Abstract
Many modern engineering processes involve various two-phase systems. This pertains, in particular, to the process of vapor generation and condensation (heat and nuclear energy industry), distillation and rectification (chemical engineering), as well as to various problems in refrigerating and cryogenic engineering. The present chapter will be concerned with two-phase systems of two limit types: gas (or vapor) bubbles in a flow of liquid (bubble flow) and liquid drops in a flow of gas (drop flow).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Rayleigh L (1917) On the pressure developed in a liquid during the collapse of a spherical cavity. Philos Mag 34:94–98
Plesset MS, Prosperetti A (1977) Bubble dynamics and cavitation. Ann Rev Fluid Mech 9:145–185
d’Agostino L, Salvetti MV (2008) Fluid dynamics of cavitation and cavitating turbopumps. Springer, Vien, New York
Zudin YB (1992) Analog of the rayleigh equation for the bubble dynamics in a tube. Inzh - Fiz Zh 63(1):28–31
Zudin YB (1995) Calculation of the rise velocity of large gas bubbles. Inzh-Fiz Zh 68(1):13–17
Zudin YB (2013) Analytical solution of the problem of the rise of a Taylor bubble. Phys Fluids 25(5):053302
Zudin YB (1998) Calculation of the drift velocity in bubbly flow in a vertical tube. Inzh-Fiz Zh 71(6):996–999
Freeden W, Gutting M (2013) Special functions of mathematical (Geo-)Physics. Appl Numer Harmonic Anal, Springer, Basel
Klaseboer E, Khoo BC (2006) A modified Rayleigh-Plesset model for a nonspherically symmetric oscillating bubble with applications to boundary integral methods. Eng Anal Bound Elem 30(1):59–71
Zudin YB, Isakov NS, Zenin VV (2014) Generalized rayleigh equation for the bubble dynamics in a tube. J Eng Phys Thermophys 87(6):1487–1493
Scripov VP (1974) Metastable Liquids. John Wiley & Sons, New York
Debenedetti PG (1996) Metastable liquids: concepts and principles. Princeton University Press, Princeton, New York
Perrot P (1998) A to Z of thermodynamics. Oxford University Press
Kashchiev D (2000) Nucleation: basic theory with applications. Butterworth-Heinemann, Oxford
Horst JH, Kashchiev D (2008) Rate of two-dimensional nucleation: verifying classical and atomistic theories by Monte Carlo simulation. J. Phys Chem B 112(29):8614–8618
Sekine M, Yasuoka K, Kinjo T, Matsumoto M (2008) Liquid–vapor nucleation simulation of Lennard-Jones fluid by molecular dynamics method. Fluid Dyn Res 40:597–605
Chao L, Xiaobo W, Hualing Z (2010) Molecular dynamics simulation of bubble nucleation in superheated liquid. In: Proceedings of the 14th international heat transfer conference IHTC14, Aug 7–13, Washington. IHTC14- 22129
Griffiths DJ (2005) Introduction to quantum mechanics. 2nd ed. Prentice Hall International
Guénault AM (2003) Basic superfluids. Taylor & Francis, London
Cumberbatch E, Uno S, Abebe H (2006) Nano-scale MOSFET device modelling with quantum mechanical effects. Eur J Appl Math 17:465–489
Keith AC, Lazzati D (2011) Thermal fluctuations and nanoscale effects in the nucleation of carbonaceous dust grains. Mon Not R Astron Soc 410(1):685–693
Zudin YB (1998) Calculation of the surface density of nucleation sites in nucleate boiling of a liquid. J Eng Phys Thermophys 71:178–183
Zudin YB (1998) The distance between nucleate boiling sites. High Temp 36:662–663
Moita AS, Moreira ALN, Roisman I (2010) Heat transfer during drop impact onto a heated surface. In: Proceedings of the ASME international heat transfer conference, IHTC—14, Washington DC, USA, 6:803–810
Perlekar P, Biferale L, Sbragaglia M, Srivastava S, Toschi F (2012) Droplet size distribution in homogeneous isotropic turbulence. Phys Fluids 24(6):065101
Scarbolo L, Bianco F, Soldati A (2015) Coalescence and breakup of large droplets in turbulent channel flow. Phys Fluids 27:073302
Fore LB, Ibrahim BB, Beus SG (2002) Visual measurements of droplet size in gas-liquid annular flow. Int J Multiph Flow 28:1895–1910
Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluids a very large Reynolds numbers. Dokl Nauk SSSR 30:301–305
Frisch U (1996) Turbulence the legacy of A.N. Kolmogorov. Cambridge University Press, Cambridge, England
Hinze JO (1955) Fundamentals of the hydrodynamic mechanism of splitting in dispersionprocesses. AIChE J 1:289–295
Zudin Y (1997) Calculation of the effect of evaporating drops on the relative law of heat exchange with a disperde mist flow. J Eng Phys Thermophys 70(6):507–510
Prandtl L (1925) Über die ausgebildete Turbulenz (On Fully Developed Turbulence.). ZAMM 5:136–139
Moulden TH (1977) Handbook of turbulence. fundamental and applications. Frost W, Moulden TH (eds) Plenum Press, New York
Spalart PR, Allmaras SR (1992) A one–equation turbulence model for aerodynamic flows. AIAA Paper 92–0439, Jan 1992
Menter FR (1993) Zonal two-equation k-ω turbulence models for aerodynamic flows. AIAA Paper 93–2306, Jun 1993
Reichardt H (1951) Complete representation of a turbulent velocity distribution in smooth tubes Z. Angew Math Mech 31(7):208–219
Schlichting H, Gersten K (1997) Grenzschicht-Theorie. Springer, Berlin Heidelberg, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Zudin, Y.B. (2017). Bubbles and Drops Dynamics in Continuous Media. In: Theory of Periodic Conjugate Heat Transfer. Mathematical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53445-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-662-53445-8_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53444-1
Online ISBN: 978-3-662-53445-8
eBook Packages: EngineeringEngineering (R0)