--- trunk/doc/cookbook/example01.tex 2010/03/01 01:31:59 2956 +++ trunk/doc/cookbook/example01.tex 2010/03/02 01:28:19 2957 @@ -21,15 +21,14 @@ \label{Sec:1DHDv00} The first model consists of two blocks of isotropic material, for instance granite, sitting next to each other. -Initially, \textit{Block 1} is of a temperature -\verb|T1| and \textit{Block 2} is at a temperature \verb|T2|. +Initial temperature in \textit{Block 1} is \verb|T1| and in \textit{Block 2} is \verb|T2|. We assume that the system is insulated. What would happen to the temperature distribution in each block over time? -Intuition tells us that heat will transported from the hotter block to the cooler until both +Intuition tells us that heat will be transported from the hotter block to the cooler until both blocks have the same temperature. \subsection{1D Heat Diffusion Equation} -We can model the heat distribution of this problem over time using the one dimensional heat diffusion equation\footnote{A detailed discussion on how the heat diffusion equation is derived can be found at \url{http://online.redwoods.edu/instruct/darnold/DEProj/sp02/AbeRichards/paper.pdf}}; +We can model the heat distribution of this problem over time using one dimensional heat diffusion equation\footnote{A detailed discussion on how the heat diffusion equation is derived can be found at \url{http://online.redwoods.edu/instruct/darnold/DEProj/sp02/AbeRichards/paper.pdf}}; which is defined as: \rho c\hackscore p \frac{\partial T}{\partial t} - \kappa \frac{\partial^{2} T}{\partial x^{2}} = q\hackscore H