Heat flux distribution in a wall

Input(s)

k: Thermal Conductivity (J/ft s K)

x\mathrm{x}: Distance from Center of Wall (ft)

b: Breadth of Wall (ft)(\mathrm{ft})

ToT_{o}: Initial Temperature of Wall (K)

T1T_{1}: Final Temperature of Wall (K)

Output(s)

Q: Heat Flux (J)

Formula(s)

Q=2ksec(πxb)(T1To)bQ=\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.


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