Quick Answer
Calculate Thermal Expansion Relief Depressurization Time Calculator
Calculator
Result Interpretation
Thermal Expansion Relief Depressurization Time Calculator computes Depressurization Time in s using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Temperature Rise = 15
- Valve Flow Coefficient = 0.0012
- Pressure Drop Across Valve = 120000
- System Liquid Volume = 2
- Relief Valve Orifice Area = 0.00015
- Liquid Density = 950
- Liquid Thermal Expansion Coefficient = 0.00025
Expected Result:
- Depressurization Time = 2621.4702900246
Engineering Interpretation:
Under the given input conditions, the calculated result is: Depressurization Time = 2621.4702900246 s.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
depressurization time = (system liquid volume * liquid thermal expansion coefficient * temperature rise) / (valve flow coefficient * sqrt(2.0 * pressure drop across valve / liquid density) * relief valve orifice area)Formula family: formula_processsafety_thermal_expansion_relief_depressurization_time_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| V_system | System Liquid Volume | INPUT | System Liquid Volume |
| beta_liquid | Liquid Thermal Expansion Coefficient | INPUT | Liquid Thermal Expansion Coefficient |
| dT | Temperature Rise | INPUT | Temperature Rise |
| C_v | Valve Flow Coefficient | INPUT | Valve Flow Coefficient |
| delta_P | Pressure Drop Across Valve | INPUT | Pressure Drop Across Valve |
| rho_liquid | Liquid Density | INPUT | Liquid Density |
| A_orifice | Relief Valve Orifice Area | INPUT | Relief Valve Orifice Area |
| depressurization_time | Depressurization Time | OUTPUT | Depressurization Time |
Calculation Steps
- Enter the system liquid volume in m^3.
- Enter the liquid thermal expansion coefficient in K^-1.
- Enter the temperature rise in K.
- Enter the valve flow coefficient in m^3/s/Pa^0.5.
- Enter the pressure drop across valve in Pa.
- Enter the liquid density in kg/m^3.
- Enter the relief valve orifice area in m^2.
- Step 1: Compute depressurization time.
- Read the depressurization time (s) from the results.
Engineering Summary
Calculate Thermal Expansion Relief Depressurization Time Calculator
Frequently Asked Questions
What does this calculator calculate?
The Thermal Expansion Relief Depressurization Time Calculator estimates Depressurization Time based on the input parameters you provide
Why is system liquid volume important in this calculation?
system liquid volume is directly proportional to depressurization time. When you enter system liquid volume in m^3, the calculator uses it in the engineering formula to compute the output
How should I interpret the result depressurization time?
The calculator outputs depressurization time in s. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: System Liquid Volume (m^3), Liquid Thermal Expansion Coefficient (K^-1), Temperature Rise (K), Valve Flow Coefficient (m^3/s/Pa^0.5), Pressure Drop Across Valve (Pa), Liquid Density (kg/m^3), Relief Valve Orifice Area (m^2). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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