Linear theory on temporal instability of megahertz faraday waves for monodisperse microdroplet ejection

Autor: S. C. Tsai, Chen S. Tsai
Rok vydání: 2013
Předmět:
Zdroj: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 60:1746-1755
ISSN: 0885-3010
DOI: 10.1109/tuffc.2013.2755
Popis: A linear theory on temporal instability of megahertz Faraday waves for monodisperse microdroplet ejection based on mass conservation and linearized Navier-Stokes equations is presented using the most recently observed micrometer- sized droplet ejection from a millimeter-sized spherical water ball as a specific example. The theory is verified in the experiments utilizing silicon-based multiple-Fourier horn ultrasonic nozzles at megahertz frequency to facilitate temporal instability of the Faraday waves. Specifically, the linear theory not only correctly predicted the Faraday wave frequency and onset threshold of Faraday instability, the effect of viscosity, the dynamics of droplet ejection, but also established the first theoretical formula for the size of the ejected droplets, namely, the droplet diameter equals four-tenths of the Faraday wavelength involved. The high rate of increase in Faraday wave amplitude at megahertz drive frequency subsequent to onset threshold, together with enhanced excitation displacement on the nozzle end face, facilitated by the megahertz multiple Fourier horns in resonance, led to high-rate ejection of micrometer- sized monodisperse droplets (>107 droplets/s) at low electrical drive power (
Databáze: OpenAIRE