Fire Dynamics Tools | Ch. 2 | Eq. 2.6

Hot Gas Temperature Increase (Beyler Method)

Calculates the hot gas temperature increase using the Beyler method for forced ventilation

Reference

Fire Dynamics Tools (FDTs): Quantitative Fire Hazard Analysis Methods for the U.S. Nuclear Regulatory Commission Fire Protection Inspection Program. NUREG-1805.

Equations

\Delta T_g = \frac{2 \cdot \frac{\dot{Q}}{\dot{m} \cdot c_p}}{\left(\frac{2 \cdot 0.4 \cdot \sqrt{k \cdot \rho \cdot c}}{\dot{m} \cdot c_p}\right)^2} \cdot \left(\frac{2 \cdot 0.4 \cdot \sqrt{k \cdot \rho \cdot c}}{\dot{m} \cdot c_p} \cdot \sqrt{t} - 1 + e^{-\frac{2 \cdot 0.4 \cdot \sqrt{k \cdot \rho \cdot c}}{\dot{m} \cdot c_p} \cdot \sqrt{t}}\right)

Inputs

Thermal conductivity of boundary ( k ) — kW/(m \cdot K)

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Density of boundary ( \rho ) — kg/m^{3}

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Specific heat of boundary ( c ) — kJ/(kg \cdot K)

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Time ( t ) — s

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Mass flow rate of gas ( \dot{m} ) — kg/s

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Specific heat of gas ( c_p ) — kJ/(kg \cdot K)

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Heat release rate ( \dot{Q} ) — kW

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