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Thermohydrodynamics of Circumstellar Disks with High-Mass Planets

机译:高质量行星的恒星盘的热流体动力学

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With a series of numerical simulations, we analyze the thermohydrodynamic evolution of circumstellar disks containing Jupiter-sized protoplanets. In the framework of a two-dimensional approximation, we consider an energy equation that includes viscous heating and radiative effects in a simplified yet consistent form. Multiple nested grids are used in order to study both global and local features around the planet. By means of different viscosity prescriptions, we investigate various temperature regimes. A planetary mass range from 0.1 to 1 MJ is examined. Computations show that gap formation is a general property that affects density, pressure, temperature, optical thickness, and radiated flux distributions. However, it remains a prominent feature only when the kinematic viscosity is on the order of 1015 cm2 s-1 or lower, although it becomes rather shallow for 0.1 MJ perturbers. Around accreting planets, a circumplanetary disk forms that has a surface density profile decaying exponentially with distance and whose mass is 5-6 orders of magnitude smaller than Jupiter's mass. Circumplanetary disk temperature profiles decline roughly as the inverse of the distance from the planet, matching the values measured in the gap toward the border of the Roche lobe. Temperatures range from some 10 to ~1000 K. Moreover, circumplanetary disks are generally opaque, with optical thicknesses larger than 1 and aspect ratios around a few tenths. Nonaccreting protoplanets provide quite different scenarios, with a clockwise, i.e., reversed flow, rotation around low-mass bodies. Planetary accretion and migration rates depend on the viscosity regime, with discrepancies within an order of magnitude. Co-orbital torques increase as viscosity increases. For high viscosities, type I migration may extend to larger planetary masses. Estimates of growth and migration timescales inferred from these models are on the same orders of magnitude as those previously obtained with locally isothermal simulations, in both two and three dimensions.
机译:通过一系列数值模拟,我们分析了包含木星大小的原行星的圆盘的热流体动力学演化。在二维近似的框架内,我们考虑一个能量方程,该方程以简化而一致的形式包括粘性加热和辐射效应。为了研究地球周围的全局和局部特征,使用了多个嵌套网格。通过不同的粘度处方,我们研究了各种温度范围。检查了行星质量范围从0.1到1 MJ。计算表明,间隙形成是影响密度,压力,温度,光学厚度和辐射通量分布的一般属性。但是,仅当运动粘度为1015 cm2 s-1或更低时,它仍然是一个突出的特征,尽管对于0.1 MJ的摄动器来说它变得很浅。在增生的行星周围,形成一个外行星盘,其表面密度分布随距离呈指数衰减,其质量比木星的质量小5-6个数量级。随着与行星距离的倒数,周行星盘温度分布大致下降,与在间隙中测得的罗氏叶边界相匹配。温度范围从大约10到〜1000K。此外,外行星盘通常是不透明的,光学厚度大于1,纵横比约为十分之几。不增生的原行星提供了截然不同的情况,即顺时针(即逆流)绕低质量物体旋转。行星的吸积和迁移速率取决于粘度范围,差异在一个数量级内。同向转矩随着粘度的增加而增加。对于高粘度,I型迁移可能会扩展到更大的行星质量。从这些模型推断出的生长和迁移时间尺度的估计,与先前通过局部等温模拟获得的二维和三个维度的数量级相同。

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