Hydraulic circuit theory

Khasilev, V.Ya. Elements of the Hydraulic Circuit Theory Abstract of Doctoral thesis. Novosibirsk, 98 p. (1966). in Russian... 

Relations between the theories of states and trajectories and capabilities of equilibrium thermodynamic analysis to study reversible and irreversible kinetics can be more fully revealed by considering another type of models of extreme intermediate states, namely MEIS of hydraulic circuits (Gorban et al., 2001, 2006 Kaganovich et al., 1997, 2007, 2010). Convenience and clearness of using these models to describe the considered problems are determined by the fact that they are intended to study an essentially irreversible process, i.e. motion of a viscous fluid. Besides, they can be treated as models of the mechanism of fluid transportation from the specified source nodes of a hydraulic system to the specified consumption nodes. The major variable of the hydraulic circuit theory (Khasilev, 1957,1964 Merenkov and Khasilev, 1985), i.e. continuous medium flow, has an obvious kinetic sense. 

Possibility of equilibrium thermodynamic modeling of fluid transportation mechanisms will be discussed on the example of optimal synthesis problem of multiloop hydraulic systems that was stated by Khasilev, the founder of the theory of hydraulic circuits (Khasilev, 1957, 1964, 1966 Merenkov and Khasilev, 1985) and was studied in many works (see, for example, Kaganovich (1978) Kaganovich and Balyshev (2000) Merenkov et al. (1992) Sumarokov (1976)). We will formulate this problem as a MEIS... 

Merenkov, A.P., Khasilev, V.Ya (1985), Theory of Hydraulic Circuits. Nauka, Moscow (in Russian). 

Thus, using equivalent circuit theory, it is possible to obtain a good estimate of the total hydraulic resistance of the microfluidic network without performing complicated numerical simulations. This is extremely helpful when designing LOG systems, and if all the involved channels are long and narrow, then the result is very accurate. 

The present study is aimed at assessing the magnitude of the counterflow of water in bentonite clay, using a permeameter without short-circuiting the clay. In the experiments presented here water flow is initiated by a hydraulic gradient. By using the theory of irreversible thermodynamics, the counterflow by induced electro-osmosis, quantified in this paper, will provide an indication of the effect of active application of electro-osmosis in the clay. 

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