Optymalizacja warunków sprężonego przewodzenia ciepła i masy w wyrobach włókienniczych

Abstract

The coupled heat and mass transport is very common physical phenomenon within the diff erent textile structures. Thus, the heat and mass are transferred from the heat and mass sources through the multilayer composite structure to the surrounding. The most frequent are the transient problems whereas some of them can be defined as the steady heat and mass transport. The problems are formulated in generał form and the analysis of the specific case can simplify the model introduced. Of course, each coupled problem can be analyzed independently and the models are completely different. First, the physical model of the coupled heat and mass transport was introduced. The typical homogenization methods were defined and its characterized. The number of analyzed dimensions was discussed as the result of geometry and transport conditions within the multilayer textile composite. The structure is described by means of the state variables, which are: the water vapor concentration within fibres, the water vapor concentration within the free spaces between fibres and the temperature. The mathematical model was determined by means of the heat and mass balances. The third equation introduced is the practical correlation concerning the parameters of the water vapor transport. The coupled problem is sensitivity oriented and the first-order sensitivity is defined as the materiał derivative of an arbitrary behavioral functional with respect to the design parameters. The sensitivity can be analyzed by means of the direct and adjoint method. The results are the state equations, the set of boundary and the initial conditions for the additional system associated with each design parameter (the direct method)/the adjoint system (the adjoint method), as well as the first-order sensitivity correlations. Next goal is to define the optimization problem and formulate the optimality conditions. Thus, the variational formulation of the Finite Element Method was used. It means that the optimization functionals should have the elear physical description. The most used are consequently defined. The practical implementation of the analysis performed is the numerical optimization of the transport conditions within the textile dressing with the microcapsulated pcm-material. The oppositely directed diffusion is described by the exudate transport from the wound to the surrounding and the transport of the therapeutic agent from the microcapsules to the skin. The second numerical example is the textile geomaterial which drain the earth structures and transports the water to the surrounding. Finally, the conclusions and the expected future trends are given.