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Related Concept Videos

Excess Pressure Inside a Drop and a Bubble01:13

Excess Pressure Inside a Drop and a Bubble

The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
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Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
When measuring pressure at two different levels within the fluid, the difference in pressure...

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Modeling subharmonic response from contrast microbubbles as a function of ambient static pressure.

Amit Katiyar1, Kausik Sarkar, Flemming Forsberg

  • 1Department of Mechanical Engineering, University of Delaware, 130 Academy Street, Newark, Delaware 19701, USA.

The Journal of the Acoustical Society of America
|April 12, 2011
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Summary

Numerical simulations reveal that microbubble subharmonic response to ambient pressure can increase or decrease, challenging previous experimental findings. This variation is crucial for developing non-invasive blood pressure monitoring techniques.

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Area of Science:

  • Biomedical Engineering
  • Acoustics
  • Medical Imaging

Background:

  • Contrast microbubbles are used for non-invasive monitoring of organ-level blood pressure.
  • Previous studies showed a linear reduction in subharmonic response with increased ambient pressure.

Purpose of the Study:

  • To numerically investigate the variation of microbubble subharmonic response with ambient pressure.
  • To explore the underlying dynamics influencing this response.
  • To reconcile discrepancies between numerical models and experimental data.

Main Methods:

  • Numerical simulations using the BUBBLESIM code for encapsulated microbubbles.
  • Investigation of underlying dynamics using a free bubble model.
  • Analysis of the ratio of excitation frequency to natural bubble frequency.

Main Results:

  • Simulated subharmonic response can increase or decrease with ambient pressure, unlike previous experimental observations.
  • The frequency ratio (excitation to natural frequency) is a key determinant of response variation.
  • Three distinct trends in subharmonic response (monotonic decrease, monotonic increase, non-monotonic) were identified based on the frequency ratio, bubble radius, and excitation amplitude.

Conclusions:

  • The relationship between microbubble subharmonic response and ambient pressure is complex and depends on multiple factors.
  • Numerical models can predict varied responses, highlighting the need for further investigation into experimental discrepancies.
  • Accurate modeling is essential for advancing non-invasive blood pressure monitoring using contrast microbubbles.