Mathematical Modeling of Non Linear Fiber Loss in Dual Nozzle Air Jet Hybrid Blends
Non-linear fiber loss in dual nozzle spinning causes composition drift that alters yarn mass, pilling resistance, and customs classification thresholds.
Standard Regain Mass
Invoice Weight
Commercial transactions of textile fibers require a standardized baseline to account for moisture variation in raw shipments. Calculating the standard regain mass involves adding the officially recognized moisture allowance of a fiber to its bone-dry weight. This adjustment ensures that buyers do not pay for excess atmospheric moisture absorbed during transport.
It also prevents sellers from losing value when materials dry out.
Moisture Equilibrium
Textile fibers absorb and release atmospheric humidity until they reach a state of balance with the surrounding air. The standard regain mass uses a predetermined moisture percentage for each fiber type, which is measured after conditioning in a standard atmosphere of twenty degrees Celsius and sixty-five percent relative humidity. Synthetic fibers have a low moisture regain, whereas natural fibers like wool and cotton have much higher values.
This difference affects both processing behavior and commercial value.
Material Calculation
Mathematical formulas adjust the scale weight to find the true transaction value. The calculation combines the oven-dry mass with the standard regain coefficient for that specific fiber class.
Commercial Check
Laboratory testing verifies shipment dry mass through oven drying. Technicians heat fiber samples until their weight stabilizes, which allows the dry mass to be calculated. Applying the standard regain percentage to this dry mass determines the final invoice amount.
This process ensures transparency and fairness in global fiber trade.