Changes between Version 8 and Version 9 of u/erica/RadFeedback


Ignore:
Timestamp:
11/19/15 12:11:33 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/RadFeedback

    v8 v9  
    77== Accretion Luminosity ==
    88
    9 The amount of energy deposited into the kernel around a sink is intuitively given by the accretion energy. As infalling material hits the surface of the star, its kinetic energy is converted to heat. For spherically symmetry, a gas parcel falling to the star from infinity will have its kinetic energy and gravitational energy balanced once the parcel reaches the star:
     9The amount of energy deposited into the kernel around a sink is intuitively given by the accretion energy. As infalling material hits the surface of the star, its kinetic energy is converted to heat. For spherical symmetry, a gas parcel freely falling to the star from infinity will have its kinetic energy and gravitational energy balanced once the parcel reaches the star:
    1010
    11 [[latex($\frac{1}{2} m v^2 = \frac{GmM}{r}$)]]
     11[[latex($\frac{1}{2} m v_{ff}^2 = \frac{GmM}{r}$)]]
    1212
    13 This kinetic energy is then converted to heat as it is accreted by the star. For an accretion rate [[latex($\dot{m}$)]], the rate at which this heat is released, or the luminosity L, is given by:
     13As the material strikes the surface of the star (i.e. is accreted) the kinetic energy is then converted to heat. For an accretion rate [[latex($\dot{m}$)]], the rate at which this heat is released, or the luminosity L, is given by:
    1414
    1515[[latex($ L = \frac{1}{2}\dot{m} v_{ff}^2 = \dot{m}\frac{GM}{r}$)]]