Skip to main content
Erschienen in: Journal of Visualization 3/2020

28.03.2020 | Regular Paper

Visualization of coalescence behavior of two bubbles with smoothness constraint

verfasst von: Fangfang Zhang, Hongjun Li

Erschienen in: Journal of Visualization | Ausgabe 3/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A new method based on 2D contour curve fitting and 3D rotation surface generation to visualize the coalescence phenomenon of two bubbles in static water is presented. First, some contour points are extracted from key frame images in different coalescence stages of two bubbles. Second, those points are fitted using a new approach combining piecewise curve fitting with a smoothing constraint. Third, a family of transition functions is proposed to deal with continuous changes of contour curves in the process of coalescence. Finally, we use those contours to generate dynamical 3D rotation surfaces and achieve the continuous deformation visualization of two-bubble coalescence.

Graphic abstract

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Bandara UC, Yapa PD (2011) Bubble sizes, breakup, and coalescence in deepwater gas/oil plumes. J Hydraul Eng 137(7):729–738CrossRef Bandara UC, Yapa PD (2011) Bubble sizes, breakup, and coalescence in deepwater gas/oil plumes. J Hydraul Eng 137(7):729–738CrossRef
Zurück zum Zitat Belov IV, Prokolov EV (1972) Speed and shape of air bubbles in water. J Appl Mech Tech Phys 9(3):299–302CrossRef Belov IV, Prokolov EV (1972) Speed and shape of air bubbles in water. J Appl Mech Tech Phys 9(3):299–302CrossRef
Zurück zum Zitat Bing N, Tao Z, Ni HQ, Luo ZG (2017) Mechanism and simulation of droplet coalescence in molten steel. Int J Miner Metall Mater 24(11):1251–1259CrossRef Bing N, Tao Z, Ni HQ, Luo ZG (2017) Mechanism and simulation of droplet coalescence in molten steel. Int J Miner Metall Mater 24(11):1251–1259CrossRef
Zurück zum Zitat Chen R, Yu HW, Zhu L, Lee T, Patil RM (2016) Spatial and temporal scaling of unequal microbubble coalescence. AICHE J 63(4):1441–1450CrossRef Chen R, Yu HW, Zhu L, Lee T, Patil RM (2016) Spatial and temporal scaling of unequal microbubble coalescence. AICHE J 63(4):1441–1450CrossRef
Zurück zum Zitat Colombo M, Fairweather M (2016) Rans simulation of bubble coalescence and break-up in bubbly two-phase flows. Chem Eng Sci 146:207–225CrossRef Colombo M, Fairweather M (2016) Rans simulation of bubble coalescence and break-up in bubbly two-phase flows. Chem Eng Sci 146:207–225CrossRef
Zurück zum Zitat Duan G, Koshizuka S, Chen B (2015) A contoured continuum surface force model for particle methods. J Comput Phys 298(C):280–304MathSciNetMATHCrossRef Duan G, Koshizuka S, Chen B (2015) A contoured continuum surface force model for particle methods. J Comput Phys 298(C):280–304MathSciNetMATHCrossRef
Zurück zum Zitat Gebauer F, Hlawitschka MW, Bart HJ (2016) CFD aided investigation of single droplet coalescence. Chin J Chem Eng 24(2):249–252CrossRef Gebauer F, Hlawitschka MW, Bart HJ (2016) CFD aided investigation of single droplet coalescence. Chin J Chem Eng 24(2):249–252CrossRef
Zurück zum Zitat Grace JR, Clift R (2010) Coalescence of bubble pairs in a three dimensional fluidized bed. Can J Chem Eng 52(3):417–419CrossRef Grace JR, Clift R (2010) Coalescence of bubble pairs in a three dimensional fluidized bed. Can J Chem Eng 52(3):417–419CrossRef
Zurück zum Zitat Han R, Li S, Zhang AM, Wang QX (2016) Modelling for three dimensional coalescence of two bubbles. Phys. Fluids 28(6):062104CrossRef Han R, Li S, Zhang AM, Wang QX (2016) Modelling for three dimensional coalescence of two bubbles. Phys. Fluids 28(6):062104CrossRef
Zurück zum Zitat Hong Y, Park CC, Hu YT, Leal LG (2001) The coalescene of two equal-sized drops in a two-dimensional linear flow. Phys. Fluids 13(5):1087–1106MATHCrossRef Hong Y, Park CC, Hu YT, Leal LG (2001) The coalescene of two equal-sized drops in a two-dimensional linear flow. Phys. Fluids 13(5):1087–1106MATHCrossRef
Zurück zum Zitat Ishiyama Y, Funaoka C, Kubo F, Takahashi H, Tomita F (1992) Labeling board based on boundary tracking. In: Proceedings of the 11th IAPR international conference on pattern recognition. Vol. IV. Conference D: Architectures for Vision and Pattern Recognition, pp 34–38 Ishiyama Y, Funaoka C, Kubo F, Takahashi H, Tomita F (1992) Labeling board based on boundary tracking. In: Proceedings of the 11th IAPR international conference on pattern recognition. Vol. IV. Conference D: Architectures for Vision and Pattern Recognition, pp 34–38
Zurück zum Zitat Keplinger O, Shevchenko N, Eckert S (2018) Visualization of bubble coalescence in bubble chains rising in a liquid metal. Int J Multiph Flow 105:159–169CrossRef Keplinger O, Shevchenko N, Eckert S (2018) Visualization of bubble coalescence in bubble chains rising in a liquid metal. Int J Multiph Flow 105:159–169CrossRef
Zurück zum Zitat Liu Z, Herman C, Mewes D (2007) Visualization of bubble detachment and coalescence under the influence of a nonuniform electric field. Exp Therm Fluid Sci 31(2):151–163CrossRef Liu Z, Herman C, Mewes D (2007) Visualization of bubble detachment and coalescence under the influence of a nonuniform electric field. Exp Therm Fluid Sci 31(2):151–163CrossRef
Zurück zum Zitat Ni NI, Zhongguo S, Xiao C, Guang XI (2017) Numerical simulation of moving particle semi-implicit method for single-film bubbles coalescence and connection. J Xi’an Jiaotong Univ 51(12):156–162 Ni NI, Zhongguo S, Xiao C, Guang XI (2017) Numerical simulation of moving particle semi-implicit method for single-film bubbles coalescence and connection. J Xi’an Jiaotong Univ 51(12):156–162
Zurück zum Zitat Nielsen MB, Söderström A, Bridson R (2013) Synthesizing waves from animated height fields. ACM Trans Graph 32(1):2:1–2:9MATHCrossRef Nielsen MB, Söderström A, Bridson R (2013) Synthesizing waves from animated height fields. ACM Trans Graph 32(1):2:1–2:9MATHCrossRef
Zurück zum Zitat Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 9(1):62–66CrossRef Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 9(1):62–66CrossRef
Zurück zum Zitat Pérez-Muñuzuri V, Garaboa-Paz D (2016) Mixing of spherical bubbles with time-dependent radius in incompressible flows. Phys Rev E 93(2–1):023107CrossRef Pérez-Muñuzuri V, Garaboa-Paz D (2016) Mixing of spherical bubbles with time-dependent radius in incompressible flows. Phys Rev E 93(2–1):023107CrossRef
Zurück zum Zitat Pucci G, Harris DM, Bush JWM (2015) Partial coalescence of soap bubbles. Phys Fluids 27(6):105–203CrossRef Pucci G, Harris DM, Bush JWM (2015) Partial coalescence of soap bubbles. Phys Fluids 27(6):105–203CrossRef
Zurück zum Zitat Ruetsch GR, Meiburg E (1993) On the motion of small spherical bubbles in two-dimensional vortical flows. Phys Fluids A Fluid Dyn 5(10):2326–2341MATHCrossRef Ruetsch GR, Meiburg E (1993) On the motion of small spherical bubbles in two-dimensional vortical flows. Phys Fluids A Fluid Dyn 5(10):2326–2341MATHCrossRef
Zurück zum Zitat Runge C (1901) Über empirische funktionen und die interpolation zwischen äquidistanten ordinaten. Zeitschrift für Mathematik und Physik 46:224–243MATH Runge C (1901) Über empirische funktionen und die interpolation zwischen äquidistanten ordinaten. Zeitschrift für Mathematik und Physik 46:224–243MATH
Zurück zum Zitat Singh R, Wei S (2007) Three-dimensional adaptive cartesian grid method with conservative interface restructuring and reconstruction. J Comput Phys 224(1):150–167MathSciNetMATHCrossRef Singh R, Wei S (2007) Three-dimensional adaptive cartesian grid method with conservative interface restructuring and reconstruction. J Comput Phys 224(1):150–167MathSciNetMATHCrossRef
Zurück zum Zitat Zelenka C (2014) Gas bubble shape measurement and analysis. In: Jiang X, Hornegger J, Koch R (eds) Pattern Recognition. Springer, Cham, pp 743–749 Zelenka C (2014) Gas bubble shape measurement and analysis. In: Jiang X, Hornegger J, Koch R (eds) Pattern Recognition. Springer, Cham, pp 743–749
Zurück zum Zitat Zhang S (2006) Three dimensional numerical simulation of dynamical property of bubbles. PhD thesis, Hohai University Zhang S (2006) Three dimensional numerical simulation of dynamical property of bubbles. PhD thesis, Hohai University
Zurück zum Zitat Zhao JF, Li J, Yan N, Wang SF (2009) Bubble behavior and heat transfer in quasi-steady pool boiling in microgravity. Microgravity Sci Technol 21(1 Supplement):175–183CrossRef Zhao JF, Li J, Yan N, Wang SF (2009) Bubble behavior and heat transfer in quasi-steady pool boiling in microgravity. Microgravity Sci Technol 21(1 Supplement):175–183CrossRef
Zurück zum Zitat Zhao ZX, Niu JH, Huang L, Wang HR (2015) Simulation of the motion of two bubbles in aluminum foams produced process by using level set method. Appl Mech Mater 757:13–17CrossRef Zhao ZX, Niu JH, Huang L, Wang HR (2015) Simulation of the motion of two bubbles in aluminum foams produced process by using level set method. Appl Mech Mater 757:13–17CrossRef
Metadaten
Titel
Visualization of coalescence behavior of two bubbles with smoothness constraint
verfasst von
Fangfang Zhang
Hongjun Li
Publikationsdatum
28.03.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Visualization / Ausgabe 3/2020
Print ISSN: 1343-8875
Elektronische ISSN: 1875-8975
DOI
https://doi.org/10.1007/s12650-020-00641-2

Weitere Artikel der Ausgabe 3/2020

Journal of Visualization 3/2020 Zur Ausgabe