Changeset 267 for trunk/matml/transport/problems/castshell
- Timestamp:
- 06/30/06 17:49:21 (4 years ago)
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- 1 modified
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trunk/matml/transport/problems/castshell/castshell-solution.tex
r69 r267 44 44 45 45 \item We have resistances in series, due to conduction through the solid and 46 evaporation/convection from the surface. So the heat flux in the solid46 radiation/convection from the surface. So the heat flux in the solid 47 47 goes like: 48 48 $$q_s=\frac{T_m-T_{env}}{\frac{Y}{k_s}+\frac{1}{h_{total}}}.$$ … … 57 57 $$q_s=\frac{T_m-T_{env}}{\frac{Y}{k_s}+ 58 58 \frac{1}{\epsilon\sigma\left(T_m-\frac{q_sY}{k_s}\right)^3 + h}}.$$ 59 Then we need to solve this for $q_s$ (probably numerically), and use that 60 in the solidification rate equation from part \ref{rate}. 59 To complete this analysis, one would need to solve this for $q_s$ (probably 60 numerically), and use that in the solidification rate equation from part 61 \ref{rate}. 61 62 \end{enumerate} 62 63 \end{enumerate} 63 64 \end{document} 65 %%% Local Variables: 66 %%% TeX-PDF-mode: t 67 %%% End: