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Revisiting the Thermal Stability of Radiation ... - Users' Pages

Revisiting the Thermal Stability of Radiation ... - Users' Pages

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II.2 <strong>Thermal</strong> Instability Criterion• ⎡⎢⎣∂+( Q − Q∂T−) ⎤⎥⎦Σ>0⎡Q⎢⎣Q+vis,1+vis,0−fadvQ⋅Q−adv,1−adv,0− (1 −fadvQ) ⋅Q−rad ,1−rad ,0⎤⎥⎦TT10>0f /− +adv= QadvQvis<strong>Thermal</strong> instability criterion:∆ =2 − 5β − 4(1 + γ ) β − 6 f + 8 f β + (8 + 4γ)gasmagWhen Δ>0, disk solutions are <strong>the</strong>rmally unstable.advadvgasfadvβmag9

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