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The present paper is concerned with results of kinetic effects of the anomalous transport for a new class of nonequilibrium flows for different problems. Some of these problems are related to nonequilibrium conditions on either free boundaries or solid boundaries. The Nonuniform Relaxation Problem (NRP), a classical 1D heat transfer problem but with the nonequilibrium boundary condition on one surface and the problem with the “membrane-like” boundary conditions are studied. Complex nonequilibrium flows can also be formed due to the special equilibrium boundary conditions. Possible nonequilibrium flows with anomalous transport of stress and heat are observed and discussed. The second law of thermodynamic is treated in terms of the H-theorem which is confirmed for these flows. The Fourier equation in the scales of the mean free path can be violated but the Clausius formulation of the second law can be valid. Possible experiments for testing the effects and schemes for the new microscale technologies are discussed. The problem of a search for natural referents representing the effects is considered as well. [ABSTRACT FROM AUTHOR]

We attempt to consider a biological structure as an open nonequilibrium system the properties of which can be described on the basis of kinetic approach with the help of appropriate kinetic equations. This approach allows us to evaluate in principle scales of sizes and to connect these values to the inner characteristics of the processes of kinetic interaction and advection. One can compare the results with some empirical data concerning these characteristics for bio-systems, in particular mammals, and also for some parts of the systems, say sizes of green leaves. A sense of the nonequilibrium entropy as a measure of complexity of bio-organisms is discussed. Besides the estimations of bio-systems on a global scale, possible methods to describe restricted regions (associated e.g. with living cells) as nonequilibrium open structure with specific boundaries are also discussed. A new boundary 1D problem is formulated and solved for kinetic equations with the membrane-like boundaries conditions. Non-classical transport properties in the system are found. [ABSTRACT FROM AUTHOR]

Some new problems with nonequlibrium boundary conditions are formulated and solved. So-called nonuniform relaxation problem with nonequilibrium conditions on a free boundary for supersonic and subsonic cases are considered. Classical 1D heat transfer problem but with nonequilibrium boundary condition on one surface is also studied. Possible nonequilibrium flows with anomalous transport of momentum and heat are observed and discussed. [ABSTRACT FROM AUTHOR]