this is for holding javascript data
Pol Grasland-Mongrain edited Introduction.tex
over 8 years ago
Commit id: 1deb33e31afd76f391c8ec9f36082c4a5b9b9f4a
deletions | additions
diff --git a/Introduction.tex b/Introduction.tex
index eb74eed..b8a6104 100644
--- a/Introduction.tex
+++ b/Introduction.tex
...
Similarly to the thermoelastic regime, this leads to a displacement $u_z$:
\begin{equation}
u_z = \frac{\zeta}{\rho (\lambda + 2 \mu)}\frac{I^2}{(L+C(T_V-T_0))^2} \approx \frac{\zeta}{\rho
\lambda}\frac{E^2}{S^2 \tau^2 (L+C(T_V-T_0))^2} \lambda}\frac{E^2/S^2 \tau^2}{(L+C(T_V-T_0))^2}
\label{eq:deplAbla}
\end{equation}
Estimating $\zeta$ equal to 100 $\mu$m (average depth of absorption), $\lambda$ = 2 GPa (first Lamé's coefficient of water), $L$ = 2.2 MJ.kg$^{-1}$ (vaporization latent heat of water), $C$ = 4180 J.kg$^{-1}$.K$^{-1}$ (water heat capacity), $T_V-T_0$ = 373-293 = 80 K (water vaporization temperature minus laboratory temperature), $\rho$ = 1000 kg.m$^{-3}$ (water density), $E$ = 200 mJ, $S$ = 20 mm$^2$, $\tau$ = 20 ns, we obtain a displacement $u_z$ approximately equal to 2.0 $\mu$m. This value is four times higher than the one obtained with thermoelastic expansion.
...