The point I was attempting to make is that the flow rate (volume of material per distance travelled) is independent of nozzle shape. Circle, square, ant convex polygon.
The key to accurate computation of the volume extruded is to accurately model the shape of the sausage, I used ideal shapes above for the thought experiment.
Furthermore a square would be a poor choice for a nozzle because the minimum line width would be different depending on the motion vector.
As for the area of the nozzles being different, that only affects the velocity of the plastic going through the nozzle.
Imagine a 0.1 nozzle with the same external geometry (flat nozzle surface 1mm wide). If you extrude the same volume of plastic through it as the 0.4 nozzle, it will produce the same line width. But for the same head speed, the velocity of the plastic through the nozzle would be 16x faster. The extruded sausage would be the same shape because the formation it is dependent upon the shape of the bed (or prior layers), the bottom of the nozzle, and the surface tension of the plastic that constrains the sides.
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Touradnik9 1
When you say 'and improved my prints', what were the symptoms? What looked bad before and what is the appearance now that it looks better?
The extrusion width will always be greater than the nozzle diameter, unless the layer height is close to the nozzle diameter. By changing from 0.4 to 0.45 in Cura, you actually changed the path spacing as well as the amount of plastic being pushed into the nozzle. Path spacing = width for the Cura engine.
So I would guess you had too much overlap between adjacent passes. You should also adjust the extrusion multiplier for even better prints, if you want to be super calibrated.
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