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Melt Spinning

Extrusion Quench Airflow & Cooling Rate Calculator

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See what it looks like

Quench air is a heat balance with a speed limit. Below the velocity the filaments stay molten; above it the threadline flutters.

Melt Stream Heat to remove
kg/h
°C
°C
kJ/kg·K
Quench Air Cabinet
°C
°C
kJ/kg·K
kg/m³
m²
Threadline Geometry
m
m/min

Quench Air Required

— m³/h

To carry the melt heat away at the stated temperature rise

Heat & Motion

Heat to Remove
— kW
Air Mass Flow
— kg/s
Quench Face Velocity
— m/s
Filament Residence Time
— s
Average Cooling Rate
— °C/s

Sensible heat only — the heat of crystallisation is additional and matters for polymers that crystallise strongly on the threadline. Cross-flow quench cabinets typically run in the region of 0.2 to 0.5 m/s at the face; a figure well above that is usually a sign the cabinet is under-sized rather than the process being fast.

Using this calculator

About the Extrusion Quench Airflow & Cooling Rate Calculator

The formula

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

Quench Air Required
airVolumeFlow = f( throughput, meltTemp, solidTemp, polymerCp, airInletTemp, airOutletTemp, airCp, airDensity, quenchArea, quenchLength, spinSpeed )

Each input feeds the expression evaluated in the browser; the symbol table below names every term and its unit.

Symbols used above
SymbolStands forUnit
throughputLine Throughputkg/h
meltTempMelt Temperature°C
solidTempSolidification Temperature°C
polymerCpPolymer Specific HeatkJ/kg·K
airInletTempAir Inlet Temperature°C
airOutletTempAir Outlet Temperature°C
airCpAir Specific HeatkJ/kg·K
airDensityAir Densitykg/m³
quenchAreaQuench Face Aream²
quenchLengthQuench Zone Lengthm
spinSpeedTake-up Speedm/min
airVolumeFlowQuench Air Requiredm³/h
heatToRemoveHeat to RemovekW
airMassFlowAir Mass Flowkg/s
airVelocityQuench Face Velocitym/s
residenceTimeFilament Residence Times
coolingRateAverage Cooling Rate°C/s

How the result is derived

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

  1. The 11 inputs are read from the form on every keystroke: Line Throughput, Melt Temperature, Solidification Temperature, Polymer Specific Heat, Air Inlet Temperature, Air Outlet Temperature, Air Specific Heat, Air Density, Quench Face Area, Quench Zone Length and Take-up Speed.
  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 Quench Air Required together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Heat to Remove, Air Mass Flow, Quench Face Velocity, Filament Residence Time and Average Cooling Rate — 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.

InputUnitAccepted rangeDefaultWhat it means
Line Throughputkg/h0.1 to 2000 kg/h63
Melt Temperature°C100 to 400 °C280
Solidification Temperature°C20 to 300 °C100
Polymer Specific HeatkJ/kg·K0.5 to 4 kJ/kg·K2
Air Inlet Temperature°C-10 to 60 °C18
Air Outlet Temperature°C0 to 150 °C60
Air Specific HeatkJ/kg·K0.9 to 1.2 kJ/kg·K1.006
Air Densitykg/m³0.8 to 1.5 kg/m³1.2
Quench Face Aream²0.01 to 10 m²0.6
Quench Zone Lengthm0.1 to 6 m1.2
Take-up Speedm/min100 to 8000 m/min3000

What the tool returns

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

OutputUnitWhat it tells you
Quench Air Required (headline result)m³/hTo carry the melt heat away at the stated temperature rise
Heat to RemovekW
Air Mass Flowkg/s
Quench Face Velocitym/s
Filament Residence Times
Average Cooling Rate°C/s

Worked example

Given

Line Throughput
63 kg/h
Melt Temperature
280 °C
Solidification Temperature
100 °C
Polymer Specific Heat
2 kJ/kg·K
Air Inlet Temperature
18 °C
Air Outlet Temperature
60 °C
Air Specific Heat
1.006 kJ/kg·K
Air Density
1.2 kg/m³
Quench Face Area
0.6 m²
Quench Zone Length
1.2 m
Take-up Speed
3000 m/min

The tool loads with this case already solved — the Quench Air Required shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

  1. Work through the input groups in order — Melt Stream, Quench Air and Threadline. 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 Quench Air Required in the dark results panel — that is the headline figure, expressed in m³/h.
  4. Check the supporting rows underneath (Heat to Remove, Air Mass Flow, Quench Face Velocity, Filament Residence Time and Average Cooling Rate) 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 Quench Air Required before a trial is booked, so machine time and material in Polymer Rheology & Synthetic Extrusion are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Quench Air Required 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 Line Throughput) shows how much of the gap in Quench Air Required each variable explains.
  • Teaching and study — the accepted ranges bracket normal Polymer Rheology & Synthetic Extrusion practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

  • Sensible heat only — the heat of crystallisation is additional and matters for polymers that crystallise strongly on the threadline. Cross-flow quench cabinets typically run in the region of 0.2 to 0.5 m/s at the face; a figure well above that is usually a sign the cabinet is under-sized rather than the process being fast.
  • Every input is bounded to the range normal practice occupies (Line Throughput 0.1 to 2000 kg/h, Melt Temperature 100 to 400 °C and Solidification Temperature 20 to 300 °C, 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.

Questions people ask

What do I need to know before using the Extrusion Quench Airflow & Cooling Rate Calculator?

Have these to hand: Line Throughput, Melt Temperature, Solidification Temperature, Polymer Specific Heat, Air Inlet Temperature, Air Outlet Temperature, Air Specific Heat, Air Density, Quench Face Area, Quench Zone Length and Take-up Speed. With those entered, the tool returns Quench Air Required immediately.

What exactly is Quench Air Required?

To carry the melt heat away at the stated temperature rise. It is reported in m³/h. It is derived from Line Throughput, Melt Temperature, Solidification Temperature, Polymer Specific Heat, Air Inlet Temperature, Air Outlet Temperature, Air Specific Heat, Air Density, Quench Face Area, Quench Zone Length and Take-up Speed, and is the figure the rest of the Polymer Rheology & Synthetic Extrusion calculation is built around.

Which units does this calculator expect?

Enter Line Throughput in kg/h, Melt Temperature in °C, Solidification Temperature in °C, Polymer Specific Heat in kJ/kg·K, Air Inlet Temperature in °C, Air Outlet Temperature in °C, Air Specific Heat in kJ/kg·K, Air Density in kg/m³, Quench Face Area in m², Quench Zone Length in m and Take-up Speed in m/min. Mixing unit systems is the most common cause of a result that looks an order of magnitude wrong — convert before typing, not after reading.

What are the other figures under the main result?

They are the intermediate quantities the calculation passes through: Heat to Remove, Air Mass Flow, Quench Face Velocity, Filament Residence Time and Average Cooling Rate. They are shown because a headline number nobody can trace is a number nobody trusts — checking them against your own expectation is the fastest way to confirm the inputs were read as you intended.

Can I rely on this for a production decision?

Sensible heat only — the heat of crystallisation is additional and matters for polymers that crystallise strongly on the threadline. Cross-flow quench cabinets typically run in the region of 0.2 to 0.5 m/s at the face; a figure well above that is usually a sign the cabinet is under-sized rather than the process being fast. Treat the output as an engineering estimate that narrows the trial window, not as a substitute for the trial.

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