Version 8 (modified by 11 years ago) ( diff ) | ,
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Assume there is driving force
and and the wind is in steady state.
Use
and become:(1)
Where
Differentiate
with respect to , get(2)
Substitute (2) into (1)
(3)
Critical point will happen at:
With velocity determined by:
Different wind initial speed,
and will give very different profile. One solution of interest is: subsonic initial wind accelerate all the way to the critical point and become supersonic when at very large with andWhere
are initial radius and velocity.These driving force will affect mass loss rate significantly. Calculated by:
Typically,
and will change with in 2 order of magnitude, but may change easily by 10 order of magnitude.
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