Enrichment of the dust-to-gas mass ratio in Bondi/Jeans accretion/cloud systems due to unequal changes in dust and gas incoming velocities
P. M. Bellan

TL;DR
This paper presents a model of cloud accretion combining Bondi and Jeans regimes, showing that dust-gas velocity differences lead to dust enrichment in the cloud, exceeding typical interstellar medium levels.
Contribution
It introduces a combined Bondi/Jeans accretion model that accounts for dust-gas velocity disparities, explaining dust enrichment in cloud systems.
Findings
Dust-to-gas ratio can be significantly increased due to dust pile-up.
The model predicts a smooth transition from wind-type to Bonnor-Ebert density profiles.
Dust enrichment surpasses the typical 1% ISM level.
Abstract
The ratio of the Bondi and Jeans lengths is used to develop a cloud-accretion model that describes both an inner Bondi-type regime where gas pressure is balanced by the gravity of a central star and an outer Jeans-type regime where gas pressure is balanced by gas self-gravity. The gas density profile provided by this model makes a smooth transition from a wind-type inner solution to a Bonnor-Ebert type outer solution. It is shown that high-velocity dust impinging on this cloud will tend to pile-up due to having a different velocity profile than gas so that the dust-to-gas ratio is substantially enriched above the 1% ISM level.
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