Circular Knitting Cam & Sinker Lubrication Optimizer

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: Cylinder Diameter, Machine Speed, Needles, Contact Area per Needle, Target Film Thickness, Oil Feed Rate Set, Oil Viscosity at Working Temp, Reference Viscosity, Throw-off Coefficient and Shift Length.
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 Required Feed Rate together with every supporting figure in one pass — no value is carried over from a previous entry.
4. The supporting outputs — Film Demand, Centrifugal Throw-off, Cylinder Surface Speed, Surplus Over Requirement, Staining Risk Index and Oil per Shift — 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

The tool loads with this case already solved — the Required Feed Rate 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 — Machine and Oil & Feed. 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 Required Feed Rate in the dark results panel — that is the headline figure, expressed in mL/h.
4. Check the supporting rows underneath (Film Demand, Centrifugal Throw-off, Cylinder Surface Speed, Surplus Over Requirement, Staining Risk Index and Oil per Shift) 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 Required Feed Rate before a trial is booked, so machine time and material in Predictive Maintenance & Spare Parts Physics are committed against a calculated figure rather than an estimate.
• Costing and quotation — Required Feed Rate 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 Cylinder Diameter) shows how much of the gap in Required Feed Rate each variable explains.
• Teaching and study — the accepted ranges bracket normal Predictive Maintenance & Spare Parts Physics practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

• A negative surplus means the machine is being starved and should be read as urgent; a large positive surplus means oil is going somewhere, and on a knitting machine that somewhere is usually the fabric. Neither the throw-off coefficient nor the contact area is a catalogue value — both must be fitted from measured oil consumption at two speeds on the actual machine, and the coefficient in particular absorbs everything about guarding, extraction and cylinder condition. Not all surplus reaches the cloth either: extraction and drip trays recover part of it, so the staining index is a comparative indicator rather than a prediction of defects.
• Every input is bounded to the range normal practice occupies (Cylinder Diameter 3 to 60 in, Machine Speed 1 to 120 rpm and Needles 50 to 10000 no., 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