Fire engineering

1. Smoke layer descent
2. SBI heat release rate
3. Effective leakage area
4. Heskestad flame height
5. Window flame projection (Law/BRE)
6. Point-source radiant heat flux
7. Configuration-factor radiation
8. FDS mesh cell size
9. Conductive heat transfer rate

$$\dot{m}_p=0.071\dot{Q}_c^{1/3}Z^{5/3}+0.0018\dot{Q}_c\text{ (large HRR form)},\quad Z_d=t\!\left(\frac{\rho_\infty\!\left(\frac{\dot{Q}_c}{\rho_\infty c_p T_\infty}\right)^{1/3}\!z_i^{5/3}}{0.21\rho_\infty A}\right)^{-1}$$

Estimates time for the smoke layer interface to descend to height $z_i$ in an un-vented compartment using N-percent fill.

$$\text{FIGRA}_{0.2\text{MJ}}=\max\!\left(\frac{\text{HRR}(t)}{t}\right),\quad\text{HRR}_\text{avg,300s}=\frac{1}{300}\int_{t_{\text{ign}}}^{t_{\text{ign}}+300}\!\text{HRR}(t)\,dt$$

Reconstructs approximate FIGRA and total heat release from HRR vs. time data typed or pasted.

$$\text{ELA}=V_f\sqrt{\frac{\rho}{2\Delta P}}\frac{\Delta P_{ref}^{1/2-n}}{\Delta P_f^{1/2-n}},\quad V_{\text{ACH}50}= \text{ELA}/V_b\sqrt{\frac{2}{\rho}}\cdot50^n$$

$$L_f=-1.02D+0.235\,\dot{Q}^{2/5},\quad\text{for }\dot{Q}^*<1$$

Also reports virtual origin $z_0$ and centerline temperature rise at height z.

$$L_f=12.8\!\left(\frac{\dot{m}_f}{\rho_o\sqrt{g}\,w^{5/2}}\right)^{2/3}-h_w$$

$$\dot{q}''=\frac{\chi_r\dot{Q}}{4\pi R^2}$$

$$\dot{q}''=\phi\cdot E$$

Computes configuration factor $\phi$ for a rectangular emitter panel at arbitrary receiver position. Requires Voici server.

$$D^*=\left(\frac{\dot{Q}}{\rho_\infty c_p T_\infty\sqrt{g}}\right)^{2/5},\quad dx=\frac{D^*}{(D^*/dx)_{\text{target}}}$$

$$\dot{Q}=\frac{kA\Delta T}{L}$$