This professional-grade, two-step utility provides a comprehensive solution for sizing air receiver vessels in process design. It is engineered to first determine the precise required volume based on process demand and subsequently verify the thermodynamic adequacy of the selected vessel dimensions.

Design your utility systems with confidence and precision.

Step 1. Air Receiver Requirement

Step 2. Size Selection & Verification

📘 Technical Guide: Air Receiver Sizing Principle

Air receiver sizing relies on the principles of mass balance and the Ideal Gas Law. This tool simplifies the complex calculations required to maintain instrument air pressure during a compressor failure or peak demand.

1. Step 1: Required Volume Calculation

The required volume ($V_{req}$) is determined by the maximum allowable pressure drop during the specified holding time.

$$V_{req} = Q_{req_N} \times \frac{P_{atm}}{P_1 - P_2} \times \frac{T + 273.15}{273.15}$$

  • $Q_{req_N}$: Total air consumption during the holding time ($Nm^3$)
  • $P_1, P_2$: Operating and minimum acceptable pressures ($kg/cm^2a$)
  • $P_{atm}$: Standard atmospheric pressure ($1.0332 , kg/cm^2a$)
  • $T$: Operating temperature ($^\circ C$)

Size Suggestion: To help engineers select standard dimensions, the tool automatically suggests a required Diameter ($D$) and Straight Length ($L$) based on a standard L/D ratio of 3 and 2:1 Ellipsoidal heads.

2. Step 2: Verification using the Ideal Gas Law

Once the dimensions are selected, the tool validates the actual delivered capacity. It converts all pressures to absolute Bar and applies the Ideal Gas Law:

$$P V = n R T$$

  • R (Universal Gas Constant): $0.08478 , m^3\cdot kg/cm^2 / (kgmol\cdot K)$
  • Initial & Final Moles ($n_1, n_2$): Calculated based on the selected volume ($V_{sel}$) at $P_1$ and $P_2$.
  • Delivered Air: The difference in moles ($\Delta n = n_1 - n_2$) is converted back to Normal cubic meters ($Nm^3$) to verify if the selected vessel meets the required consumption rate.

⚠️ Engineering Assumptions

  • Compressibility Factor ($Z$): For standard compressed air systems operating under 10 bar, $Z$ is assumed to be $1.0$ (Ideal Gas).
  • Standard Condition: Normal volume ($Nm^3$) is based on $0^\circ C$ and $1 , atm$.
  • Process: The depressurization process is assumed to be Isothermal, which is the industry standard approach for utility receiver sizing.