Air Density Calculator
Calculate air density from pressure, temperature, and humidity using the ideal gas law. Includes altitude reference table and moist air corrections.
Calculate exhaust pipe diameter from flow rate, temperature, and target velocity with standard pipe sizing, Reynolds number, and pressure drop analysis.
| Pipe DN (mm) | Area (m²) | Gas Velocity (m/s) | Suitability |
|---|---|---|---|
| 100 | 7.854e-3 | 113.61 | ⚠ Too fast |
| 150 | 1.767e-2 | 50.49 | ⚠ Too fast |
| 200 | 3.142e-2 | 28.40 | ⚠ Too fast |
| 250 | 4.909e-2 | 18.18 | High |
| 300 | 7.069e-2 | 12.62 | ✓ Good |
| 400 | 1.257e-1 | 7.10 | ✓ Good |
| 500 | 1.963e-1 | 4.54 | ✓ Good |
The exhaust diameter calculator determines the correct pipe or flue size for venting combustion gases based on volumetric flow rate, gas temperature, and target exhaust velocity. Proper sizing ensures complete removal of combustion products while maintaining adequate draft and minimizing pressure losses.
Undersized exhaust pipes create excessive backpressure, reduce equipment efficiency, and can cause dangerous flue gas spillage. Oversized pipes waste material, lose heat too quickly (causing condensation and corrosion), and may not maintain sufficient velocity for proper draft. The ideal velocity range is typically 5–15 m/s for natural draft systems and 8–25 m/s for forced draft configurations.
This calculator accounts for gas expansion at elevated temperatures, altitude effects on atmospheric pressure, and provides Reynolds number analysis for flow regime characterization. It maps the calculated diameter to standard pipe sizes and compares velocities across common pipe diameters to help engineers select the optimal size.
Correct exhaust pipe sizing is a safety-critical calculation for HVAC systems, generators, boilers, and industrial furnaces. This calculator eliminates guesswork by computing the exact diameter from first principles and mapping it to standard pipe sizes, saving engineering time and preventing costly installation errors.
Hot gas flow: Q_hot = Q_ambient × (T_exhaust+273.15) / (T_ambient+273.15). Pipe area: A = Q_hot / V_target. Diameter: D = √(4A/π). Gas density: ρ = P_atm / (R × T_K). Reynolds number: Re = ρVD/μ. Natural draft: ΔP = ρ_amb × g × h × (1 − T_amb/T_exh).Result: Diameter ~337 mm → DN 350 recommended
At 0.5 m³/s ambient flow expanded to 250°C, the corrected volume requires a 337 mm diameter pipe for 8 m/s velocity, rounded up to the DN 350 standard pipe.
Calculate exhaust pipe diameter from flow rate, temperature, and target velocity with standard pipe sizing, Reynolds number, and pressure drop analysis. Use it when you need a repeatable calculation in the physics / general category and want the setup, result, and supporting values kept together. This is especially helpful when small input changes, unit choices, or rounding decisions can change the final number.
Start by confirming that the inputs match the formula shown on the page. Then compare the main output with the worked example and any secondary values shown by the calculator. If the result will be used in another calculation, keep extra precision until the final step and record the assumptions beside the number.
Treat the result as a calculation aid rather than a substitute for context. For schoolwork, include the formula and substitution steps. For planning, technical, financial, or health-related decisions, verify important numbers against primary records, current rules, or a qualified professional before acting on them.
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For natural draft chimneys, 5–12 m/s is typical. Forced draft systems can use 10–25 m/s. Too slow causes condensation; too fast creates noise and excessive pressure drop.
Gas volume is proportional to absolute temperature (Charles's Law). At 250°C, exhaust gas occupies about 1.8× its ambient volume, requiring larger ductwork.
Lower atmospheric pressure at altitude means lower gas density, so the same mass flow occupies more volume, requiring larger pipes. At 1500 m elevation, add roughly 15% to diameter.
Natural draft is the pressure difference caused by buoyancy — hot, less dense exhaust gases rise through the stack, drawing in fresh air at the base. Taller stacks and hotter gases increase draft.
Excessive backpressure reduces burner efficiency, can cause incomplete combustion, flue gas spillage into occupied spaces, and potential carbon monoxide hazards.
Single wall is adequate for short runs in non-combustible spaces. Double-wall insulated pipe maintains higher gas temperatures (preventing condensation) and is required near combustible materials.
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