Slip Correction Measurements for Solid Spherical Particles by Modulated Dynamic Light Scattering

Hutchins, D. K.; Harper, Marvin; Felder, R. L.

doi:10.1080/02786829408959741

Cited by 109 publications

(67 citation statements)

References 13 publications

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“…Here, η is the gas viscosity, C is the Cunningham correction factor accounting for the different flow regimes and is given as (Hutchins et al 1995) .…”

Section: Fu-orionis Disks and Caismentioning

confidence: 99%

Outward transport of CAIs during FU‐Orionis events

Wurm¹,

Haack

2009

Meteorit & Planetary Scien

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available online at http://meteoritics.org Abstract-Evidence from meteorites shows that the first solids to form in the solar system, calciumaluminum-rich inclusions (CAIs), were transported outward from the Sun by several AU in the early solar system. We introduce a new concept of levitation and outward transport of CAIs at the surface of protoplanetary disks. Thermal radiation from the disk and the Sun can cause particles to levitate above the disk and drift outward through a process known as photophoresis. During normal conditions this process only works for dust-sized particles but during high luminosity events like FU-Orionis Outward transport of CAIs during FU-Orionis events

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“…Here, η is the gas viscosity, C is the Cunningham correction factor accounting for the different flow regimes and is given as (Hutchins et al 1995) .…”

Section: Fu-orionis Disks and Caismentioning

confidence: 99%

Outward transport of CAIs during FU‐Orionis events

Wurm¹,

Haack

2009

Meteorit & Planetary Scien

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“…T HE solution of the incompressible laminar boundary-layer equations under rarefied flow conditions at low Mach numbers has applications to several areas of engineering interest, including aerosol science [1], subsonic flight in extraterrestrial atmospheres [2], and micro and nano air vehicles [3,4]. Early attempts to solve the boundary-layer equations with a slip boundary condition analytically or using perturbation methods yielded a variety of results.…”

mentioning

confidence: 99%

Falkner-Skan Flow Over a Wedge with Slip Boundary Conditions

Martin

Boyd

2009

47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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The Falkner-Skan solution for laminar boundary-layer flow over a wedge is modified to allow for a slip boundary condition. A modified boundary-layer Knudsen number K is introduced, and the coordinate system is transformed from one-dimensional to two-dimensional to allow for the loss of self-similarity in the flow. A marching scheme is used to solve the boundary-layer equations in the rarefied flow regime. The results of this solution show decreased skin friction, boundary-layer thickness, velocity thickness, and momentum thickness because of the presence of the slip boundary condition. When the energy equation is solved using a temperature-jump boundary condition, the heat transfer increases for slightly rarefied flows, and then decreases as the Knudsen number increases.

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“…This assumes Stokes friction, which is justified because the Reynolds numbers for the drift of particles smaller than 10 cm are well below 1. The Cunningham correction factor, C c , accounts for the transition between the different flow regimes (Cunningham 1910) and is given as (Hutchins 1995)…”

Section: Balistic Transportmentioning

confidence: 99%

Photophoretic transport of hot minerals in the solar nebula

Moudens¹,

Mousis²,

Petit³

et al. 2011

A&A

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Context. Hot temperature minerals have been detected in a large number of comets and were also identified in the samples of Comet Wild 2 that were returned by the Stardust mission. Meanwhile, observations of the distribution of hot minerals in young stellar systems suggest that these materials were produced in the inner part of the primordial nebula and have been transported outward in the formation zone of comets. Aims. We investigate the possibility that photophoresis provides a viable mechanism to transport high-temperature materials from the inner solar system to the regions in which the comets were forming. Methods. We use a grid of time-dependent disk models of the solar nebula to quantify the distance range at which hot minerals can be transported from the inner part of the disk toward its outer regions as a function of their size (10 −5 to 10 −1 m) and density (500 and 1000 kg m −3 ). These models will also yield information on the disk properties (radius of the inner gap, initial mass, and lifetime of the disk). The particles considered here are in the form of aggregates that presumably were assembled from hot mineral individual grains ranging down to submicron sizes and formed by condensation within the hottest portion of the solar nebula. Our particle-transport model includes the photophoresis, radiation pressure, and gas drag. Results. Depending on the postulated disk parameters and the density of particles, 10 −2 to 10 −1 m aggregates can reach heliocentric distances up to ∼35 AU in the primordial nebula over very short timescales (no more than a few hundred thousand years). 10 −3 m particles follow the same trajectory as the larger ones but their maximum migration distance does not exceed ∼26 AU and is reached at later epochs in the disks. On the other hand, 10 −5 to 10 −4 m aggregates are continuously pushed outward during the evolution of the solar nebula. Depending on the adopted disk parameters, these particles can reach the outer edge of the nebula well before its dissipation. Conclusions. Our simulations suggest that irrespective of the employed solar nebula model, photophoresis is a mechanism that can explain the presence of hot temperature minerals in the formation region of comets. Comets probably had the time to trap the dust transported from the inner solar system either in their interior during accretion or in the form of shells surrounding their surface if they ended their growth before the particles reached their formation location.

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Slip Correction Measurements for Solid Spherical Particles by Modulated Dynamic Light Scattering

Cited by 109 publications

References 13 publications

Outward transport of CAIs during FU‐Orionis events

Outward transport of CAIs during FU‐Orionis events

Falkner-Skan Flow Over a Wedge with Slip Boundary Conditions

Photophoretic transport of hot minerals in the solar nebula

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