Nitrogen Flow Rate Calculator Pressure and Diameter

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Nitrogen Flow Rate Calculator

Unit: PSIG (Gauge Pressure)
Unit: PSIG (Must be lower than Inlet)
Unit: Inches (Actual ID, not Nominal)
Unit: Feet
Unit: Degrees Fahrenheit (°F)
0.015 (Smooth Steel) 0.018 (Average Steel) 0.022 (Corroded/Old) Dimensionless
Volumetric Flow Rate (Standard): 0 SCFM
Volumetric Flow Rate (Actual Outlet): 0 ACFM
Mass Flow Rate: 0 lb/hr
Gas Velocity (at Outlet): 0 ft/sec
Pressure Drop: 0 PSI

Calculating Nitrogen Flow Rate Through Piping

Designing nitrogen gas systems requires accurate calculation of flow rates based on pressure differentials and pipe geometry. Nitrogen (N2) is a widely used industrial gas for purging, blanketing, and pneumatic actuation. Unlike liquids, nitrogen is compressible, which means the calculation involves thermodynamic variables including temperature and absolute pressure ratios.

Engineering Insight: Small changes in pipe diameter have a massive impact on flow capacity. Doubling the pipe diameter can increase the flow rate by a factor of approximately 32 (2 to the power of 5), assuming other variables remain constant.

Input Parameters Explained

  • Inlet Pressure (P1): The gauge pressure at the start of the pipe section.
  • Outlet Pressure (P2): The gauge pressure at the end of the pipe section. The difference between P1 and P2 drives the flow.
  • Pipe Inner Diameter (ID): The actual internal measurement of the pipe. For Schedule 40 steel pipe, a "2-inch" pipe actually has an ID of approximately 2.067 inches.
  • Pipe Length: The equivalent length of the piping run, including straight pipe and equivalent lengths for fittings and valves.
  • Temperature: The operating temperature of the gas, which affects its density and viscosity.

The Calculation Logic

This calculator utilizes the General Fundamental Flow Equation for compressible fluids. It is derived from the Darcy-Weisbach equation but adapted for gas flow where density changes along the pipe. The core formula used is:

Q = K × √[ (P1² – P2²) × D⁵ / (Sg × T × L × f) ]

Where:

  • Q: Flow rate in Standard Cubic Feet per Minute (SCFM)
  • P1, P2: Absolute pressures (psia)
  • D: Inner diameter (inches)
  • Sg: Specific Gravity of Nitrogen (approx 0.967)
  • T: Absolute Temperature (Rankine)
  • L: Length (feet)
  • f: Friction factor

Standard vs. Actual Flow (SCFM vs ACFM)

SCFM (Standard Cubic Feet per Minute) measures the mass of gas flowing per minute corrected to "standard" conditions (usually 14.7 psia and 60°F). This is the value most used for billing and sizing compressors.

ACFM (Actual Cubic Feet per Minute) is the volume the gas occupies at the actual pressure and temperature at the outlet. This is critical for determining velocity inside the pipe to prevent erosion or noise issues.

function calculateNitrogenFlow() { // 1. Get Inputs var p1_g = document.getElementById('inletPressure').value; var p2_g = document.getElementById('outletPressure').value; var d = document.getElementById('pipeDiameter').value; var L = document.getElementById('pipeLength').value; var t_f = document.getElementById('gasTemp').value; var f = document.getElementById('frictionFactor').value; var errorBox = document.getElementById('errorBox'); var resultsBox = document.getElementById('results'); // 2. Validate Inputs if (p1_g === "" || p2_g === "" || d === "" || L === "" || t_f === "") { errorBox.style.display = 'block'; errorBox.innerHTML = "Please fill in all fields."; resultsBox.style.display = 'none'; return; } var P1_psig = parseFloat(p1_g); var P2_psig = parseFloat(p2_g); var D_inch = parseFloat(d); var Length_ft = parseFloat(L); var Temp_F = parseFloat(t_f); var fric = parseFloat(f); // Logic Checks if (P1_psig <= P2_psig) { errorBox.style.display = 'block'; errorBox.innerHTML = "Inlet Pressure (P1) must be greater than Outlet Pressure (P2)."; resultsBox.style.display = 'none'; return; } if (D_inch <= 0 || Length_ft <= 0) { errorBox.style.display = 'block'; errorBox.innerHTML = "Diameter and Length must be positive numbers."; resultsBox.style.display = 'none'; return; } errorBox.style.display = 'none'; // 3. Conversions & Constants var atm_pressure = 14.7; // Standard atmospheric pressure var P1_abs = P1_psig + atm_pressure; // Convert to psia var P2_abs = P2_psig + atm_pressure; // Convert to psia var Temp_R = Temp_F + 460; // Convert F to Rankine var Sg = 0.967; // Specific Gravity of Nitrogen // 4. Calculate SCFM (Standard Cubic Feet per Minute) // Formula: General Flow Equation // Q = 22.95 * sqrt( ( (P1^2 – P2^2) * D^5 ) / (Sg * L * T * f) ) // Note: The constant 22.95 varies slightly based on specific standard conditions definitions, // but this is a standard industry approximation for these units. var p_squared_diff = (P1_abs * P1_abs) – (P2_abs * P2_abs); var d_power_5 = Math.pow(D_inch, 5); var numerator = p_squared_diff * d_power_5; var denominator = Sg * Length_ft * Temp_R * fric; var scfm = 22.95 * Math.sqrt(numerator / denominator); // 5. Calculate ACFM (Actual Cubic Feet per Minute at Outlet Conditions) // ACFM = SCFM * (P_std / P_actual) * (T_actual / T_std) // P_std = 14.7, T_std = 520 R (60 F) var acfm = scfm * (14.7 / P2_abs) * (Temp_R / 520); // 6. Calculate Velocity // Velocity (ft/min) = ACFM / Area(ft^2) // Area = pi * (D_ft/2)^2 = pi * (D_inch/24)^2 var area_sq_ft = Math.PI * Math.pow((D_inch / 2) / 12, 2); var velocity_ft_min = acfm / area_sq_ft; var velocity_ft_sec = velocity_ft_min / 60; // 7. Calculate Mass Flow (lb/hr) // Density of Nitrogen at STP is roughly 0.0724 lb/ft3 var density_std = 0.0724; var mass_flow_lb_min = scfm * density_std; var mass_flow_lb_hr = mass_flow_lb_min * 60; var pressure_drop = P1_psig – P2_psig; // 8. Display Results document.getElementById('resSCFM').innerHTML = scfm.toFixed(2) + " SCFM"; document.getElementById('resACFM').innerHTML = acfm.toFixed(2) + " ACFM"; document.getElementById('resMassFlow').innerHTML = mass_flow_lb_hr.toFixed(1) + " lb/hr"; document.getElementById('resVelocity').innerHTML = velocity_ft_sec.toFixed(2) + " ft/sec"; document.getElementById('resDrop').innerHTML = pressure_drop.toFixed(2) + " PSI"; resultsBox.style.display = 'block'; }

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