Monograph records
https://feeds.library.caltech.edu/people/Plesset-M-S/monograph.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 14:08:41 +0000Ion Exchange Kinetics: A Nonlinear Diffusion Problem
https://resolver.caltech.edu/CaltechAUTHORS:EngDivRpt85-7
Authors: {'items': [{'id': 'Helfferich-F', 'name': {'family': 'Helfferich', 'given': 'F.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1957
Ideal limiting laws are calculated for the kinetics of particle diffusion controlled ion exchange processes involving ions of different mobilities between spherical ion exchanger beads of uniform size and a well-stirred solution, The calculations are based on the nonlinear Nernst-Planck equations of ionic motion, which take into account the effect of the electric forces (diffusion potential) within the system. Numerical results for counter ions of equal valence and six different mobility ratios are presented. They were obtained by use of a digital computer. This approach contains the well-known solution to the corresponding linear problem as a limiting case. An explicit empirical formula approximating the numerical results is given.https://authors.library.caltech.edu/records/9bf1x-2xp98Theory of the acoustic absorption by a gas bubble in a liquid
https://resolver.caltech.edu/CaltechAUTHORS:HydroLabRpt85-19
Authors: {'items': [{'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1961
A complete analysis of acoustic absorption by a spherical gas bubble is developed by the application of the classical Rayleigh method. The absorption considered is that due to the viscosity and heat conduction of the gas bubble. Specific results are presented for the S-wave scatter and absorption for the case of an air bubble in water, and the absorption effects of viscosity and heat conduction alone are calculated explicitly. The results found here are of similar magnitude to those found by Pfriem and Spitzer who used an approximate procedure.https://authors.library.caltech.edu/records/gd9fq-36f34The collapse of a spherical cavity in a compressible liquid
https://resolver.caltech.edu/CaltechAUTHORS:DivEngAppSciRpt85-24
Authors: {'items': [{'id': 'Hickling-R', 'name': {'family': 'Hickling', 'given': 'Robert'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1963
This paper presents numerical solutions for the flow in the vicinity of a collapsing spherical bubble in water. The bubble is assumed to contain a small amount of gas and the solutions are taken beyond the point where the bubble reaches its minimum radius up to the stage where a pressure wave forms and propagates outwards into the liquid. The motion up to the point where the minimum radius is attained, is found by solving the equations of motion both in the Lagrangian and in the characteristic forms. These are in good agreement with each other and also with the approximate theory of Gilmore which is demonstrated to be accurate over a wide range of Mach number. The liquid flow after the minimum radius has been attained is determined from a solution of the Lagrangian equations. It is shown that an acoustic approximation is quite valid for fairly high pressures and this fact is used to determine the peak intensity of the pressure wave at a distance from the center of collapse. It is estimated in the case of typical cavitation bubbles that such intensities are sufficient to cause cavitation damage.https://authors.library.caltech.edu/records/qmzcr-8f705Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary
https://resolver.caltech.edu/CaltechAUTHORS:rptno85-49
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Chapman-R-B', 'name': {'family': 'Chapman', 'given': 'Richard B.'}}]}
Year: 1970
Vapor bubble collapse problems lacking spherical symmetry are solved here using a numerical method designed especially for these problems. Viscosity and compressibility in the liquid are neglected. The method uses finite time steps and features an iterative technique for applying the boundary conditions at infinity directly to the liquid at a finite distance from the free surface. Two specific cases of initially spherical bubbles collapsing near a plane solid wall were simulated: a bubble initially in contact with the wall, and a bubble initially half its radius from the wall at the closest point. It is shown that the bubble develops a jet directed towards the wall rather early in the collapse history. Free surface shapes and velocities are presented at various stages in the collapse. Velocities are scaled like (Δp/ρ)^1/2 where ρ is the density of the liquid and Δp is the constant difference between the ambient liquid pressure and the pressure in the cavity. For Δp/ρ = 10^6 (cm/sec)^2 ~ 1 atm./density of water the jet had a speed of about 130 m/sec in the first case and 170 m/sec in the second when it struck the opposite side of the bubble. Such jet velocities are of a magnitude which can explain cavitation damage. The jet develops so early in the bubble collapse history that compressibility effects in the liquid and the vapor are not important.https://authors.library.caltech.edu/records/8wm5e-4kn12The analogy between surface waves in a liquid and shocks in compressible gases: experimental study of wave forms
https://resolver.caltech.edu/CaltechAUTHORS:20140603-151624030
Authors: {'items': [{'id': 'Crossley-H-E-Jr', 'name': {'family': 'Crossley', 'given': 'H. E., Jr.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 2014
The subject matter covered in this report concerns the characteristics of the surface waves produced in the ripple tank by the wave generators and the effect on the wave form of adding detergents to the working fluid. The results will be presented under the following headings:
1. Experimental procedure.
2. The wave generators.
3. Variables affecting wave strength.
4. Effect of adding detergents to working fluid.
5. Summary and conclusions.https://authors.library.caltech.edu/records/dw6f9-xaa79Tensile Strength of Liquids
https://resolver.caltech.edu/CaltechAUTHORS:20140603-150555330
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 2014
The theory of the tensile strength of a pure liquid is developed and it is shown that it predicts much larger tensile strengths than are observed. This theory is modified and extended under the supposition
that liquids usually contain nuclei which are here taken to be solid particles. It is shown that the theory leads to more moderate predictions of tensile strength provided the solid particles are not wetted by the liquid. It is also shown that Brownian motion will serve as
the mechanism whereby solid particles can remain in suspension in liquids.https://authors.library.caltech.edu/records/zesx3-ypz26Cavitating Flows
https://resolver.caltech.edu/CaltechAUTHORS:20140603-144623046
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 2014
There are very few differences between the fluid dynamics of
liquids and gases. The viscosity of water, for example, is 10^-2 poise at 20° C while the viscosity of air at this temperature is about 2 X 10^-4 poise. The kinematic viscosity of water is 10^-2 cm^2/sec compared with 0.15 cm^2/sec for air. As one would expect from simple kinetic theory, the viscosity of gases increases with increasing temperature; the viscosity of liquids on the other hand decreases rather rapidly as the temperature rises. While
the speed of sound in water is about four times that in air, there is a more interesting consequence of the equation of state. A pressure pulse with
an intensity of several hundred psi, which propagates as a strong shock in air, will propagate acoustically in water with a negligible production of entropy.https://authors.library.caltech.edu/records/93nz2-54035Scaling Laws for Incipient Cavitation Noise
https://resolver.caltech.edu/CaltechAUTHORS:20140626-153701552
Authors: {'items': [{'id': 'Gilmore-F-R', 'name': {'family': 'Gilmore', 'given': 'F. R.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 2014
The noise produced by the motion or a body through a liquid differs from that produced by the motion of a body through a gas because of the possibility or cavitation in the liquid case. An adequate theory or cavitation and cavitation noise is not yet available, but the application
or dimensional analysis together with the theoretical information so far obtained can yield scaling laws for this flow situation.
In section II, a brief dissussion will be given or the scaling laws
for hydrodynamic noise in some cases of non-cavitating flow; this discussion is included tor oompleteness. In section III, a summary or the
present information on the scaling law. for incipient cavitation noise will be presented.https://authors.library.caltech.edu/records/8w2rw-3kw71The Theory of Rectified Diffusion of Mass into Gas Bubbles
https://resolver.caltech.edu/CaltechAUTHORS:20150713-141317248
Authors: {'items': [{'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 2015
The problem considered is the behavior of a gas bubble in a liquid saturated with dissolved gas when oscillating pressures are imposed on the system. This situation is encountered in experiments on cavitation and in the propagation of sonic and ultrasonic waves in liquids. Since gas diffuses into the bubble during the expansion half-cycle in which the pressure drops below its mean value, and diffuses out of the bubble during the
compression half-cycle in which the pressure rises above its mean value, there is no net transfer of mass into or out of the bubble in first order. There is, however, in second order a net inflow of gas into the bubble
which is called rectified diffusion. The equations which determine the system include the equation of state of the gas in the bubble, the equation of motion for the bubble boundary in the liquid, and the equation for the
diffusion of dissolved gas in the liquid. In the solution presented here, the acoustic approximation is made; that is, the amplitude of the pressure oscillation is taken to be small. It is also assumed that the gas in the
bubble remains isothermal throughout the oscillations; this assumption is valid provided the oscillation frequency is not too high. Under these conditions one finds for the mean rate of gas flow into the bubble the expression
(dm/dt) = (8π/3)D C_∞ R_0 (ΔP/P_0)^2 where D is the diffusivity of the dissolved gas in the liquid, C_∞
is the equilibrium dissolved gas concentration for the mean ambient pressure P_0, R_0 is the mean radius of the bubble, and ΔP is the amplitude of the acoustic pressure oscillations. It may be remarked that the most important
contribution to the rectification effect comes from the convection contribution to the diffusion process.https://authors.library.caltech.edu/records/pt1pa-nk061On the Propagation of Sound in a Liquid Containing Gas Bubbles
https://resolver.caltech.edu/CaltechAUTHORS:20150713-152651809
Authors: {'items': [{'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 2015
In the first portion of this paper a review is given of the theory of the propagation of sound in a homogeneous gas taking into account the effect of heat conduction. This consideration is preliminary to the treatment in the second portion of the paper of the propagation of sound
in a liquid with a homogeneous and isotropic distribution of gas bubbles. Again the effect of heat conduction is included. If f is the ratio of gas volume in the mixture to liquid volume, it is shown for the range of
values of f of general interest that the acoustic condensations and rarefactions of the gaseous portion of the medium are essentially isothermal. It is also found that the attenuation of an acoustic disturbance
by heat conduction is quite small.https://authors.library.caltech.edu/records/jhcbm-84j72Cavitation Erosion in Non-Aqueous Liquids
https://resolver.caltech.edu/CaltechAUTHORS:20151123-165919186
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 2015
Cavitation erosion rates in the organic liquids formamide, ethanol,acetone and glycerol are compared with the rate in distilled water. As is to be expected,these non-ionizing liquids, which are chemically less reactive with metals than water, show lower damage rates. The cavitation
damage rates have also been measured for solutions of these organic liquids in water and all these solutions show a monotonic decrease in going from pure water to the pure organic liquid except glycerol. The water-glycerol solutions go through a minimum damage rate for a solution with molecular ratio of glycerol to water of approximately 1 to 1. Solutions of ethanol in glycerol show a maximum in damage rate for a solution with molecular ratio, glycerol/ ethanol, of about 2 to 1. Qualitative differences in the cavitation bubble cloud in the various liquids studied are
indicated by short exposure photographs.https://authors.library.caltech.edu/records/53hqy-tgf40