Simulations of Bubble Motion in an Oscillating Liquid
Abstract not provided.
Publications
Search results
Jump to search filtersThe terminal velocity of a bubble in an oscillating flow
A bubble in an acoustic field experiences a net 'Bjerknes' force from the nonlinear coupling of its radial oscillations with the oscillating buoyancy force. It is typically assumed that the bubble's net terminal velocity can be found by considering a spherical bubble with the imposed 'Bjerknes stresses'. We have analyzed the motion of such a bubble using a rigorous perturbation approach and found that one must include a term involving an effective mass flux through the bubble that arises from the time average of the second-order nonlinear terms in the kinematic boundary condition. The importance of this term is governed by the dimensionless parameter {alpha} = R{sup 2} {phi}/R{sup 2} {phi} {nu}.-{nu}, where R is the bubble radius, {phi} is the driving frequency, and {nu} is the liquid kinematic viscosity. If {alpha} is large, this term is unimportant, but if {alpha} is small, this term is the dominant factor in determining the terminal velocity.
Vertically Vibrated Gas-Liquid Interfaces: Surface Deformation and Breakup
Abstract not provided.
A Scaling Law near the Primary Resonance of the Quasi-Periodic Mathieu Equation
SIAM Journal on Applied Mathematics
Abstract not provided.
Jets, droplets, and cavities produced by vertically vibrating gas-liquid interfaces
Abstract not provided.
5 Results