Heat flux distribution in a wall
Input(s)
k: Thermal Conductivity (J/ft s K)
\(\mathrm{x}\): Distance from Center of Wall (ft)
b: Breadth of Wall \((\mathrm{ft})\)
\(T_{o}\): Initial Temperature of Wall (K)
\(T_{1}\): Final Temperature of Wall (K)
Output(s)
Q: Heat Flux (J)
Formula(s)
\[
Q=\frac{2 * k * \sec \left(\frac{\pi * x}{b}\right) *\left(T_{1}-T_{o}\right)}{b}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 12, Page: 387.