Industrialgas Engineering

Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change) calculator

Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change) engineering calculator.

Quick Answer

Calculate Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change)

Calculator

Relief valve discharge area (m²)
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Result Interpretation

Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change) calculator computes Relief valve discharge area in m^2 using the defined engineering formula and the input values provided. Relief valve discharge area is expressed in m^2. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Maximum required mass flow rate = 0.85
  • Specific gas constant = 207.7
  • Initial fill temperature = 293.15
  • Discharge coefficient = 0.975
  • Relief valve set pressure (absolute) = 20000000
  • Isentropic exponent (Cp/Cv) = 1.3

Expected Result:

  • Relief valve discharge area = 0.0001247

Engineering Interpretation:

Under the given input conditions, the calculated result is: Relief valve discharge area = 0.0001247 m^2.

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

relief valve discharge area = (maximum required mass flow rate * sqrt(specific gas constant * initial fill temperature)) / (discharge coefficient * absolute * sqrt(Cp/Cv / (Cp/Cv - 1)) * pow((2 / (Cp/Cv + 1)), (Cp/Cv + 1) / (2 * (Cp/Cv - 1))))

Formula family: formula_industrialgas_cylinder_relief_valve_sizing_thermal_overpressure

Variables

SymbolLabelRoleDescription
mass_flow_rate_max Maximum required mass flow rate INPUT Maximum required mass flow rate
R_specific Specific gas constant INPUT Specific gas constant
T_fill Initial fill temperature INPUT Initial fill temperature
C_d Discharge coefficient INPUT Discharge coefficient
P_set Relief valve set pressure (absolute) INPUT Relief valve set pressure (absolute)
k Isentropic exponent (Cp/Cv) INPUT Isentropic exponent (Cp/Cv)
relief_valve_discharge_area Relief valve discharge area OUTPUT Relief valve discharge area

Calculation Steps

  1. Enter the maximum required mass flow rate in kg/s.
  2. Enter the specific gas constant in J/(kg*K).
  3. Enter the initial fill temperature in K.
  4. Enter the discharge coefficient in dimensionless.
  5. Enter the relief valve set pressure (absolute) in Pa.
  6. Enter the isentropic exponent (cp/cv) in dimensionless.
  7. Step 1: Compute relief valve discharge area.
  8. Read the relief valve discharge area (m^2) from the results.

Engineering Summary

Calculate Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change)

Frequently Asked Questions

What does this calculator calculate?

The Industrial Gas Cylinder Thermal Overpressure Relief Area (with Phase Change) calculator estimates Relief valve discharge area based on the input parameters you provide

Why is maximum required mass flow rate important in this calculation?

maximum required mass flow rate is directly proportional to relief valve discharge area. When you enter maximum required mass flow rate in kg/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result relief valve discharge area?

The calculator outputs relief valve discharge area in m^2. 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: Maximum required mass flow rate (kg/s), Specific gas constant (J/(kg*K)), Initial fill temperature (K), Discharge coefficient (dimensionless), Relief valve set pressure (absolute) (Pa), Isentropic exponent (Cp/Cv) (dimensionless). 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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