Show
Ignore:
Timestamp:
06/30/06 17:49:21 (4 years ago)
Author:
powell
Message:

A couple of tweaks to the castshell problem.

Files:
1 modified

Legend:

Unmodified
Added
Removed
  • trunk/matml/transport/problems/castshell/castshell-solution.tex

    r69 r267  
    4444 
    4545  \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 solid 
     46    radiation/convection from the surface.  So the heat flux in the solid 
    4747    goes like: 
    4848    $$q_s=\frac{T_m-T_{env}}{\frac{Y}{k_s}+\frac{1}{h_{total}}}.$$ 
     
    5757    $$q_s=\frac{T_m-T_{env}}{\frac{Y}{k_s}+ 
    5858      \frac{1}{\epsilon\sigma\left(T_m-\frac{q_sY}{k_s}\right)^3 + h}}.$$ 
    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}. 
    6162  \end{enumerate} 
    6263\end{enumerate} 
    6364\end{document} 
     65%%% Local Variables: 
     66%%% TeX-PDF-mode: t 
     67%%% End: