Follow us on Twitter ![]()
Question, remark ? Contact us at contact@myengineeringtools.com
| Section summary |
|---|
| 1. Introduction |
| 2. Main Concepts |
| 3. Calculation Methods and Formulas |
| 4. Calculation Examples & Interactive Calculator |
Compressor selection is a critical task for process engineers, impacting both capital expenditure and long-term operational efficiency. This article outlines a structured workflow for selecting the appropriate compressor for a given application, emphasizing the key parameters and calculations required. Think of this as a guide to help you navigate the complexities of compressor selection.
Selecting the right compressor demands a holistic evaluation, considering application-specific requirements, gas properties, operating conditions, and economic constraints. The goal is to identify the compressor type and configuration that delivers the required performance with optimal efficiency, reliability, and cost-effectiveness.
The initial step involves a thorough definition of the application. This includes specifying the gas composition, required inlet and outlet pressures, desired flow rate, and any specific process requirements. Following this, a detailed assessment of several key factors is necessary:
The selection process often involves iterative calculations and comparisons of different compressor options to identify the compressor that best meets the specific needs of the application.
Compressor selection is a complex process with significant implications for process efficiency and cost. A structured workflow is essential for ensuring a successful outcome. Without a systematic approach, critical parameters can be overlooked, leading to suboptimal compressor selection, increased operational costs, and potential safety hazards.
A well-defined workflow provides several key benefits:
By following a structured workflow that includes defining the application, gathering detailed data, performing calculations, evaluating compressor types, and considering economic factors, process engineers can make informed decisions and select the compressor that best meets the needs of their specific application. For ongoing reliability, consult our comprehensive compressor troubleshooting and maintenance guide. Remember, shortcuts often lead to problems down the line.

The initial and arguably most crucial step in compressor selection is a precise and comprehensive definition of the application. This involves clearly articulating the purpose of the compressor within the overall process and meticulously documenting all relevant operating parameters. A complete application definition should include the following elements:
A clear and concise written statement summarizing the application is highly recommended. For example: "This compressor will compress a mixture of methane and ethane from a low-pressure storage tank to a high-pressure pipeline. The compressor must operate continuously, with a flow rate ranging from 1000 to 1200 SCFM and a discharge pressure of 1200 psig. Oil-free compression is required to prevent contamination of the gas stream." This kind of clarity will save you headaches later.

Accurate knowledge of the gas properties is important for proper compressor selection and performance prediction. These properties dictate the thermodynamic behavior of the gas during compression and directly influence the compressor's power requirements, discharge temperature, and overall efficiency. The key gas parameters to consider are:
These gas properties can be obtained from published thermodynamic tables, online databases, or process simulation software. For gas mixtures, appropriate mixing rules must be used to calculate the average properties. Don't rely on rules of thumb when dealing with complex gas mixtures; accurate data is essential.
Pressure is a fundamental parameter in compressor selection, and it is crucial to differentiate between gauge pressure and absolute pressure.
The relationship between these two pressure measurements is defined by the following equations:
Where Pamb represents the local atmospheric or barometric pressure. All compressor calculations must be performed using absolute pressures. Atmospheric pressure varies with altitude, so the location of the compressor installation significantly impacts this conversion.
| Altitude above sea level (ft) | Atmospheric Pressure (psia) |
|---|---|
| 0 | 14.69 |
| 500 | 14.42 |
| 1,000 | 14.16 |
| 1,500 | 13.91 |
| 2,000 | 13.66 |
| 2,500 | 13.41 |
| 3,000 | 13.16 |
| 3,500 | 12.92 |
| 4,000 | 12.68 |
| 4,500 | 12.45 |
| 5,000 | 12.22 |
| 5,500 | 11.99 |
| 6,000 | 11.77 |
| 6,500 | 11.55 |
| 7,000 | 11.33 |
| 7,500 | 11.12 |
| 8,000 | 10.91 |
| 8,500 | 10.70 |
| 9,000 | 10.50 |
| 9,500 | 10.30 |
| 10,000 | 10.10 |
| 10,500 | 9.90 |
| 11,000 | 9.71 |
| 11,500 | 9.52 |
| 12,000 | 9.34 |
| 12,500 | 9.15 |
| 13,000 | 8.97 |
| 13,500 | 8.80 |
| 14,000 | 8.62 |
| 14,500 | 8.45 |
Table 3.1: Atmospheric Pressure vs. Altitude
Section 3.1 provides a table of atmospheric pressure versus altitude to facilitate accurate conversions. Remember to use the correct atmospheric pressure for your location.
Similar to pressure, temperature must be expressed in absolute units for all compressor calculations, as thermodynamic relationships are based on absolute temperature scales.
The conversion formulas are:
Ensure that all temperature values used in calculations are converted to absolute units (°R or °K) and that units are consistent throughout the process. Consistency is key to avoiding errors.
Compressor capacity represents the volumetric flow rate of gas, but it is often specified using different units and reference conditions. For compressor selection, Inlet Cubic Feet per Minute (ICFM) is the most important parameter, as it represents the actual volume of gas the compressor ingests per minute at its inlet conditions (Ps, Ts). All other capacity specifications must be converted to ICFM to ensure accurate compressor sizing.
Common capacity specifications include:
The conversion formula from SCFM to ICFM is:
Where:
For preliminary calculations, the ratio Zs/Zstd can be assumed to be 1. Be aware of the specific standard conditions used for SCFM, as different standards exist. Always double-check the standard conditions used in any given specification.
As discussed in Section 2.3, compressor calculations require absolute pressure values. The conversion from gauge pressure to absolute pressure is performed using the following formulas:
Where Pamb is the local barometric pressure. Use the data in Table 3.1 to determine Pamb based on site altitude. For critical applications, direct barometric pressure measurement is recommended.
As discussed in Section 2.4, compressor calculations require absolute temperature values. The conversion from gauge temperature to absolute temperature is performed using the following formulas:
As established in Section 2.5, converting all capacity specifications to ICFM is crucial for accurate compressor selection. The conversion formula is:
\[ \text{ICFM} = \text{SCFM} \times \frac{P_{std}}{P_{act}} \times \frac{T_{act}}{T_{std}} \times \frac{Z_{act}}{Z_{std}} \]
Where:
The polytropic or adiabatic head represents the amount of energy imparted to the gas by the compressor. The polytropic head calculation is generally preferred as it provides a more realistic representation of the actual compression process.
1. Polytropic Head (\( H_p \)):
\[ H_p = \frac{Z_1 \cdot R \cdot T_1}{\frac{n-1}{n}} \left[ \left( \frac{P_2}{P_1} \right)^{\frac{n-1}{n}} - 1 \right] \]
2. Adiabatic Head (\( H_s \)):
\[ H_s = \frac{Z_1 \cdot R \cdot T_1}{\frac{k-1}{k}} \left[ \left( \frac{P_2}{P_1} \right)^{\frac{k-1}{k}} - 1 \right] \]
Specific speed (\( N_s \)) is a dimensionless parameter used to classify compressor impellers and helps in selecting the appropriate compressor type.
\[ N_s = \frac{N \cdot \sqrt{Q}}{H^{3/4}} \]
Where:
The number of impellers or stages required for a compressor is directly related to the total head required and the achievable head per stage.
\[ \text{Number of Stages} = \frac{\text{Total Head}}{\text{Head per Stage}} \]
Calculating the gas horsepower is a crucial step in sizing the compressor driver (e.g., electric motor) and estimating energy consumption.
\[ \text{Gas HP} = \frac{\dot{m} \cdot H}{33,000 \cdot \eta_{\text{overall}}} \]
Use the fully interactive calculator below to perform rapid thermodynamic sizing, mass flow calculations, and power estimates for air and gas compressors.
Calculations replicate Section 4.7 worked example (Instrument Air Supply under ISO 8573-1).
Problem
statement (restated)
Supply instrument air meeting ISO
8573-1:2010 Class 1.2.1 to pneumatic actuators and
control valves. Design basis (given):
Current demand = 110 SCFM, add 20% future allowance → design SCFM = 110 × 1.20 = 132 SCFM (this is standard-condition flow).
Required discharge pressure = 100 psig.
Site = sea level, ambient = 70 °F.
Duty = continuous 24/7.
Assume air is “dry” at intake for conversion (no humidity correction) and compressibility Z ≈ 1 (low pressure, ambient conditions).
What we will deliver:
Convert SCFM → ICFM (inlet/actual conditions)
Compute inlet density & mass flow (lb/min, kg/s)
Compression ratio and thermodynamic heads (adiabatic & polytropic)
Estimate shaft / motor power and pick a conservative motor size
Recommend compressor type, air treatment (to meet ISO 8573-1:1.2.1), receiver and redundancy strategy
ISO 8573-1 class notation [A:B:C] = Particles :
Water : Oil. Class 1.2.1
= particulate class 1, water class 2 (pressure dew point per ISO
table) and oil class 1 (very low oil). Practical implication: very low oil (≤0.01 mg/m³)
and a pressure dew
point ~ −40 °C (class 2 water), plus the tight
particle counts of class 1. See manufacturer/standards summaries
for the class table.
Formula used (standard conversion, neglecting humidity for this worked example):
\[ \text{ICFM} \;=\; \text{SCFM}\times\frac{P_{std}}{P_{act}}\times\frac{T_{act}}{T_{std}}\times\frac{Z_{act}}{Z_{std}} \]
(we take \( Z_{act}=Z_{std}=1 \) and \( P_{std}=P_{act} \) at sea level so the pressure ratio is 1).
Numbers / assumptions
SCFM (design) = 132 SCFM (110 × 1.20) — SCFM referenced to standard 14.696 psia, 60 °F.
Standard T: 60 °F → 519.67 °R (°R = °F + 459.67).
Ambient suction T: 70 °F → 529.67 °R.
Ambient suction absolute pressure: 14.696 psia (sea level).
Compute:
\[ \text{ICFM} = 132 \times \frac{14.696}{14.696}\times\frac{529.67}{519.67} =132\times\frac{529.67}{519.67} \]
Numeric result (rounded reasonably):
\[ \boxed{\text{ICFM} = 134.54\ \text{ft}^3/\text{min (actual inlet conditions)}} \]
(That 134.54 CFM is what the compressor must ingest at its inlet.)
We use the ideal-gas relation in US engineering units:
\[ \rho = \dfrac{P_{act}\times 144}{R_{air}\times T_{act}} \]
where:
\( P_{act}=14.696\ \text{psia} \), multiply by 144 to get lbf/ft²,
\( R_{air} = \dfrac{R_u}{\text{MW}_\text{air}} \) with \( R_u\approx 1545.349\ \text{ft·lbf/(lb·mol·°R)} \) and \( \text{MW}_\text{air}\approx 28.9647\ \text{lb/lb·mol} \) → \( R_{air}\approx 53.353\ \text{ft·lbf/(lb·°R)} \).
Numeric:
\( T_{act}=70+459.67=529.67\ \text{°R} \).
\( \rho = \dfrac{14.696\times144}{53.353\times529.67} = 0.074886\ \text{lb/ft}^3 \).
Mass flow:
\[ \dot m = \rho \times \text{ICFM} = 0.074886\ \frac{\text{lb}}{\text{ft}^3}\times 134.540\ \frac{\text{ft}^3}{\text{min}} = 10.075\ \text{lb/min}. \]
Also:
\[ \dot m = 10.075\ \text{lb/min} \approx 0.07617\ \text{kg/s} \quad(\approx 604.5\ \text{lb/h}) \]
Given: suction P1 = 14.696 psia, discharge P2 = 100 psig + 14.696 = 114.696 psia → compression ratio \( P_2/P_1 = 114.696/14.696 = 7.803 \).
Adiabatic (isentropic) specific head (ft-lb per lb of gas):
\[ H_s = \frac{Z R T_1}{\left(\frac{k-1}{k}\right)}\left[\left(\frac{P_2}{P_1}\right)^{\frac{k-1}{k}}-1\right] \]
Use \( k=1.4 \) (air), \( Z\approx1 \).
Numeric result:
\[ H_s \approx 78{,}997\ \text{ft·lbf/lb} \]
Polytropic head (accounts for non-ideal, finite polytropic efficiency)
If you want a more realistic “actual” compression work use the polytropic exponent \( n \). With a polytropic efficiency assumption \( \eta_p = 0.85 \) the relationship
\[ \frac{n-1}{n} = \frac{1}{\eta_p}\cdot\frac{k-1}{k} \]
gives \( n \approx 1.5063 \). Then
\[ H_p = \frac{R T_1}{\left(\frac{n-1}{n}\right)}\left[\left(\frac{P_2}{P_1}\right)^{\frac{n-1}{n}}-1\right] \]
Numeric result:
\[ \boxed{H_p \approx 83{,}654\ \text{ft·lbf/lb}} \]
Use standard conversion:
\[ \text{Gas HP} = \frac{\dot m\ [\text{lb/min}]\times H\ [\text{ft·lb/lb}]}{33{,}000\times\eta_{\text{overall}}} \]
where \( \eta_{\text{overall}} \) = mechanical + thermodynamic + leakage combined (pick 0.75).
Numeric:
\[ \text{Gas HP} \approx \frac{10.075\times83{,}654}{33{,}000\times0.75} = 34.05\ \text{HP} \]
Convert to motor requirement:
If motor efficiency ≈ 95%, required motor shaft HP ≈ \( 34.05/0.95 = 35.85 \) HP.
With 1.15 service factor: \( 35.85\times1.15 = 41.2 \) HP.
Recommendation: specify ~40 HP to 50 HP motor.
\[ \text{electrical kW at design} \approx 41.2\ \text{HP}\times0.746 \approx 30.8\ \text{kW} \]
Compressor type
Best practice for ISO 1.2.1: oil-free compression (oil-free rotary screw).
Drying
Class 2 water (\( \approx -40^\circ\text{C} \) pressure dew point) requires a desiccant (adsorption) dryer.
Key factors include gas composition, inlet/outlet pressures, flow rate, site conditions (altitude, temperature), compressor type, reliability, and economic considerations like capital and operating costs.
A structured workflow ensures comprehensive evaluation, reduces errors, optimizes performance, controls costs, improves communication, and enhances safety by systematically addressing all critical factors.
Essential gas properties include molecular weight (MW), specific heat ratio (\( k \)), critical pressure (\( P_c \)), critical temperature (\( T_c \)), and compressibility factor (\( Z \)).
Absolute pressure (\( P_{\text{abs}} \)) is calculated as: \[ P_{\text{abs}} = P_{\text{gauge}} + P_{\text{ambient}} \] Where \( P_{\text{ambient}} \) is the local atmospheric pressure.
ICFM (Inlet Cubic Feet per Minute) is the actual volumetric flow at the compressor inlet conditions. SCFM (Standard Cubic Feet per Minute) is flow corrected to standard conditions (e.g., 14.7 psia, 60°F). Conversion: \[ \text{ICFM} = \text{SCFM} \times \frac{P_{\text{std}}}{P_{\text{inlet}}} \times \frac{T_{\text{inlet}}}{T_{\text{std}}} \times \frac{Z_{\text{inlet}}}{Z_{\text{std}}} \]
Polytropic head (\( H_p \)) is calculated as: \[ H_p = \frac{Z \cdot R \cdot T_1}{\frac{n-1}{n}} \left[ \left( \frac{P_2}{P_1} \right)^{\frac{n-1}{n}} - 1 \right] \] Where \( n \) is the polytropic exponent, derived from polytropic efficiency (\( \eta_p \)) and specific heat ratio (\( k \)).
Specific speed (\( N_s \)) is a dimensionless parameter used to classify compressor types: \[ N_s = \frac{N \cdot \sqrt{Q}}{H^{3/4}} \] It helps in selecting the appropriate compressor type (e.g., centrifugal, axial).
The number of stages is estimated as: \[ \text{Number of Stages} = \frac{\text{Total Head}}{\text{Head per Stage}} \] Head per stage depends on compressor type and design.
Gas horsepower is calculated as: \[ \text{Gas HP} = \frac{\dot{m} \cdot H}{33,000 \cdot \eta_{\text{overall}}} \] Where \( \dot{m} \) is mass flow rate, \( H \) is head, and \( \eta_{\text{overall}} \) is overall efficiency.
Typical overall efficiencies are: - Centrifugal: 70–85% - High-speed reciprocating: 72–85% - Low-speed reciprocating: 75–90% - Rotary screw: 65–75%.