Das, K.S. and Wilson, S.K. (2010) Dynamics of a twodimensional vapor bubble confined between superheated or subcooled parallel plates. Physical Review E, 81 (4).

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Abstract
The dynamics of a long, twodimensional vapor bubble confined in the gap between two superheated or subcooled parallel plates is analyzed theoretically. The unsteady expansion and/or contraction of the bubble is driven by mass transfer between the liquid and the vapor. The analysis uses the approach developed by Wilson et al. J. Fluid Mech. 391, 1 1999 for a situation with 'large' gaps and 'small' superheating or subcooling to consider a situation with small gaps and large superheating or subcooling in which the mass transfer from or to the semicircular nose of the bubble is comparable to that from or to the thin liquid films on the plates. In order to permit a semi analytical treatment the analysis is restricted to low Prandtl number liquids. When both plates are superheated the bubble always expands. In this case there are two possible constantvelocity continuousfilm solutions for the expansion of the bubble, namely, an unstable fast mode and a stable slow mode. The evolution of the bubble is calculated numerically for a range of values of the parameters. In particular, these calculations show that eventually the bubble expands either with the constant velocity of the slow mode or exponentially. When both plates are subcooled the bubble always collapses to zero length in a finite time. When one plate is subcooled and the other plate is superheated the situation is rather more complicated. If the magnitude of the subcooling is less than that of the superheating then if the magnitude of the subcooling is greater than a critical value then a variety of complicated behaviors including the possibility of an unexpected 'waiting time' behavior in which the bubble remains almost stationary for a finite period oftime can occur before the bubble eventually collapses to a finite length in an infinite time, whereas if it is less than this critical value then the bubble always expands and eventually does so exponentially. If the magnitude of the subcooling is greater than that of the superheating then the bubble always collapses to zero length in a finite time.
Item type:  Article 

ID code:  18837 
Keywords:  twodimensional vapor bubble , subcooled parallel plates , superheating, Mathematics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Mrs Carolynne Westwood 
Date Deposited:  07 May 2010 09:14 
Last modified:  05 Jan 2016 12:19 
URI:  http://strathprints.strath.ac.uk/id/eprint/18837 
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