Harmonic Cascading in Bubble Clouds
CaltechAUTHORS
View Archive InfoField  Value  
Title 
Harmonic Cascading in Bubble Clouds


Creator 
Kumar, S.
Brennen, C. E. 

Subject 
Caltech Library Services


Description 
Nonlinear interactive effects in a bubbly cloud have been studied by investigating the frequency response of a bubble layer bounded by a wall oscillating normal to itself. First, a Fourier analysis of the RayleighPlesset equation is used to obtain an approximate solution for the nonlinear response of a single bubble in an infinite fluid. This is used to solve for nonlinear effects in a semiinfinite layer containing bubbles with a distribution size. A phenomena termed harmonic cascading is seen to take place due to presence of distribution of bubble sizes. This phenomena consists of a large response at twice the excitation frequency when the mixture contains bubbles with a natural frequency equal to twice the excitation frequency. The ratio of the amplitude of the second harmonic response to the amplitude of the first harmonic response is observed to increase when the number of small bubbles is increased relative to the number of large bubbles. The response is also seen to be weakened by an increase in the total number of bubbles per unit liquid volume at constant void fraction. 

Date 
19920622


Type 
Conference or Workshop Item
PeerReviewed 

Format 
application/pdf


Identifier 
http://authors.library.caltech.edu/116/1/KUM118.pdf
Kumar, S. and Brennen, C. E. (1992) Harmonic Cascading in Bubble Clouds. In: International Symposium on Propulsors Cavitation, 2225 June 1992, Hamburg, Germany. http://resolver.caltech.edu/CaltechAUTHORS:KUMpc92 <http://resolver.caltech.edu/CaltechAUTHORS:KUMpc92> 

Relation 
http://resolver.caltech.edu/CaltechAUTHORS:KUMpc92
http://authors.library.caltech.edu/116/ 
