Air-Jet & Vortex Spinning Production, Air Demand & Energy per Kilogram

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

How the result is derived

Step by step, from the values you type to the figure on screen.

1. The 10 inputs are read from the form on every keystroke: Delivery Speed, Yarn Linear Density, Spinning Positions, Machine Efficiency, Air per Position, Compressor Specific Power, Energy Price, Operating Hours, Fibre Length and Nozzle Bore.
2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
3. The validated values are substituted into the expression above, which resolves Compressed-Air Energy per Kilogram together with every supporting figure in one pass — no value is carried over from a previous entry.
4. The supporting outputs — Production per Position, Machine Production, Air per Kilogram of Yarn, Total Air Demand, Compressor Power, Air Cost per Kilogram, Annual Air Cost and Fibre Length to Nozzle Bore — come from the same pass, so they always describe the same case as the headline figure.
5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

What the tool returns

The headline figure and every supporting value it is built from.

Worked example

Substituting

Nearly 0.8 kWh per kilogram on air alone, against roughly 0.055 for compacting a ring frame - fifteen times as much. Air-jet spinning trades capital and labour for energy, and a rise in the electricity tariff moves its economics far more than it moves ring spinning.

How to use it

1. Work through the input groups in order — Production and Compressed Air. The defaults are a realistic case, so you can change one value at a time and watch what moves.
2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
3. Read Compressed-Air Energy per Kilogram in the dark results panel — that is the headline figure, expressed in kWh/kg.
4. Check the supporting rows underneath (Production per Position, Machine Production, Air per Kilogram of Yarn, Total Air Demand, Compressor Power, Air Cost per Kilogram, Annual Air Cost and Fibre Length to Nozzle Bore) before acting on the headline — they are where an implausible input usually shows itself first.
5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

• Process planning — establishing Compressed-Air Energy per Kilogram before a trial is booked, so machine time and material in Spinning, Winding & Yarn Package Engineering are committed against a calculated figure rather than an estimate.
• Costing and quotation — Compressed-Air Energy per Kilogram is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
• Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Delivery Speed) shows how much of the gap in Compressed-Air Energy per Kilogram each variable explains.
• Teaching and study — the accepted ranges bracket normal Spinning, Winding & Yarn Package Engineering practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Reading the result

Typical bands and what each one is telling you.

Assumptions and limits

• Specific air power is a system figure, not a compressor nameplate: it should include the dryer, the receiver losses and the distribution leakage, which together commonly add 20 to 30% to the compressor-only value. Leakage in particular is chronic in textile plants and can reach a third of total generation, so a measured plant figure will be worse than a catalogue one. Air per position is the manufacturer design value at the stated nozzle pressure and assumes correct nozzle condition; worn nozzles pass more air and spin worse. Production excludes piecing, doffing and lot changes beyond the efficiency term entered. The fibre-length to nozzle-bore ratio is reported as a configuration check rather than a performance prediction - the relationship between the two is empirical and machine-specific.
• Every input is bounded to the range normal practice occupies (Delivery Speed 100 to 600 m/min, Yarn Linear Density 5 to 100 tex and Spinning Positions 8 to 200, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
• The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
• Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Standards and further reading

• ISO 1217 - Displacement compressors, acceptance tests, for the specific power figure.
• ISO 8573-1 - Compressed air purity classes, which the nozzle air must meet.
• ASTM D2256 - tensile properties, for comparing the yarn against ring and rotor.
• ISO 50001 - energy management, for the intensity indicator this produces.

Questions people ask