Note:

This calculator predicts the temperature history during homogeneous-vessel venting, considering heat release, specific heat, volume, latent heat, initial mass, specific volume, and emptying time.

Formula Explanation:

The formula calculates the temperature (T) at a given time (t) during venting, accounting for heat input and the cooling effect of vaporization.

Parameters:

• T (Temperature): The temperature at time t.
• Tr (Set Temperature): The initial or set temperature.
• q (Heat Release Rate): The rate of heat release per unit mass.
• t (Time): The time elapsed since the start of venting.
• Cv (Specific Heat): The specific heat at constant volume.
• V (Volume): The volume of the vessel.
• hfa (Latent Heat): The latent heat of vaporization.
• mo (Initial Mass): The initial mass of the substance.
• vfa (Specific Volume): The specific volume of the liquid.
• tr (Emptying Time): The time it takes to empty the vessel.

Real-life Applications:

• Chemical Process Safety: Predicting temperature rise during runaway reactions and venting.
• Emergency Relief System Design: Designing relief systems to handle thermal events.
• Thermal Hazard Analysis: Assessing potential thermal hazards in processes.

Conclusion:

This calculation helps in understanding and mitigating thermal hazards during venting processes. Accurate input is crucial for reliable results.