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Free Engineering Calculators List

Moist-air psychrometric state

Find humidity ratio, enthalpy, dew/frost point and moist-air density from temperature, RH and absolute pressure.

Two-air-stream mixing

Balance two known dry-air mass streams and check that the resulting mixture stays unsaturated.

Cooling-coil bypass factor

Estimate temperature-based bypass and contact factors using a known apparatus dew point.

Cooling-coil condensate rate

Calculate moisture removal from the drop in humidity ratio across a coil.

Airflow for a known sensible duty

Convert a specified sensible heating or cooling duty into airflow using chosen air properties.

Balanced sensible heat recovery

Estimate supply and exhaust outlet temperatures and sensible recovery for equal air heat-capacity rates.

Direct evaporative cooling

Estimate leaving dry-bulb temperature from entering dry/wet bulb and specified saturation effectiveness.

Filter-bank face area

Find net filter face area and the number of equal filter modules needed to stay at or below a chosen face velocity.

Belt-drive fan speed

Estimate driven fan speed from pulley pitch diameters, motor speed and a specified slip allowance.

Fan and pump speed affinity

Scale a known operating point for a speed change at unchanged impeller geometry and fluid density.

Hydronic heat duty

Calculate sensible heat transfer from measured liquid flow and temperature difference.

Pump shaft and input power

Estimate hydraulic, shaft and motor electrical input power for a specified pump head and liquid flow.

Available pump NPSH

Estimate available suction head above vapor pressure from a large source vessel.

Liquid control-valve Kv

Estimate a liquid valve flow coefficient for known flow, pressure drop and density.

Design-point valve authority

Compare a fully open valve drop with the total pressure drop of its controlled variable-flow path.

Fluid inventory in straight pipe

Calculate contained volume and liquid mass from actual internal diameter and total straight length.

Free pipe thermal expansion

Estimate unconstrained axial length change using a supplied thermal-expansion coefficient.

Adiabatic water mixing temperature

Predict mixed temperature for two liquid-water mass flows with the same specific heat.

Rapid-change water-hammer estimate

Estimate the Joukowsky pressure rise from a velocity reduction and compare closure time with a wave round trip.

Two-branch quadratic flow split

Split known total flow between two parallel branches with supplied quadratic resistances.

Single-zone steady-state CO₂

Estimate steady indoor CO₂ from a specified total generation rate and outdoor airflow.

Ideal source-free purge time

Estimate exponential dilution time to a user-chosen tracer concentration above supply background.

Four-zone measured airflow average

Combine four representative equal-area mean velocity readings into an estimated airflow.

Pitot differential-pressure velocity

Convert a local total-minus-static pressure reading to air velocity using measured density and probe coefficient.

Low-pressure air leakage opening

Estimate flow through a known opening with a supplied discharge coefficient at a small pressure difference.

Multilayer Wall U-Value

Combine three material layers and surface resistances into a plane-wall U-value and heat flow.

Cylindrical Insulation Heat Loss

Estimate radial heat flow from a known pipe surface through insulation and an outside convection film.

Log-Mean Temperature Difference

Find LMTD and heat duty from two positive terminal temperature differences and known UA.

Heat Exchanger Effectiveness

Infer sensible heat duty, cold outlet temperature and effectiveness from the hot-side temperature drop.

Grey-Surface Radiation Exchange

Calculate net radiation between two large, facing, parallel grey surfaces.

Surface Convection Heat Transfer

Evaluate convective heat flow and thermal resistance using a supplied film coefficient.

Lumped Thermal Response

Estimate an object’s transient temperature and check whether internal gradients can be neglected.

Boiler Fuel Use — LHV Basis

Estimate fuel mass from useful boiler duty, operating time and an explicitly LHV-based efficiency.

Cooling Tower Water Balance

Calculate controlled blowdown and makeup from evaporation, drift and target cycles of concentration.

Measured Heat Pump COP

Calculate operating heating COP from simultaneously measured heat delivery and total electrical input.

Add Independent Sound Levels

Combine two uncorrelated sound-pressure levels measured at the same receiver.

Free-Field Sound Distance

Estimate sound level at a second distance from the same point source in a free field.

Sabine Reverberation Time

Estimate frequency-specific RT60 and additional equivalent absorption for a target decay time.

Damped Vibration Isolation

Check force transmissibility for a linear single-degree-of-freedom isolator.

4–20 mA Pressure Signal Scaling

Translate a linear 4–20 mA pressure transmitter reading to its configured kPa range.

Power Factor Correction kvar

Estimate capacitive reactive power needed to improve a lagging displacement power factor.

Induction Motor Slip & Speed

Compare measured rotor speed with synchronous speed for an induction motor.

Three-Phase Voltage Unbalance

Calculate the NEMA-style magnitude unbalance from three measured line-to-line RMS voltages.

Transformer Loss & Efficiency

Estimate transformer efficiency at a selected load using no-load and rated-load loss data.

UPS Battery Runtime Estimate

Make a nominal battery-energy runtime estimate with explicit usable-capacity and inverter-efficiency factors.

Motor Shaft Torque

Calculate steady mechanical shaft torque from delivered shaft power and measured loaded speed.

Rainwater Collection Yield

Estimate harvestable rainfall volume from projected catchment area and a collection-efficiency factor.

Rectangular Open-Channel Flow

Estimate uniform unpressurized flow capacity at a specified rectangular channel water depth.

Operating Energy & Cost

Estimate annual energy and tariff cost from operating hours and active/standby electrical power.

Simple Project Payback

Screen an efficiency project using net capital cost and constant net annual savings.

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