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.