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| \usepackage{tikz}
\usetikzlibrary{tikzmark}
\begin{frame}{Thermal Resistance Model}
\vspace{1cm}
$$
\frac{R_t}{R_{1d\_0}} = \tikzmark{markrf} \frac{R_F}{R_{1d\_0}}\cdot \tikzmark{markr1d} \frac{R_{1d}}{R_{1d\_0}}\cdot \tikzmark{markrw} \left[ \frac{R_t}{R_{1d}}\left( \frac{R_F}{R_{1d\_0}} \right)^{-1} \right]
$$
$$
\begin{aligned}
& \frac{R_F}{R_{1d\_0}} = 1 + (\frac{w}{w_g})^2(\frac{w}{t})\sum_{n=1}^{\infty} \frac{8 \sin ^{2}\left(\frac{w_g n\pi}{2w}\right) * \cos^2(\frac{n\pi}{2})}{(n\pi)^3 \coth(\frac{tn\pi}{w} )} \\
& \frac{R_{1d}}{R_{1d\_0}} = 1 + 2/3 Kn_t \\
& \left[ \frac{R_t}{R_{1d}}\left( \frac{R_F}{R_{1d\_0}} \right)^{-1} \right] = r_w = 1 + A_w\left( w_g/w, w/t \right) \\
\end{aligned}
$$
\begin{tikzpicture}[
remember picture,
overlay,
expl/.style={draw=orange,rounded corners,text width=3cm},
arrow/.style={red!80!black,thick,->,>=latex}
]
\node[expl]
(RF)
at (1.5, 6.3)
{Thermal spreading part};
\node[expl]
(R1D)
at (5.5, 6.3)
{Cross-plane ballistic part};
\node[expl]
(rw)
at (9.5, 6.3)
{Heat source ballistic part};
\draw[arrow] (RF.south east) to[out=-20, in=90] ([xshift= 1ex, yshift=3ex]{pic cs:markrf});
\draw[arrow] (R1D.south) to[out=-90, in=20] ([xshift= 3ex, yshift=3ex]{pic cs:markr1d});
\draw[arrow] (rw.south west) to[out=-160, in=80] ([xshift= 8ex, yshift=3ex]{pic cs:markrw});
\end{tikzpicture}
\end{frame}
|
