Sentence examples for maximum bubble radius from inspiring English sources

For a range of the proximity parameter γ (the ratio of the distance the bubble is created from the boundary to the maximum bubble radius), we record the impulsive forces generated by the bubble collapse.

The method allows simulations of oscillating bubbles for long run times (5×105 time steps with a CFL number of 0.8) on highly truncated domains, in which the boundary condition may be applied within 0.1% of the maximum bubble radius.

It can be seen that in these experiments the bubble sizes, as defined by the first maximum bubble radius, RM1, ranged from 12.8 to 56.4 mm, and the bubble oscillation intensities, as defined by the non-dimensional peak pressure in the first bubble pulse, pzp1, ranged from 14.3 to 174.

The air bubble was pulsated at a rate of 20 pulses per minute, between a defined minimum bubble radius of 0.4 mm and a maximum bubble radius of 0.55 mm (representing a 50% surface area change).

The pressure in the liquid phase was measured with a precision transducer, and surface tensions at minimum and maximum bubble radius (minimum and maximum surface tensions) were calculated as a function of time of pulsation from the measured pressure drop across the air-water interface using the Laplace equation for a sphere [67], [68].

This maximum bubble radius was confirmed within ± 20% by measurements of the bubble radius in images taken at about half the bubble lifetime.

The dimensionless pressure (pN−p0)/πga at the gas source N (where p0 is the undisturbed ambient pressure, a the instantaneous bubble radius and π the liquid density) is found to rise to a maximum when the dimensionless bubble position h/a = 1·55 for bubbles formed at a plate orifice and (125/48 13 ≑ 1·38 for bubbles formed at a free standing nozzle.

In the bubbly flow region, Flg is given by where rb is the bubble radius.

a Bubble radius as a function of frame.

By the numerical analyses, the effects of the initial bubble radius, the polymer concentration, and the pressure ratio of inside and outside the bubble, etc. on the bubble behaviour are clarified, and the relations between the time elapsed and the pressure or the velocity at the bubble wall and the values of the maximum impulse pressure are obtained.

We validate the model against experimental data, both in terms of bubble number density and average bubble radius.