LOS ULTRASONIDOS NO LINEALES EN LÍQUIDOS CON BURBUJAS: SIMULACIONES MEDIANTE UN MODELO POR ELEMENTOS FINITOS

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- Resonador en régimen lineal 10Pa

Se resuelve el sistema para el caso lineal tomando como amplitud de la fuente 10 Pa. En siguiente conjunto de imágenes se muestra la propagación de la presión dentro del resonador durante 22T en 25 instantes de tiempo.

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Fig.1. Presión dentro del resonador en régimen lineal durante 22T

- Resonador en régimen lineal 25000Pa

Se resuelve el sistema para el caso no lineal tomando como amplitud de la fuente 25000 Pa. En siguiente conjunto de imágenes se muestra la propagación de la presión dentro del resonador durante 22T en 25 instantes de tiempo.

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Fig.2. Presión dentro del resonador en régimen no lineal durante 22T

- Referencias

- Chemat, F.,Huma, Z. and Kamran Khan, M. Applications of ultrasound in food technology: Processing, preservation and extraction, Ultrason. Sonochem. 18, 813-835, (2011).

- Mason, T.J. and Lorimer, J.P. Applied sonochemistry: the uses of power ultrasound in chemistry and processing, Wiley-VCH, Weinheim, (2002).

- Riera Franco de Sarabia, E., Gallego Juárez, J.A., Rodríguez Corral, G., Elvira Segura, L. and González Gómez, I. Application of high-power ultrasound to enhance fluid/solid particle separation processes, Ultrasonics 38,642-646, (2000)

- Al-Bataineh, O.,Jürgen,J. and Huber, P. Clinical and future applications of high intensity focused ultrasound in cancer, Cancer treat. Rev. 38, 346-353, (2012).

- J. Wu, W.L. Nyborg (Eds.), Emerging therapeutic ultrasound, World Scientific (2006).

- Young, F.R. Cavitation, McGraw-Hill, London, (1989).

- Hamilton, M.F. and Blackstock, D.T. (Eds.) Nonlinear Acoustics, Academic Press, San Diego, (1998).

- Dähnke, S., Swamy, K. M. and Keil, F.J. Modeling of three-dimensional pressure fields in sonochemical reactors with an inhogeneous density distribution of cavitation bubbles. Comparison of theorical and experimental results, Ultrason. Sonochem. 6, 31-41, (1999).

- Dähnke, S., Swamy, K. M. and Keil, F.J. A comparative study on the modelling of sound pressure field distributions in a sonoreactor with experimental investigation, Ultrason. Sonochem. 6, 221-226, (1999).

- Nomura, S. and Nakagawa, M. Analysis of an ultrasonic fiend attenuated by oscillating cavitation bubbles, Acous. Sci. Technol. 22, 283-291, (2001).

- Yasui,K., Kozuka,T.,Tuziuti, T., Towata, A., Iida, Y.,King, John and Macey,P. FEM calculation of an acoustic field in a sonchemical reactor, Ultrason. Sonochem. 14, 605-614, (2007).

- Vanhille, C.,Campos-Pozuelo,C. and Conde,C. A Composed Numerical Model Applied to High Amplitude Ultrasonic Resonators, Acta Acust. United Acust.90, 376-379, (2004).

- Vanhille, C. and Campos-Pozuelo, C. Numerical simulation of nonlinear ultrasonic standing waves in bubbly liquids, Int. J. Nonlinear Sci. Numer. Simul.10 (6),751-757, (2009)

- Vanhille, C. and Campos-Pozuelo, Nonlinear ultrasonic standing waves: Two-dimensional simulatons in bubbly liquids, Ultrason. Sonochem. 18, 679-982, (2011).

- Vanhille, C. and Campos-Pozuelo, C. Numerical simulations