Article records
https://feeds.library.caltech.edu/people/Plesset-M-S/article.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenFri, 12 Apr 2024 14:09:54 +0000Relativistic Wave Mechanics of Electrons Deflected by a Magnetic Field
https://resolver.caltech.edu/CaltechAUTHORS:PLEpr30
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1930
It is shown that the relativistic wave equation for electrons in a uniform magnetic field leads to the same wave function as that already deduced by Page from the non-relativistic equation. As in the latter case the motion at right angles to the field is quantized.An expression is found for the current density from the relativistic wave equation. The relativistic expression differs from the non-relativistic only by a constant factor which does not affect the calculation of the mean radii of curvature of the electron current. Hence, for the relativistic case, as for the non-relativistic, the mean radius of curvature is less than that expected on the classical theory. It follows that the classical relativistic relation between ((epsilon)/(mu)) and the mean radius of curvature upon deflection gives a value of ((epsilon)/(mu)) which is too large.https://authors.library.caltech.edu/records/j3tk5-42415The Dirac Electron in Simple Fields
https://resolver.caltech.edu/CaltechAUTHORS:PLEpr32
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1932
DOI: 10.1103/PhysRev.41.278
The relativity wave equations for the Dirac electron are transformed in a simple manner into a symmetric canonical form. This canonical form makes readily possible the investigation of the characteristics of the solutions of these relativity equations for simple potential fields. If the potential is a polynomial of any degree in x, a continuous energy spectrum characterizes the solutions. If the potential is a polynomial of any degree in 1/x, the solutions possess a continuous energy spectrum when the energy is numerically greater than the rest-energy of the electron; values of the energy numerically less than the rest-energy are barred. When the potential is a polynomial of any degree in r, all values of the energy are allowed. For potentials which are polynomials in 1/r of degree higher than the first, the energy spectrum is again continuous. The quantization arising for the Coulomb potential is an exceptional case.https://authors.library.caltech.edu/records/jfzk9-7k168On the Production of the Positive Electron
https://resolver.caltech.edu/CaltechAUTHORS:OPPpr33
Authors: {'items': [{'id': 'Oppenheimer-J-Robert', 'name': {'family': 'Oppenheimer', 'given': 'J. R.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1933
DOI: 10.1103/PhysRev.44.53.2
The experimental discovery of the positive electron gives us a striking confirmation of Dirac's theory od the electron, and of his most recent attempts to gice a consistent interpretation of the formalism of that theory. As is well know, and quite apart from the difficulties connected with the existence and stability of the electron itself, the theory in its original form led to very grave difficulties in all problems involving length sof the order of the Compton wavelength, in that it predicted the occurrence of electrons of negative kinetic energy, in gross conflict with experience. Dirac has pointed out that we might obtain a consistent theory by assuming that it is only the absence of electrons of negative kinetic energy that has a physical meaning; in this way one could avoid the occurrence of the critical transitions, and yet understand the validity of many correct predictions of the theory, such as the formula for relativistic fine structure, and the Thomson and Klein-Nishina scattering formulae: only the physical interpretation of the formalism was changed, and involved in many cases the appearance pairs of electrons and "antielectrons" -- particles of electronic mass and of positive charge numerically equal to that of the electron. It was this aspect of the theory which remained dubious; and the discovery of the positive electron appears to settle that doubt.https://authors.library.caltech.edu/records/qkab2-48b19Note on an Approximation Treatment for Many-Electron Systems
https://resolver.caltech.edu/CaltechAUTHORS:MOLpr34
Authors: {'items': [{'id': 'Møller-C', 'name': {'family': 'Møller', 'given': 'Chr.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1934
DOI: 10.1103/PhysRev.46.618
A perturbation theory is developed for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation. It is shown by this development that the first order correction for the energy and the charge density of the system is zero. The expression for the second-order correction for the energy greatly simplifies because of the special property of the zero-order solution. It is pointed out that the development of the higher approximation involves only calculations based on a definite one-body problem.https://authors.library.caltech.edu/records/pk2sr-v9h41Inelastic Scattering of Quanta with Production of Pairs
https://resolver.caltech.edu/CaltechAUTHORS:PLEpr35
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Wheeler-J-A', 'name': {'family': 'Wheeler', 'given': 'John A.'}}]}
Year: 1935
DOI: 10.1103/PhysRev.48.302
The problem of accounting for the anomalous scattering of gamma-rays suggests the importance of investigating the probability of processes in which an incoming quantum produces an electron-positron pair in the field of a nucleus, going on in a new direction with diminished energy. To determine the cross section in the general case is difficult, but an estimate of the total magnitude of the effect in the energy range of interest is obtained by a calculation of the cross section as a function of the energies of the incident and scattered quanta and the angle between them in the limit where the electron-positron pair is produced with small kinetic energy.
While there exists a possibility of observing the process under suitable experimental conditions, the cross section is found to be too small to contribute appreciably to the production of the hard component in the radiation from heavy elements exposed to penetrating gamma-rays.https://authors.library.caltech.edu/records/6n4tj-51167Note on Neutron-Proton Exchange Interaction
https://resolver.caltech.edu/CaltechAUTHORS:PLEpr36
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1936
DOI: 10.1103/PhysRev.49.551
The matrix elements of the interaction between a proteon with coordinates x1 and a neutron with coordinates x2 as proposed by Majorana 2 may be written as ....https://authors.library.caltech.edu/records/48m2d-f3k68On the Equality of the Proton-Proton and Proton-Neutron Interactions
https://resolver.caltech.edu/CaltechAUTHORS:BROpr39
Authors: {'items': [{'id': 'Brown-F-W', 'name': {'family': 'Brown', 'given': 'Frederick W.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1939
DOI: 10.1103/PhysRev.56.841.2
A comparison of the 1S proton-proton interaction and the 1S proton-neutron interaction has been made recently by Breit, Hoisington, Share, and Thaxton. It is the purpose of this letter to add a remark to the subject. With the meson type of potential, [C x e^(-lambda x r)]/r x lambda, a variational calculation has been made of the binding energy of H3 of high accuracy (error <0.1 percent).https://authors.library.caltech.edu/records/xz8df-qa035On the Classical Model of Nuclear Fission
https://resolver.caltech.edu/CaltechAUTHORS:20140805-142755745
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1941
DOI: 10.1119/1.1991623
The first experiments on neutron bombardment
of various elements carried out by
Fermi and his collaborators included the study
of the group of activities observed in uranium
which were at that time ascribed to transuranic
elements. The great number of studies following
this first work led finally to the results of Hahn
and Strassmann which showed clearly that many
of the activities ascribed to transuranic elements
came, instead, from nuclei of approximately
half the mass of uranium. The startling conclusion
that these activities must arise from the
splitting of the uranium nucleus under neutron
bombardment into two fragment nuclei was
pointed out by Meitner and Frisch, and was
quickly confirmed by subsequent experiments. In
the first theoretical discussion of this new type of
nuclear reaction, Meitner and Frisch proposed
the name fission for the process, and compared it
with the splitting that may take place in a liquid
drop in oscillation. This model was supported by
Bohr who correlated it with other nuclear
properties and, at the same time, emphasized
how far the phenomenon of nuclear fission may
be described classically. A very complete theoretical
discussion of both the classical and
quantum aspects of fission was given by Bohr and
Wheeler, and it is proposed here to describe
some of the classical theory of fission developed
by these authors.https://authors.library.caltech.edu/records/vhvw0-46n05Drag in Cavitating Flow
https://resolver.caltech.edu/CaltechAUTHORS:PLErmp48
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Shaffer-P-A-Jr', 'name': {'family': 'Shaffer', 'given': 'Philip A., Jr.'}}]}
Year: 1948
DOI: 10.1103/RevModPhys.20.228
The free streamline theory has been used for evaluation of the cavity drag of symmetrical wedges of arbitrary angle. The required conformal transformation is derived explicitly. This calculation is an extension of Riabouchinsky's theory of the cavity drag of a flat plate. As an approximation, the pressure distribution for a two-dimensional wedge is used to calculate the cavity drag of the corresponding cone of revolution. A comparison of the result of this approximation with experimental measurements made by Reichardt shows good agreement.https://authors.library.caltech.edu/records/p09rn-2ka81The Dynamics of Cavitation Bubbles
https://resolver.caltech.edu/CaltechAUTHORS:20140808-114249321
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1949
Three regimes of liquid flow over a body are defined,
namely: (a) noncavitating flow; (b) cavitating flow with a
relatively small number of cavitation bubbles in the field
of flow; and (c) cavitating flow with a single large cavity
about the body. The assumption is made that, for the
second regime of flow, the pressure coefficient in the flow
field is no different from that in the noncavitating flow.
On this basis, the equation of motion for the growth and
collapse of a cavitation bubble containing vapor is derived
and applied to experimental observations on such bubbles.
The limitations of this equation of motion are pointed
out, and include the effect of the finite rate of evaporation
and condensation, and compressibility of vapor and
liquid. A brief discussion of the role of "nuclei" in the
liquid in the rate of formation of cavitation bubbles is
also given.https://authors.library.caltech.edu/records/d1ygw-wmq60The Analogy between Hydraulic Jumps in Liquids and Shock Waves in Gases
https://resolver.caltech.edu/CaltechAUTHORS:20140805-165739483
Authors: {'items': [{'id': 'Gilmore-F-R', 'name': {'family': 'Gilmore', 'given': 'F. R.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Crossley-H-E-Jr', 'name': {'family': 'Crossley', 'given': 'H. E., Jr.'}}]}
Year: 1950
DOI: 10.1063/1.1699641
The theory of the hydraulic jump is presented briefly, and the analogy between this phenomenon and the compression shock wave in gases is pointed out. The results of experimental measurements of hydraulic‐jump intersections on a water table are reported. Considerable disagreement between theory and experiment is found. Other investigators have noted a disagreement between theory and experiment for compression‐shock intersections in gases. The discrepancy in the aerodynamic case appears unlike that found in the hydraulic case. Possible reasons for the discrepancy in the hydraulic case are discussed; some sources of error are peculiar to hydraulic jumps and do not apply to compression shocks. Such factors limit the utility of the water table as an analog device.https://authors.library.caltech.edu/records/9zwsf-cm683Wall Effects in Cavity Flow - I
https://resolver.caltech.edu/CaltechAUTHORS:20140729-162818727
Authors: {'items': [{'id': 'Birkhoff-G', 'name': {'family': 'Birkhoff', 'given': 'G.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M.'}}, {'id': 'Simmons-N', 'name': {'family': 'Simmons', 'given': 'N.'}}]}
Year: 1950
[no abstract]https://authors.library.caltech.edu/records/hsnwm-scv05On the Stability of Gas Bubbles in Liquid-Gas Solutions
https://resolver.caltech.edu/CaltechAUTHORS:EPSjcp50
Authors: {'items': [{'id': 'Epstein-P-S', 'name': {'family': 'Epstein', 'given': 'P. S.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1950
DOI: 10.1063/1.1747520
With the neglect of the translational motion of the bubble, approximate solutions may be found for the rate of solution by diffusion of a gas bubble in an undersaturated liquid-gas solution; approximate solutions are also presented for the rate of growth of a bubble in an oversaturated liquid-gas solution. The effect of surface tension on the diffusion process is also considered.https://authors.library.caltech.edu/records/gma52-sej66Transmission of Gamma-Rays through Large Thicknesses of Heavy Materials
https://resolver.caltech.edu/CaltechAUTHORS:PEEpr51
Authors: {'items': [{'id': 'Peebles-G-H', 'name': {'family': 'Peebles', 'given': 'Glenn H.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1951
DOI: 10.1103/PhysRev.81.430
A study has been made of the feasibility of accurate numerical determinations of the transmission of gamma-rays through large thicknesses of materials. The first procedure investigated consists in regarding the total probability of photon transmission, Nt, as the sum of the probabilities Nn, where Nn is the probability of photon transmission with exactly n scatterings. The total expected transmitted energy, Et is similarly considered to be given by ΣEn. A numerical calculation of Nn and En has been made for n=0, 1, 2, 3 for a slab of uranium 20 cm thick, upon which photons are incident normally with energy α=10 mc2. The maximum value of Nn/N0 occurs at n=2 and of En/E0 at n=1. These calculations are also adapted to a slab of lead 35 cm thick. Consideration has been given to the behavior of Nn and En for large n, and estimates are thereby made for Nt and Et. The second procedure consists in deriving the transmission through a thick slab from a succession of transmissions through thin slabs. The transformation of an incident photon distribution into the distribution transmitted through a thin slab is conveniently expressed as a matrix, and the total transmission is then given by the iteration of the matrix on the successive transmitted distributions. Numerical results obtained by this procedure for particular incident photon distributions are presented.https://authors.library.caltech.edu/records/9y2y9-2e565Scattering and Absorption of Gamma-Rays
https://resolver.caltech.edu/CaltechAUTHORS:PLEjap51
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Cohen-S-T', 'name': {'family': 'Cohen', 'given': 'S. T.'}}]}
Year: 1951
DOI: 10.1063/1.1699954
A formulation is presented of the scattering and absorption of gamma-rays in different materials. The range of gamma-ray energies considered is from 1 to 10 mc^2. Results are given for the transmission of gamma-rays through air and lead.https://authors.library.caltech.edu/records/d6dn1-30y81A Nonsteady Heat Diffusion Problem with Spherical Symmetry
https://resolver.caltech.edu/CaltechAUTHORS:PLEjap52
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Zwick-S-A', 'name': {'family': 'Zwick', 'given': 'S. A.'}}]}
Year: 1952
DOI: 10.1063/1.1701985
A solution in successive approximations is presented for the heat diffusion across a spherical boundary with radial motion. The approximation procedure converges rapidly provided the temperature variations are appreciable only in a thin layer adjacent to the spherical boundary. An explicit solution for the temperature field is given in the zero order when the temperature at infinity and the temperature gradient at the spherical boundary are specified. The first-order correction for the temperature field may also be found. It may be noted that the requirements for rapid convergence of the approximate solution are satisfied for the particular problem of the growth or collapse of a spherical vapor bubble in a liquid when the translational motion of the bubble is neglected.https://authors.library.caltech.edu/records/z9t32-e6894On the Stability of Fluid Flows with Spherical Symmetry
https://resolver.caltech.edu/CaltechAUTHORS:PLEjap54b
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1954
DOI: 10.1063/1.1721529
The conditions for the stability or instability of the interface between two immiscible incompressible fluids in radial motion are deduced. The stability conditions derived by Taylor for the interface of two fluids in plane motion do not apply to spherical flows without significant modifications.https://authors.library.caltech.edu/records/qdw7p-13j05The Growth of Vapor Bubbles in Superheated Liquids
https://resolver.caltech.edu/CaltechAUTHORS:PLEjap54a
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Zwick-S-A', 'name': {'family': 'Zwick', 'given': 'S. A.'}}]}
Year: 1954
DOI: 10.1063/1.1721668
The growth of a vapor bubble in a superheated liquid is controlled by three factors: the inertia of the liquid, the surface tension, and the vapor pressure. As the bubble grows, evaporation takes place at the bubble boundary, and the temperature and vapor pressure in the bubble are thereby decreased. The heat inflow requirement of evaporation, however, depends on the rate of bubble growth, so that the dynamic problem is linked with a heat diffusion problem. Since the heat diffusion problem has been solved, a quantitative formulation of the dynamic problem can be given. A solution for the radius of the vapor bubble as a function of time is obtained which is valid for sufficiently large radius. This asymptotic solution covers the range of physical interest since the radius at which it becomes valid is near the lower limit of experimental observation. It shows the strong effect of heat diffusion on the rate of bubble growth. Comparison of the predicted radius-time behavior is made with experimental observations in superheated water, and very good agreement is found.https://authors.library.caltech.edu/records/dhgp6-86k43On the Dynamics of Small Vapor Bubbles in Liquids
https://resolver.caltech.edu/CaltechAUTHORS:20140729-155852145
Authors: {'items': [{'id': 'Zwick-S-A', 'name': {'family': 'Zwick', 'given': 'S. A.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1955
When a vapor bubble in a liquid changes size, evaporation
or condensation of the vapor takes place at the surface of the bubble. Because of the latent heat requirement of evaporation, a change in bubble size must
therefore be accompanied by a heat transfer across the bubble wall, such as to cool the surrounding liquid when the bubble grows (or heat it when the bubble
becomes smaller). Since the vapor pressure at the bubble wall is determined by the temperature there, the result of a cooling of the liquid is a decrease of the
vapor pressure, and this causes a decrease in the rate of bubble growth. A similar effect occurs during the collapse of a bubble which tends to slow down the collapse.
In order to obtain a satisfactory theory of the behavior of a vapor bubble in a liquid, these heat transfer effects must be taken into account.
In this paper, the equations of motion for a spherical vapor bubble will be derived and applied to the case of a bubble expanding in superheated liquid and a bubble collapsing in liquid below its boiling point. Because of the inclusion of the heat transfer effects, the equations are nonlinear, integro-differential
equations. In the case of the collapsing bubble, large temperature variations occur; therefore, tabulated vapor pressure data were used, and the equations of
motion were integrated numerically. Analytic solutions are obtainable for the case of the expanding bubble if the period of growth is subdivided into several
regimes and the simplifications possible in each regime are utilized. The growth is considered here only during the time that the bubble is small. An asymptotic
solution of the equations of motion, valid when the bubble becomes large (i.e. observable), has been presented previously, together with experimental verification.
We shall be specifically concerned in the following discussion with the dynamics of vapor bubbles in water. This restriction was made for convenience
only, since the theory is applicable without modification to many other liquids.https://authors.library.caltech.edu/records/zg2gz-87p65On the Mechanism of Cavitation Damage
https://resolver.caltech.edu/CaltechAUTHORS:20140826-140952946
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Ellis-A-T', 'name': {'family': 'Ellis', 'given': 'A. T.'}}]}
Year: 1955
A new method for producing cavitation damage in the
laboratory is described in which the test specimen has no
mechanical accelerations applied to it in contrast with the
conventional magnetostriction device. Alternating pressures
are generated in the water over the specimen by exciting
a resonance in the "water cavity." By this means
the effects of cavitation have been studied for a variety of
materials. Photomicrographs have been taken of several
ordinary (polycrystalline) specimens and also of zinc
monocrystals. The zinc monocrystal has been exposed to
cavitation damage on its basal plane and also on its
twinning plane. X-ray analyses have been made of polycrystalline specimens with various exposures to cavitation. The results show that plastic deformation occurs in the specimens so that the damage results from cold-work of the material which leads to fatigue and failure. A variety of materials has been exposed to intense cavitation for extended periods to get a relative determination of their resistance to cavitation damage. It is found that, roughly speaking, hard materials of high tensile strengths are the most resistant to damage. While this survey is not complete, it has been found that titanium 150-A and tungsten are the most resistant to damage of the materials tested. Cavitation-damage studies, which have been carried out in liquid toluene and in a helium atmosphere, show that chemical effects can be, at most, of secondary significance.https://authors.library.caltech.edu/records/8djmb-yct20Ion Exchange Kinetics. A Nonlinear Diffusion Problem
https://resolver.caltech.edu/CaltechAUTHORS:HELjcp58
Authors: {'items': [{'id': 'Helfferich-F', 'name': {'family': 'Helfferich', 'given': 'F.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M.S.'}}]}
Year: 1958
DOI: 10.1063/1.1744149
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/dxr4p-0hn34Ion exchange kinetics. A nonlinear diffusion problem. II. Particle diffusion controlled exchange of univalent and bivalent ions
https://resolver.caltech.edu/CaltechAUTHORS:PLEjcp58
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Helfferich-F', 'name': {'family': 'Helfferich', 'given': 'F.'}}, {'id': 'Franklin-J-N', 'name': {'family': 'Franklin', 'given': 'J. N.'}}]}
Year: 1958
DOI: 10.1063/1.1744656
The differential equation derived previously which describes the particle diffusion controlled ion exchange between spherical beads of uniform size and a well-stirred solution is solved numerically for the exchange of monovalent ions for bivalent ions, and of bivalent ions for monovalent ions. The approach is based on the Nernst-Planck equations of ionic motion. Numerical results for six different mobility ratios are presented and discussed. They were obtained by use of a digital computer. An explicit equation approximating the numerical data is given.https://authors.library.caltech.edu/records/xm4br-9r024Transient effects in the distribution of carbon-14 in nature
https://resolver.caltech.edu/CaltechAUTHORS:PLEpnas60
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Latter-A-L', 'name': {'family': 'Latter', 'given': 'Albert L.'}}]}
Year: 1960
A prerequisite for accurate dating by means of carbon-14 is the existence of a steady state in the specific activity of the carbon in the atmosphere. The studies(1) which have been made of carbon activity supported the view that there was a state of dynamic equilibrium in the carbon exchange between natural reservoirs. A disturbance in this state is known to arise from the discharge of the combustion products from fossil fuels into the atmosphere.https://authors.library.caltech.edu/records/9y1q8-q7y42Theory of gas bubble dynamics in oscillating pressure fields
https://resolver.caltech.edu/CaltechAUTHORS:PLEpof60
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}]}
Year: 1960
DOI: 10.1063/1.1706152
The behavior of a permanent gas bubble in a liquid with an oscillating pressure field is analyzed with a linearized theory. If the assumption is made that conditions within the bubble are uniform, the thermodynamic relations found are as expected; i.e., at low frequencies the bubble behaves isothermally and at high frequencies the behavior becomes adiabatic. However, a more detailed analysis, which allows the bubble interior to vary not only in time but also in space, leads to an average isothermal behavior for the bubble even in the high-frequency limit.https://authors.library.caltech.edu/records/2fwdp-kes57On the Propagation of Sound in a Liquid Containing Gas Bubbles
https://resolver.caltech.edu/CaltechAUTHORS:HSIpof60
Authors: {'items': [{'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1961
DOI: 10.1063/1.1706447
The theory of the propagation of sound in a homogeneous gas including the effect of heat conduction is presented for the purpose of clarifying the underlying thermodynamic process. The propagation of sound in a liquid with a homogeneous and isotropic distribution of gas bubbles is then considered. The bubbles are assumed to be sufficiently small and numerous so that the mixture can be taken to be a uniform medium. 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 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/7dw07-13787Reply to Comments of P. W. Smith, Jr.
https://resolver.caltech.edu/CaltechAUTHORS:20120905-105612094
Authors: {'items': [{'id': 'Hsieh-Din-Yu', 'name': {'family': 'Hsieh', 'given': 'Din-Yu'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1962
DOI: 10.1063/1.1706607
In his comments on this subject, Smith has put
emphasis on the special nature of the plane-wave
solution in acoustic problems. It is perhaps unnecessary
to defend the importance of the plane-wave
solution in a linear theory.https://authors.library.caltech.edu/records/sscy3-9sz11Collapse and rebound of a spherical bubble in water
https://resolver.caltech.edu/CaltechAUTHORS:HICpof64
Authors: {'items': [{'id': 'Hickling-R', 'name': {'family': 'Hickling', 'given': 'Robert'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1964
DOI: 10.1063/1.1711058
Some numerical solutions are presented which describe 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 which propagates outwards into the liquid. The motion during collapse, up to the point where the minimum radius is attained, is determined by solving the equations of motion both in the Lagrangian and in the characteristic form. These are found to be in good agreement with each other and also with the approximate theory of Gilmore which is shown to be accurate over a wide range of Mach number. The liquid flow during the rebound, which occurs after the minimum radius has been attained, is determined from a solution of the Lagrangian equations. It is shown that an acoustic approximation is valid even for fairly high pressures, and this fact is used to determine the peak intensity of the pressure wave as it moves outwards 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/n6s7c-40r52Shockwaves from Cavity Collapse
https://resolver.caltech.edu/CaltechAUTHORS:20151120-092553985
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}]}
Year: 1966
DOI: 10.1098/rsta.1966.0047
The determination of the stresses produced by cavity collapse has been of interest since Rayleigh's discussion of the problem. One theoretical calculation relating to this problem is the magnitude of the pressure pulse which is radiated when a spherical bubble collapses and rebounds in a liquid. A calculation of this kind has been made although it was necessary to idealize the physical situation. The peak pressures predicted by this treatment were of the order of some thousands of atmospheres and could, therefore, furnish a mechanism for the damage of solid surfaces. Since these peak pressures decrease rapidly with distance from the centre of the bubble, the solid boundary must be in the immediate neighbourhood of the bubble in order that damage may be produced by this mechanism. In this situation spherical collapse or rebound cannot be expected to take place. An additional disturbance from spherical symmetry arises because the spherical shape is unstable. There is now both theoretical and experimental evidence that jet formation may develop from this unstability, and could under suitable conditions give rise to cavitation damage. This evidence is briefly discussed.https://authors.library.caltech.edu/records/pf2z6-65187Collapse of an initially spherical vapour cavity in the
neighbourhood of a solid boundary
https://resolver.caltech.edu/CaltechAUTHORS:20120809-090900707
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Chapman-R-B', 'name': {'family': 'Chapman', 'given': 'Richard B.'}}]}
Year: 1971
DOI: 10.1017/S0022112071001058
Vapour 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. 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)^½ 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=10^6cm^2/sec^2 ≈ 1 atm/density of water
the jet had a speed of about 130m/sec in the first case and 170m/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 vapour are not important.https://authors.library.caltech.edu/records/a4e26-71435Viscous effects in Rayleigh-Taylor instability
https://resolver.caltech.edu/CaltechAUTHORS:20120809-152411650
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Whipple-C-G', 'name': {'family': 'Whipple', 'given': 'Christopher G.'}}]}
Year: 1974
DOI: 10.1063/1.1694570
A simple, physical approximation is developed for the effect of viscosity for stable interfacial waves and for the unstable interfacial waves which correspond to Rayleigh‐Taylor instability. The approximate picture is rigorously justified for the interface between a heavy fluid (e.g., water) and a light fluid (e.g., air) with negligible dynamic effect. The approximate picture may also be rigorously justified for the case of two fluids for which the differences in density and viscosity are small. The treatment of the interfacial waves may easily be extended to the case where one of the fluids has a small thickness; that is, the case in which one of the fluids is bounded by a free surface or by a rigid wall. The theory is used to give an explanation of the bioconvective patterns which have been observed with cultures of microorganisms which have negative geotaxis. Since such organisms tend to collect at the surface of a culture and since they are heavier than water, the conditions for Rayleigh‐Taylor instability are met. It is shown that the observed patterns are quite accurately explained by the theory. Similar observations with a viscous liquid loaded with small glass spheres are described. A behavior similar to the bioconvective patterns with microorganisms is found and the results are also explained quantitatively by Rayleigh‐Taylor instability theory for a continuous medium with viscosity.https://authors.library.caltech.edu/records/pgsxf-2n054Comments on "Rayleigh–Taylor instability of thin viscous layers"
https://resolver.caltech.edu/CaltechAUTHORS:PLEpof76
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Whipple-C-G', 'name': {'family': 'Whipple', 'given': 'Christopher G.'}}]}
Year: 1976
DOI: 10.1063/1.861480
In a paper by Craik, (1) frequent references are made to our paper (2) which we believe are incorrect. It may also be pointed out that quite unusual circumstances would be required to provide a physical basis for Craik's analysis; the experiments described in his paper are not appropriately explained by his analysis.https://authors.library.caltech.edu/records/cqbm6-py145Flow of vapour in a liquid enclosure
https://resolver.caltech.edu/CaltechAUTHORS:20120806-144133110
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Prosperetti-A', 'name': {'family': 'Prosperetti', 'given': 'Andrea'}}]}
Year: 1976
DOI: 10.1017/S002211207600253X
A solution is developed for the flow of a vapour in a liquid enclosure in which different portions of the liquid wall have different temperatures. It is shown that the vapour pressure is very nearly uniform in the enclosure, and an expression for the net vapour flux is deduced. This pressure and the net vapour flux are readily expressed in terms of the temperatures on the liquid boundary. Explicit results are given for simple liquid boundaries: two plane parallel walls at different temperatures and concentric spheres and cylinders at different temperatures. Some comments are also made regarding the effects of unsteady liquid temperatures and of motions of the boundaries. The hemispherical vapour cavity is also discussed because of its applicability to the nucleate boiling problem.https://authors.library.caltech.edu/records/087px-6a914Bubble Dynamics and Cavitation
https://resolver.caltech.edu/CaltechAUTHORS:20120809-071458384
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Prosperetti-A', 'name': {'family': 'Prosperetti', 'given': 'Andrea'}}]}
Year: 1977
DOI: 10.1146/annurev.fl.09.010177.001045
N/Ahttps://authors.library.caltech.edu/records/xgyq7-szh07On the stability of gas bubbles in liquid-gas solutions
https://resolver.caltech.edu/CaltechAUTHORS:20201001-145812459
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Sadhal-S-S', 'name': {'family': 'Sadhal', 'given': 'Satwindar S.'}}]}
Year: 1982
DOI: 10.1007/bf00385944
It was shown some time ago by use of diffusion theory that a gas bubble in a liquid-gas solution was unstable. This problem has been reconsidered recently in two papers both of which propose to develop a stability analysis solely from thermodynamic considerations. The first of these studies purports to find stability for a gas bubble in a liquid-gas solution. Some possible sources of error in this analysis are mentioned here. The second study considers a particular system of a bubble in a liquid drop immersed in a second liquid in which the gas is insoluble. A condition of stability is then found. This system is reconsidered here simply in terms of the ideas of diffusion theory. The stability conditions may then be stated in simple physical terms.https://authors.library.caltech.edu/records/9rw5t-e6343Reply to comments on "General analysis of the stability of superposed fluids"
https://resolver.caltech.edu/CaltechAUTHORS:PLEpof82
Authors: {'items': [{'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}, {'id': 'Prosperetti-A', 'name': {'family': 'Prosperetti', 'given': 'Andrea'}}]}
Year: 1982
DOI: 10.1063/1.863824
Previous results by Plesset and Hsieh on the effects of compressibility for Rayleigh–Taylor instability are shown to be valid, and an alternative brief deduction is given.https://authors.library.caltech.edu/records/z0dmc-hd783Theory of evaporation and condensation
https://resolver.caltech.edu/CaltechAUTHORS:KOFpof84
Authors: {'items': [{'id': 'Koffman-L-D', 'name': {'family': 'Koffman', 'given': 'L. D.'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'M. S.'}}, {'id': 'Lees-L', 'name': {'family': 'Lees', 'given': 'Lester'}}]}
Year: 1984
DOI: 10.1063/1.864716
The theory of evaporation and condensation is considered from a kinetic theory approach with a particular interest in the continuum limit. The moment method of Lees is used to solve the problem of the steady flow of vapor between a hot liquid surface and a cold liquid surface. By incorporating the singular nature of the problem, the forms of the continuum flow profiles found by Plesset are recovered. The expression for mass flux has the form of the Hertz–Knudsen formula but is larger by a factor of 1.665. A result of the theory is that the temperature profile in the vapor for the continuum problem is inverted from what would seem physically reasonable. This paradox is significant in that it casts a shadow of doubt on the fundamental theory.https://authors.library.caltech.edu/records/15nd6-wp673The stability of an evaporating liquid surface
https://resolver.caltech.edu/CaltechAUTHORS:PROpof84
Authors: {'items': [{'id': 'Prosperetti-A', 'name': {'family': 'Prosperetti', 'given': 'Andrea'}}, {'id': 'Plesset-M-S', 'name': {'family': 'Plesset', 'given': 'Milton S.'}}]}
Year: 1984
DOI: 10.1063/1.864814
A linearized stability analysis is carried out for an evaporating liquid surface with a view of understanding some observations with highly superheated liquids. The analytical results of this study depend on the unperturbed temperature near the liquid surface. The absence of this data renders a comparison with experiment impossible. However, on the basis of several different assumptions for this temperature distribution, instabilities of the interface of a rapidly evaporating liquid are found for a range of wavenumbers of the surface wave perturbation. At large evaporating mass flow rates the instability is very strong with growth times of a millisecond or less. A discussion of the physical mechanism leading to the instability is given.https://authors.library.caltech.edu/records/6xgqs-qt771