Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

Volumes:
Volumen 47, 2020 Volumen 46, 2019 Volumen 45, 2018 Volumen 44, 2017 Volumen 43, 2016 Volumen 42, 2015 Volumen 41, 2014 Volumen 40, 2013 Volumen 39, 2012 Volumen 38, 2011 Volumen 37, 2010 Volumen 36, 2009 Volumen 35, 2008 Volumen 34, 2007 Volumen 33, 2006 Volumen 32, 2005 Volumen 31, 2004 Volumen 30, 2003 Volumen 29, 2002 Volumen 28, 2001 Volumen 27, 2000 Volumen 26, 1999 Volumen 25, 1998 Volumen 24, 1997 Volumen 23, 1996 Volumen 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v38.i1.40
pages 38-55

Unsteady Motion of a Single Rising Bubble in Low Reynolds Numbers: An Analytical Study

M. Jalaal
Department of Mechanical Engineering, University of Tabriz
Davood Ganji (D.D. Ganji)
Babol University
http://sciencewatch.com/dr/ne/08decne

ABSTRAKT

The rising behavior of bubbles is of fundamental importance in many natural and industrial phenomenon. In current study, the unsteady motion of a single spherical air bubble rising in a stationary viscose liquid has been studied for low Reynolds numbers region. Considered nonlinear equation of motion involved added-mass term and neglected the Basset term. An exact solution is derived for instantaneous velocity using homotopy perturbation method. Therefore, acceleration and position of the bubble were achieved. Equation was solved generally and for some practical conditions while air was assumed to be the gas phase and glycerin solutions with different concentrations were considered as liquid phases. Present investigation shows the effectiveness of HPM and exhibit a new application of it for nonlinear problems arising in two-phase flows. Current analytical expression for rising bubble can be used in different further investigations on rising bubbles.