2006
DOI: 10.1086/500356
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Gas Flow across Gaps in Protoplanetary Disks

Abstract: We analyze the gas accretion flow through a planet-produced gap in a protoplanetary disk. We adopt the alpha disk model and ignore effects of planetary migration. We develop a semi-analytic, one-dimensional model that accounts for the effects of the planet as a mass sink and also carry out two-dimensional hydrodynamical simulations of a planet embedded in a disk. The predictions of the mass flow rate through the gap based on the semi-analytic model generally agree with the hydrodynamical simulations at the 25%… Show more

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Cited by 256 publications
(315 citation statements)
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“…A single planet of a few M Jup carves only a narrow gap (typically Δr gap /r gap ∼ 0.1) about its orbit in a viscous disk that is a few times more massive than the planet and as soon as the Hill's radius 5 is larger than the disk height (e.g., Lubow & D'Angelo 2006). This is not compatible with the large inner hole/gap observed in most transitional disks.…”
Section: Planetary Companionsmentioning
confidence: 93%
“…A single planet of a few M Jup carves only a narrow gap (typically Δr gap /r gap ∼ 0.1) about its orbit in a viscous disk that is a few times more massive than the planet and as soon as the Hill's radius 5 is larger than the disk height (e.g., Lubow & D'Angelo 2006). This is not compatible with the large inner hole/gap observed in most transitional disks.…”
Section: Planetary Companionsmentioning
confidence: 93%
“…This rapid gas accretion slows down when the giant planet opens a gap in the gas disk. According to hydrodynamic simulations (Kley 1999) the planet is not entirely isolated from the ambient gas, and accretion continues along tidally generated spiral arms (Lubow & D'Angelo 2006). Therefore, gas accretion onto the planet's surface stops only when the surrounding gas is dispersed and formation of a giant planet ends with the photoevaporation of the gas disk.…”
Section: Disk Dispersal In the Classic Core Accretion Scenariomentioning
confidence: 99%
“…This function is essentially a Gaussian similar to the vertical scale height, but with a different exponent of 3 as in Lubow & D'Angelo (2006), Eq. (5).…”
Section: Rounded-off Wallmentioning
confidence: 99%
“…However, gas flows back into the gap due to pressure gradients and viscous spreading, which tends to close the gap. Therefore, the shape of the surface density around a planet depends on its mass, the disk viscosity and scale height (Crida et al 2006;Lubow & D'Angelo 2006). In general, a heavier planet can carve out a deeper and wider gap, while a more viscous or thicker disk (higher pressure scale height) will reduce the gap width and depth.…”
Section: Gap Openingmentioning
confidence: 99%
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