence: 99%
“…where K was the circular wavenumber, ๐พ = ๐œ” ๐‘ โ„ ; ๐œ” is the ultrasonic circular frequency, rad/s; ๐‘ was the longitudinal wave propagation velocity, ๐‘ = ๐ธ ๐œŒ โ„ , ๐ธ and ๐œŒ were the young's modulus and density of the ultrasonic horn material; ๐œ‰ was the displacement When the simple harmonic vibration was applied on the stepped ultrasonic horn, the longitudinal wave vibration equation at the variable cross-section can be described as follows [31,40]:…”
Section: Ultrasonic Horn Designmentioning
confidence: 99%