Research Papers

Predictions of Temperature and Pressure Fields Due to Collapse of a Bubble in Sulfuric Acid Solution Under Ultrasound

[+] Author and Article Information
Ali Alhelfi

Department of Energy Sciences,
Lund University,
P.O. Box 118,
Lund SE-22100, Sweden

Bengt Sundén

Department of Energy Sciences,
Lund University,
P.O. Box 118,
Lund SE-22100, Sweden
e-mail: bengt.sunden@energy.lth.se

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received February 24, 2015; final manuscript received June 1, 2016; published online August 9, 2016. Assoc. Editor: Ali Siahpush.

J. Thermal Sci. Eng. Appl 8(4), 041010 (Aug 09, 2016) (6 pages) Paper No: TSEA-15-1050; doi: 10.1115/1.4034056 History: Received February 24, 2015; Revised June 01, 2016

A gas bubble under the influence of an ultrasonic field so strong to destroy any material due to high pressures and temperatures reached during the collapse is the topic of the present paper. In the current work, simulations have been performed to describe the radial dynamics of a gas (argon) bubble being strongly forced to periodic oscillation in a highly viscous liquid like aqueous sulfuric acid solution. The basic equations for nonlinear bubble oscillation in a sound field are given, together with a survey of some important existing studies. The hydrodynamics forces acting on the bubble are taken into account to consider the bubble dynamics under the action of a sound wave. The theory permits one to predict correctly the bubble radius–time behavior and the characteristics of a microsize bubble in sulfuric acid solutions, such as the peak temperature and pressure fields generated at this occasion.

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Fig. 1

The bubble motion as a function of time is described by the Keller–Kolodner equation. The bubble which has a spherical geometry with initial radius of 8.5 μm is considered to interact with acoustic field with a frequency of 26.5 kHz and amplitude of 1.075 bar, within a static, infinite, viscous, and compressible liquid. Figure adapted from Ref. [23].

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Fig. 2

The bubble oscillation under ultrasound

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Fig. 3

Calculated radius–time behavior of a cavitating bubble. The bubble is driven by a sinusoidal acoustic field.

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Fig. 4

Comparison of calculated radius–time behavior with experimental data [24]

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Fig. 5

The temperature distribution as a function of time at the bubble center

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Fig. 6

The pressure distribution as a function of time at the bubble center with logarithmic vertical axis

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Fig. 7

Bubble center pressure and temperature as a function of time during the collapse phase

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Fig. 8

The bubble surface velocity and acceleration as a function of time during the collapse phase




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