Changes between Version 23 and Version 24 of u/erica/radtimescales
- Timestamp:
- 04/04/16 13:21:40 (9 years ago)
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u/erica/radtimescales
v23 v24 163 163 Tackling this slightly differently could be starting from the optically thick limit, [[latex($\lambda\approx 1/3$)]]. Then, we should be able to predict the timescale over which we would see a well-defined 'diffusion wave' propagate through the grid. 164 164 165 = Diffusion estimate for optically thick 1 solar mass core =165 = Diffusion estimate for optically thick, 1 solar mass core = 166 166 167 167 If we let, 168 168 169 [[latex($R= 1$)]], thenwe have170 171 [[latex($ l=\frac{1}{\kappa_R \rho}=h$)]]172 173 and from before,174 175 [[latex($ M=\rho l^3$)]]169 [[latex($R=\frac{l}{h}=1$)]] (so that [[latex($\lambda\approx 1/3$)]]), we have 170 171 [[latex($\boxed{l=h}$)]] 172 173 From before, 174 175 [[latex($\boxed{1 M_\odot =\rho l^3}$)]] 176 176 177 177 Solving these two equations gives: