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研究生： 張宇硯
Chang, Yu-Yen
論文名稱： 簡易平流冷卻吸積流模型及其應用
Simplified Advection-Dominated Accretion Flow Model and It's Application
指導教授： 游輝樟
Yo, Hwei-Jang
共同指導教授: 卜宏毅
Pu, Hung-Yi
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2023
畢業學年度： 111
語文別： 英文
論文頁數： 34
中文關鍵詞： 吸積 、吸積盤 、黑洞物理學 、流體力學
外文關鍵詞： accretion, accretion disks, black hole physics, hydrodynamics
相關次數： 點閱：123  下載：20 
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    • 在嘗試以平流冷卻吸積流來建立黑洞吸積模型時，人們往往會去尋找全域解。然而，
    由於吸積流跨音速的特性，即使在牛頓力學的表述下，計算全域解仍然相當棘手。
    從前人的工作得知，我們可以用一個簡單的代數關係(吸積流角速度正比於克卜勒角
    速度) 來替代吸積流的徑向動量守恆方程且不會造成太多誤差，這個操作可以大幅度
    降低方程組的複雜度。在這篇文章中，我們嘗試計算簡化後的方程組來得到近似的
    全域解，並探討吸積流的物理性質及這樣的解如何被不同的輻射冷卻機制及吸積盤
    風造成的質量流失影響。

    At low accretion rate, the accretion flow around a black hole can be described by the type of advection-dominated accretion flow (ADAF). Due to the transonic nature of the flow and the unknown position of the sonic point, solving global solution for an ADAF is a challenging task. Taking into account the self-similar behavior of the flow, it is possible to simplify the radial component of momentum conservative equation with physical motivated algebraic relation between flow angular momentum and Keplerian angular momentum. In this thesis, we solve the previously proposed simplified ADAF equations in Pseudo-Newtonian potential for approximate global solution, and explore the properties of accretion flow and how the solution may vary with the effect of radiative cooling mechanisms and mass loss due to the disk wind.

    摘要i Abstract ii 誌謝iii Table of Contents iv List of Figures vi Nomenclature vii Chapter 1. Introduction 1 Chapter 2. Advection-Dominated Accretion Flow Model 3 2.1. Physical Assumption 3 2.2. Basic Equations 4 2.2.1. Mass Conservation 4 2.2.2. Radial Momentum Conservation 5 2.2.3. Azimuthal Momentum Conservation 6 2.2.4. Energy Conservation 8 2.3. Self-Similar Solution 11 2.4. Radiation Mechanism 12 2.4.1. Synchrotron Cooling 14 2.4.2. Bremsstrahlung Cooling 14 2.4.3. Inverse Compton Scattering 15 Chapter 3. Sonic-Point Problem and Method of Simplication 17 3.1. The Transonic Nature of Accretion Flow 17 3.2. Method of Simplication and Approximate Global Solution 18 Chapter 4. Numerical Results: Validation 20 4.1. Case I: α = 0.1, f0 = 0.33, j = 1.08 GMc−1, ˙M = 10−3 ˙MEdd, β = 0.5 21 4.2. Case II: α = 0.3, f0 = 0.33, j = 0.98 GMc−1, ˙M = 10−5 ˙MEdd, β = 0.5 23 4.3. Case I & Case II but with β = 0.9 24 Chapter 5. Numerical Results: Applications and Discussion 26 5.1. Contribution of Different Energy Transfer Mechanisms 26 5.2. Contribution of Different Radiative Cooling Mechanisms 27 5.3. The Optical Depth of an ADAF: Frequency Dependence 28 5.4. Effect of The Outflows 30 Chapter 6. Summary 32 References 33

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