Kinetics of Materials

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Page 119 — 5 corrections

Eq. 5.102

$\displaystyle dT =
\frac{1}{c_P} \left[ \frac{P dt}{2(\pi \kappa t)^{1/2}}\right]
  e^{-x^2/(4\kappa t)}
$

Eq. 5.104

$\displaystyle T(x,y) = -2 a_1 \int_\infty^{1/y^2} \frac{\exp \left(-a_2 y^2\right)}{y^2}
dy
$

Text Following Eq. 104

Integrating by parts yields

Eq. 5.106

$\displaystyle T(x,t) = \frac{P}{c_P} \sqrt{\frac{t}{\pi \kappa}}  
\exp \left(...
... -
\frac{Px}{2 c_P \kappa} \left[ 1 - \erf \frac{x}{2 \sqrt{\kappa t}}
\right]
$

Eq. 5.107

\begin{displaymath}
\begin{split}
Q & = 2 \int_0^\infty T(x,t)   c_P  dx \\
&...
...erf \frac{x}{2
\sqrt{\kappa t}}
\right) dx
\right]
\end{split}\end{displaymath}



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Kinetics of Materials 2006-01-04