HVAC CFM Calculator - Calculating hvac cfm per square foot for room
What is Heat Loss and Air Flow Rate
Heat loss is the thermal energy lost from a building through windows/doors, walls, ceilings, and floors, calculated as the product of area (ft²) and Heat Multiplier (H*M, BTU/hr-ft²). The air flow rate (\( L \)) is the volume of air required per second to compensate for this heat loss, based on the temperature difference between the heating air (\( t_h \)) and room temperature (\( t_r \)), along with air's specific heat (\( c_p \)) and density (\( \rho \)).
For example, a room with 100 ft² of windows/doors (Single Insulated), 300 ft² of walls (2 inch insulation), 100 ft² of ceiling (6 inches insulation), and 100 ft² of floor (Overhang 3 inch), with heating air at 40°C and room temperature at 20°C, has a heat loss of 6800 BTU/hr and requires approximately 0.0820 m³/s of air flow.
How to Calculate Heat Loss and Air Flow Rate
Formulas:
\( L = \frac{Q}{c_p \rho (t_h - t_r)} \)
Where:
- \(\text{Area}\) = Area in ft²
- \(\text{H*M}\) = Heat Multiplier (BTU/hr-ft²)
- \( Q \) = Heat loss (kW)
- \( c_p \) = Specific heat of air = 1.005 kJ/(kg°C)
- \( \rho \) = Density of air = 1.2 kg/m³
- \( t_h \) = Heating air temperature (°C)
- \( t_r \) = Room temperature (°C)
- \( L \) = Air flow rate (m³/s)
Example Calculation: For a room:
- Windows/Doors: 100 ft² × 41 = 4100 BTU/hr
- Walls: 300 ft² × 6 = 1800 BTU/hr
- Ceiling: 100 ft² × 4 = 400 BTU/hr
- Floor: 100 ft² × 5 = 500 BTU/hr
- Total Heat Loss = 4100 + 1800 + 400 + 500 = 6800 BTU/hr
- Heat Loss in kW = \( \frac{6800}{3412.14} \approx 1.993 \, \text{kW} \)
- \( t_h = 40°C \), \( t_r = 20°C \), \( L = \frac{1.993}{1.005 \times 1.2 \times (40 - 20)} \approx 0.0820 \, \text{m}^3/\text{s} \)
- In m³/h: \( 0.0820 \times 3600 \approx 295.2 \, \text{m}^3/\text{h} \)
- In L/s: \( 0.0820 \times 1000 \approx 82.0 \, \text{L}/\text{s} \)
Use the form above to input areas, select component types, and provide temperatures to calculate heat loss and air flow rate.
Heat Multipliers (H*M) Table
The following table lists heat multipliers (H*M in BTU/hr-ft²) for different components:
Component |
Type |
H*M (BTU/hr-ft²) |
Windows/Doors | Single | 67 |
Single Insulated | 41 |
Storm | 34 |
Double Insulated | 30 |
Wall | No Insulation | 15 |
2 inch | 6 |
4 inch | 5 |
6 inch | 4 |
Ceiling | 3 inches | 5 |
6 inches | 4 |
9 inches | 3 |
10 inches | 2 |
Floor | No Insulation | 4 |
Overhang 3 inch | 5 |
Overhang 6 inch | 3 |
Overhang 9 inch | 2 |
Air Flow Rate Units and Conversions
The calculator displays results in the following units:
- Air Flow Rate:
- Cubic Meters per Second (m³/s): Base unit
- Cubic Meters per Hour (m³/h): 1 m³/s = 3600 m³/h
- Liters per Second (L/s): 1 m³/s = 1000 L/s
Results are provided in all listed units after calculation.
FAQs
How do you calculate heat loss and air flow rate?
To calculate heat loss and air flow rate:
- Input the area (ft²) for each component (Windows & Doors, Net Walls, Ceiling, Floor).
- Select the corresponding type for each component from the dropdowns to determine the Heat Multiplier (H*M).
- Input the heating air temperature (\( t_h \)) and room temperature (\( t_r \)) in °C, °F, or K.
- The calculator computes the heat loss for each component (\(\text{Area} \times \text{H*M}\)), sums them to get total heat loss in BTU/hr, converts to kW, and applies \( L = \frac{Q}{c_p \rho (t_h - t_r)} \) with \( c_p = 1.005 \, \text{kJ}/(\text{kg°C}) \) and \( \rho = 1.2 \, \text{kg}/\text{m}^3 \) to calculate the air flow rate in m³/s, then converts to m³/h and L/s.
What is the air flow rate for a room with specific areas and temperatures?
For a room with:
- Windows/Doors: 100 ft², Single Insulated
- Walls: 300 ft², 2 inch insulation
- Ceiling: 100 ft², 6 inches insulation
- Floor: 100 ft², Overhang 3 inch
- Total Heat Loss = 6800 BTU/hr, \( Q = \frac{6800}{3412.14} \approx 1.993 \, \text{kW} \)
- \( t_h = 40°C \), \( t_r = 20°C \), \( L = \frac{1.993}{1.005 \times 1.2 \times (40 - 20)} \approx 0.0820 \, \text{m}^3/\text{s} \)
- In m³/h: \( 0.0820 \times 3600 \approx 295.2 \, \text{m}^3/\text{h} \)
- In L/s: \( 0.0820 \times 1000 \approx 82.0 \, \text{L}/\text{s} \)
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