Let us next analyse the coupled problem during ironing of textiles, that is, the heat is transported with mass whereas the mass transport with heat is negligible. It is necessary to define both physical and mathematical models. Introducing two-phase system of mass sorption by fibres, the transport equations are introduced and accompanied by the set of boundary and initial conditions. Optimisation of material thickness during ironing is gradient oriented. The first-order sensitivity of an arbitrary objective functional is analysed and included in optimisation procedure. Numerical example is the thickness optimisation of different textile materials in ironing device.
Małgorzata Zięba, Anna Małysa, Tomasz Wasilewski and Marta Ogorzałek
& Engineering, 2(1), 108-120.
 Korycki R, Szafrańska H. (2016). Thickness Optimisation of Textiles Subjected to Heat and Mass Transport During Ironing, Autex Research Journal, 16(3), 165-174.
 Korycki R, Szafrańska H. (2014). Sensitivity of Temperature Field to Material Parameters within the Clothing Laminate Process. Fibres & Textiles in Eastern Europe, 22, 5(107), 83-88.
 Wasilewski T., Ogorzałek M., Klimaszewska E. (2014). Correlations between performance properties of textiles and concentration of fabric softener in rinsing bath, Salerno