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Bubbles Dynamics in Liquid

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Non-equilibrium Evaporation and Condensation Processes

Part of the book series: Mathematical Engineering ((MATHENGIN))

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Abstract

The derivation of the generalized Rayleigh equation that describes the dynamics of a spherical gas bubble in a tube filled with an ideal liquid is given.

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Abbreviations

HN:

Homogeneous nucleation

MSBD:

Maximum stable bubble diameter

\(d_{b}\) :

Bubble diameter

\(l\) :

Length

\(p\) :

Pressure

\(\Delta p\) :

Pressure drop

\(r\) :

Radial coordinate

\({\text{Re}}\) :

Reynolds number

\(R\) :

Bubble radius

\(T\) :

Temperature

\(t\) :

Time

\(U, u\) :

Velocity

\({\text{We}}\) :

Weber number

\(z\) :

Axial coordinate

\(\upsilon\) :

Kolmogorov velocity microscale

\(\varepsilon\) :

Dissipation

\(\xi\) :

Darcy friction factor

\(\mu\) :

Dynamic viscosity

\(\nu\) :

Kinematic viscosity

\(\eta\) :

Kolmogorov length microscale

\(\rho\) :

Density

\(\sigma\) :

Surface tension

\(\infty\) :

State at infinity

\(*\) :

Critical

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Authors and Affiliations

  1. National Research Center, Kurchatov Institute, Moscow, Russia

    Dr. Yuri B. Zudin

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  1. Dr. Yuri B. Zudin
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Correspondence to Yuri B. Zudin .

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Zudin, Y.B. (2021). Bubbles Dynamics in Liquid. In: Non-equilibrium Evaporation and Condensation Processes. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-67553-0_16

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  • DOI: https://doi.org/10.1007/978-3-030-67553-0_16

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  • Online ISBN: 978-3-030-67553-0

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