Transport processes and new types of boundary Knudsen layers in a gas flows through thin permeable membranes
- Conference date: 9–13 July 2012
- Location: Zaragoza, Spain
New kinetic effects and new types of Knudsen boundary layers in a gas flows near permeable membranes with uniform temperature and with temperature difference between the surfaces were studied. Two flows were considered. The first one is a pressure driven gas flow through the membrane, and the second one is a pressure difference driven flow through the membrane, due to the temperature difference across it (thermomolecular pressure difference at zero flow through the membrane). The results of theoretical research of gas flow through the membranes with extremely thin perforated channels (pores) are considered. It is assumed that the gas flow regime inside the pores is a free-molecular one and is a transition one outside the membrane. Mathematical tool are DSMC and other Monte-Carlo methods that describe the molecular motion outside the membrane and inside the membrane pores. The quantitative relationship between the flow parameters and the membrane properties is established. A new test for numerical methods to study the slow flows is proposed as follows: the states of gas around infinitely thin permeable membrane, the surfaces which of have different temperature.
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