Calculate Air Flow Rate

Air Flow Rate Calculator (CFM) .af-calculator-wrapper { max-width: 800px; margin: 0 auto; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; color: #333; line-height: 1.6; } .af-calc-box { background: #f8f9fa; border: 1px solid #e9ecef; border-radius: 8px; padding: 25px; margin-bottom: 30px; box-shadow: 0 4px 6px rgba(0,0,0,0.05); } .af-input-group { margin-bottom: 20px; } .af-input-group label { display: block; font-weight: 600; margin-bottom: 8px; color: #2c3e50; } .af-input-group input, .af-input-group select { width: 100%; padding: 10px; border: 1px solid #ced4da; border-radius: 4px; font-size: 16px; box-sizing: border-box; } .af-input-group input:focus { border-color: #007bff; outline: none; } .af-row { display: flex; gap: 20px; } .af-col { flex: 1; } .af-btn { background-color: #0056b3; color: white; border: none; padding: 12px 20px; font-size: 16px; border-radius: 4px; cursor: pointer; width: 100%; font-weight: bold; transition: background 0.3s; } .af-btn:hover { background-color: #004494; } .af-result { margin-top: 25px; padding: 20px; background-color: #e8f4fd; border-left: 5px solid #0056b3; border-radius: 4px; display: none; } .af-result h3 { margin-top: 0; color: #0056b3; } .af-metric { font-size: 24px; font-weight: bold; color: #2c3e50; } .af-sub-metric { font-size: 14px; color: #6c757d; margin-top: 5px; } .af-hidden { display: none; } /* Article Styles */ .af-content h2 { color: #2c3e50; border-bottom: 2px solid #eee; padding-bottom: 10px; margin-top: 40px; } .af-content h3 { color: #495057; margin-top: 25px; } .af-content p { margin-bottom: 15px; } .af-content ul { margin-bottom: 20px; } .af-content li { margin-bottom: 8px; } .af-table { width: 100%; border-collapse: collapse; margin: 20px 0; } .af-table th, .af-table td { border: 1px solid #dee2e6; padding: 12px; text-align: left; } .af-table th { background-color: #e9ecef; }

Air Flow Rate Calculator (CFM)

Round Duct Rectangular Duct
Standard residential velocity is often 700-900 FPM.

Calculation Results

Air Flow Rate:
0 CFM
Duct Cross-Section Area:
0 sq. ft.

Understanding Air Flow Rate (CFM)

Air flow rate is a critical metric in HVAC (Heating, Ventilation, and Air Conditioning) systems, aerodynamics, and fluid dynamics. It measures the volume of air that passes through a specific area within a given unit of time. The most common unit of measurement in the United States is CFM (Cubic Feet Per Minute).

Correctly calculating air flow ensures that heating and cooling systems operate efficiently, maintaining comfortable temperatures and proper air quality while managing energy costs. Undersized ducts can restrict airflow, causing equipment strain, while oversized ducts can reduce velocity, leading to poor air mixing.

The Air Flow Formula

The fundamental formula for calculating the air flow rate ($Q$) relies on the velocity of the air ($V$) and the cross-sectional area of the duct ($A$).

Equation: Q = V × A
  • Q (Flow Rate): Measured in Cubic Feet per Minute (CFM).
  • V (Velocity): Measured in Feet per Minute (FPM).
  • A (Area): Cross-sectional area of the duct in Square Feet ($ft^2$).

Calculating Duct Area

Since duct dimensions are typically measured in inches, they must be converted to square feet before applying the flow rate formula.

1. Round Ducts

For a circular duct, the area is calculated using the geometry of a circle ($\pi r^2$).

  • First, convert the diameter from inches to feet: $D_{ft} = D_{in} / 12$.
  • Radius is half the diameter: $r = D_{ft} / 2$.
  • Area = $3.14159 \times r^2$.

2. Rectangular Ducts

For rectangular or square ducts, the area is simply width multiplied by height.

  • Convert Width to feet: $W_{ft} = W_{in} / 12$.
  • Convert Height to feet: $H_{ft} = H_{in} / 12$.
  • Area = $W_{ft} \times H_{ft}$.

Common HVAC Air Velocity Standards

The velocity of air moving through the ducts is just as important as the volume. If air moves too fast, it creates noise; if it moves too slowly, it may not reach the destination vents effectively.

Application Recommended Velocity (FPM)
Residential Main Ducts 700 – 900 FPM
Residential Branch Ducts 600 FPM
Commercial Main Ducts 1000 – 1300 FPM
Industrial Systems 1200 – 1800+ FPM

Why CFM Matters

System Balancing: Every room needs a specific amount of air to maintain a consistent temperature. A CFM calculation helps technicians balance dampers to distribute air correctly.

Equipment Sizing: A general rule of thumb for air conditioners is that you need approximately 400 CFM per ton of cooling capacity. If your system is 3 tons, you should aim for roughly 1200 CFM of airflow.

function toggleDuctInputs() { var shape = document.getElementById('ductShape').value; var roundInputs = document.getElementById('roundInputs'); var rectInputs = document.getElementById('rectInputs'); if (shape === 'round') { roundInputs.classList.remove('af-hidden'); rectInputs.classList.add('af-hidden'); } else { roundInputs.classList.add('af-hidden'); rectInputs.classList.remove('af-hidden'); } } function calculateAirFlow() { var shape = document.getElementById('ductShape').value; var velocity = document.getElementById('airVelocity').value; var areaSqFt = 0; var cfm = 0; // Validation: Check if velocity is provided if (!velocity || velocity <= 0) { alert("Please enter a valid Air Velocity value greater than 0."); return; } velocity = parseFloat(velocity); if (shape === 'round') { var diameter = document.getElementById('ductDiameter').value; if (!diameter || diameter <= 0) { alert("Please enter a valid Duct Diameter."); return; } // Convert diameter inches to feet var diameterFt = parseFloat(diameter) / 12; var radiusFt = diameterFt / 2; // Area = PI * r^2 areaSqFt = Math.PI * Math.pow(radiusFt, 2); } else { var width = document.getElementById('ductWidth').value; var height = document.getElementById('ductHeight').value; if (!width || width <= 0 || !height || height <= 0) { alert("Please enter valid Width and Height values."); return; } // Convert inches to feet var widthFt = parseFloat(width) / 12; var heightFt = parseFloat(height) / 12; // Area = W * H areaSqFt = widthFt * heightFt; } // Calculate CFM: Q = V * A cfm = velocity * areaSqFt; // Display Results var resultBox = document.getElementById('resultBox'); resultBox.style.display = 'block'; document.getElementById('resCFM').innerText = cfm.toFixed(2) + " CFM"; document.getElementById('resArea').innerText = areaSqFt.toFixed(3) + " sq. ft."; // Generate dynamic summary var ductDesc = ""; if (shape === 'round') { ductDesc = "a " + document.getElementById('ductDiameter').value + "\" round duct"; } else { ductDesc = "a " + document.getElementById('ductWidth').value + "\" x " + document.getElementById('ductHeight').value + "\" rectangular duct"; } document.getElementById('resSummary').innerText = "At a velocity of " + velocity + " FPM, " + ductDesc + " delivers " + Math.round(cfm) + " cubic feet of air per minute."; }

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