Heat transfer in packed bed

Input(s)

a: Number of Particles in Bed (dimensionless)

$\mathrm{S}_{\mathrm{dz}}$: Representative Volume for Each Particle $\left(\mathrm{m}^{3}\right)$

$T_{o}$: Final Temperature $(\mathrm{K})$

$T_{b}$: Initial Temperature $(\mathrm{K})$

$h_{\text {loc }}$: Heat Transfer Coefficient $(\mathrm{W} / \mathrm{m} \mathrm{K})$

Output(s)

dQ: Heat Loss $(\mathrm{J} / \mathrm{s})$

Formula(s)

$$ \mathrm{dQ}=\mathrm{h}_{\mathrm{loc}} * \mathrm{a} *(\mathrm{Sdz}) *\left(\mathrm{~T}_{\mathrm{o}}-\mathrm{T}_{\mathrm{b}}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 14, Page: 441.