On non-linear diffusion in a two phase system

1991 ◽  
Vol 26 (3-4) ◽  
pp. 401-408 ◽  
Author(s):  
H. Pascal
2021 ◽  
Vol 96 (3) ◽  
pp. 78-86
Author(s):  
L. I. Kulakova ◽  
◽  
A. V. Polyanin ◽  
V. V. Tarnovskiy ◽  
◽  
...  

The article discusses the main economic and mathematical models used in making and implementing management decisions. It has been established that the beginning of making a managerial decision is determined by the nature of solution of managerial problem: creative and standard, implementation of a managerial decision is subordinate to the certainty of the result, that is, its probabilistic or deterministic outcome. The procedure and modeling of the process of making and implementing management decisions will be linear or non-linear. On this basis, the types of mathematical models for solving managerial problems are considered when making and implementing managerial decisions to optimize the chosen option. The author's model is proposed based on a two-phase system from the theory of queues with elements of nonlinear programming for making and implementing managerial decisions in socially oriented business structures. The model includes a combination of linear and non-linear programming. Since when conducting business, socially oriented entrepreneurial structures are aimed at obtaining two types of effects, both commercial and social.


1991 ◽  
Vol 24 (7) ◽  
pp. 59-64 ◽  
Author(s):  
R. W. Szetela

Steady-state models are presented to describe the wastewater treatment process in two activated sludge systems. One of these makes use of a single complete-mix reactor; the other one involves two complete-mix reactors arranged in series. The in-series system is equivalent to what is known as the “two-phase” activated sludge, a concept which is now being launched throughout Poland in conjunction with the PROMLECZ technology under implementation. Analysis of the mathematical models has revealed the following: (1) treatment efficiency, excess sludge production, energy consumption, and the degree of sludge stabilization are identical in the two systems; (2) there exists a technological equivalence of “two-phase” sludge with “single-phase” sludge; (3) the “two-phase” system has no technological advantage over the “single-phase” system.


1985 ◽  
Vol 50 (8) ◽  
pp. 1642-1647 ◽  
Author(s):  
Štefan Baláž ◽  
Anton Kuchár ◽  
Ernest Šturdík ◽  
Michal Rosenberg ◽  
Ladislav Štibrányi ◽  
...  

The distribution kinetics of 35 2-furylethylene derivatives in two-phase system 1-octanol-water was investigated. The transport rate parameters in direction water-1-octanol (l1) and backwards (l2) are partition coefficient P = l1/l2 dependent according to equations l1 = logP - log(βP + 1) + const., l2 = -log(βP + 1) + const., const. = -5.600, β = 0.261. Importance of this finding for assesment of distribution of compounds under investigation in biosystems and also the suitability of the presented method for determination of partition coefficients are discussed.


Author(s):  
Qiaoshu Chen ◽  
Yanwen Zhang ◽  
Hui Chen ◽  
Jianbo Liu ◽  
Juewen Liu

2021 ◽  
Author(s):  
Filipe Smith Buarque ◽  
Cleide Mara Faria Soares ◽  
Ranyere Lucena de Souza ◽  
Matheus Mendonça Pereira ◽  
Álvaro Silva Lima

Two-phase water-free systems containing high ethanol content in the coexisting phases can selectively partition hydrophobic molecules from natural biomass.


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