A bubble theorem
Physics Education
2007-05-23 v1
Abstract
Proof of a simple mathematical inequality using elements of surface tension theory and ideal gas law to the formation and coalescence of bubbles.
Cite
@article{arxiv.physics/0103015,
title = {A bubble theorem},
author = {Oscar Bolina and J. Rodrigo Parreira},
journal= {arXiv preprint arXiv:physics/0103015},
year = {2007}
}
Comments
Latex style convention for mathematics magazine
Related papers
View all related →
Classical Physics · Physics
Obtaining Laws of Thermodynamics for Ideal Gases using Elastic Collisions
Stephen Montgomery-Smith, Hannah Morgan
2013-05-30
Statistical Mechanics · Physics
Fluctuation theorem for the effusion of an ideal gas
B. Cleuren, C. Van den Broeck, R. Kawai
2007-05-23
Statistical Mechanics · Physics
Theory of the nonsteady diffusion growth of a gas bubble in a supersaturated solution of gas in liquid
A. P. Grinin, F. M. Kuni, G. Yu. Gor
2009-06-25
Analysis of PDEs · Mathematics
Asymmetric deformations of a perturbed spherical bubble in an incompressible fluid
Chen-Chih Lai, Michael I. Weinstein
2024-08-08
Fluid Dynamics · Physics
Inviscid coalescence of drops
L. Duchemin, J. Eggers, C. Josserand
2009-11-07
Fluid Dynamics · Physics
Tribonucleation of bubbles
Sander Wildeman, Henri Lhuissier, Chao Sun, Detlef Lohse +1
2016-04-18
Fluid Dynamics · Physics
Theory of the Antibubble Collapse
Denis Nikolaevich Sob'yanin
2015-03-16
Fluid Dynamics · Physics
The evolution of energy in flow driven by rising bubbles
Irene Mazzitelli, Detlef Lohse
2009-12-29
Fluid Dynamics · Physics
Interaction and coalescence of large bubbles rising in a thin gap
Sander G. Huisman, Patricia Ern, Véronique Roig
2019-09-13
General Physics · Physics
The mass and energy of a vapor bubble in a turbulent ideal fluid
Valery P. Dmitriyev
2007-05-23
Fluid Dynamics · Physics
Self-Propelled Detachment upon Coalescence of Surface Bubbles
Pengyu Lv, Pablo Peñas, Hai Le The, Jan Eijkel +3
2021-12-08
Fluid Dynamics · Physics
Convection in an ideal gas at high Rayleigh numbers
A. Tilgner
2015-05-28
Soft Condensed Matter · Physics
Thermodynamics and kinetics of vapor bubbles nucleation in one-component liquids
Nikolay V. Alekseechkin
2012-05-03
Soft Condensed Matter · Physics
Bubble statistics and coarsening dynamics for quasi-two dimensional foams with increasing liquid content
A. E. Roth, C. D. Jones, D. J. Durian
2013-04-16
Probability · Mathematics
Archimedes' principle for ideal gas
Krzysztof Burdzy, Jacek Małecki
2022-03-30
Cosmology and Nongalactic Astrophysics · Physics
Star formation laws and thresholds from ISM structure and turbulence
Florent Renaud, Katarina Kraljic, Frédéric Bournaud
2012-11-06
Fluid Dynamics · Physics
The Formation of a Bubble from a Submerged Orifice
Jonathan A. Simmons, James E. Sprittles, Yulii D. Shikhmurzaev
2023-07-19
Fluid Dynamics · Physics
The initial acceleration of a buoyant spherical bubble revisited
Dieter Bothe, Jun Liu, Pierre-Etienne Druet, Tomislav Maric +2
2025-07-08
Fluid Dynamics · Physics
Coalescence of bubbles in a viscoelastic liquid
Alexandros T. Oratis, Vincent Bertin, Jacco H. Snoeijer
2023-05-03
Soft Condensed Matter · Physics
Nematic Films and Radially Anisotropic Delaunay Surfaces
Bryan Gin-ge Chen, Randall D. Kamien
2009-03-10
Chemical Physics · Physics
Statistical Mechanics Basis of Macleod Formula
M. -E. Boudh-Hir, G. A. Mansoori
2017-12-14
Soft Condensed Matter · Physics
Structure and coarsening at the surface of a dry three-dimensional aqueous foam
A. E. Roth, B. G. Chen, D. J. Durian
2014-11-12
Computational Physics · Physics
Controlling bubble coalescence in metallic foams: A simple phase field-based approach
Samad Vakili, Ingo Steinbach, Fathollah Varnik
2020-07-14
Quantum Physics · Physics
Ideal Gas Law for a Quantum Particle
Alejandro M. F Rivas, Eduardo G. Vergini, Leonardo Ermann, Gabriel G. Carlo
2025-07-21
Statistical Mechanics · Physics
Fluctuation theorem for entropy production during effusion of a relativistic ideal gas
B. Cleuren, K. Willaert, A. Engel, C. Van den Broeck
2009-11-13