ML Consultancy Hyderabad

Temperature History Equation (All-Vapor and All-Liquid Venting) Calculator

Set Temperature (Tr) in Kelvin:

Heat Release Rate (q) in J/kg:

Specific Heat (Cv) in J/kg.K:

Time (t) in seconds:

Latent Heat of Vaporization (hfa) in J/kg:

Specific Volume of Liquid (vfa) in m³/kg:

Emptying Time (tr) in seconds:

Note:

The **Temperature History Equation** helps in predicting temperature evolution in fire safety scenarios where heat is applied to a closed system. It accounts for heat release, specific heat, phase change effects, and emptying time.

Parameters Explained:

T: Final Temperature (K) – The temperature of the system after heat transfer.
Tr: Initial Set Temperature (K) – The starting temperature before heat transfer.
q: Heat Release Rate per Unit Mass (J/kg) – The energy released or absorbed per unit mass.
t: Time Elapsed (s) – The time duration over which changes occur.
Cv: Specific Heat at Constant Volume (J/kg·K) – The heat required to raise the temperature of 1 kg by 1 K at constant volume.
hfa: Latent Heat of Vaporization (J/kg) – The energy needed to convert liquid to vapor without temperature change.
vfa: Specific Volume of Liquid (m³/kg) – The volume occupied by 1 kg of liquid.
tr: Emptying Time (s) – The time required for complete emptying of a container.

Real-life Applications:

Fire safety engineering – estimating temperature rise in pressure vessels.
Explosion risk analysis in chemical industries.
Predicting heat stress on safety equipment.

Conclusion:

This equation is crucial for predicting temperature changes in a fire or heat application scenario. Properly understanding these parameters ensures accurate safety assessments.