optimizing organophosphorus fire resistant finish for cotton fabric using box-behnken design

n-methylol dimethyl phosphonopropionamide (mdpa) is one of the most utilized fire resistant (fr) finishes for cotton fabrics, utilized as part of a formulation with trimethylol melamine (tmm) to acquire better crosslinking and enhanced fr properties. the system parameters of the finishing treatment were upgraded for better fr properties and low mechanical loss to the fabric by the response surface methodology utilizing box-behnken statistical designed experimental strategy. the impacts of concentration on the cotton fabric's properties (fire resistance and mechanical properties) were assessed with the regression equations. the optimum conditions by predicting the fr reagents focusing intact mechanical properties of the fabric were additionally studied. it was found that the parameters of crosslinking agents in the fr formulation have a prime role in the general fr properties of the cotton fabrics. the r-squared estimations of the considerable number of responses were above 92%, demonstrating the level of relationship between the predicted values by the box-behnken frameworks and the real test results.