Over-Equilibrium as a Result of Conservatively-Perturbed Equilibrium (Acyclic and Cyclic Mechanisms)

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Vitaliy R. Trishch ◽  
Yuriy O. Beznosyk ◽  
Denis Constales ◽  
Gregory S. Yablonsky

Abstract The effect of over-equilibrium, i. e., the effect at which the concentration of some substance is higher than the corresponding equilibrium value, is demonstrated for two types of ideal chemical reactors, continuously stirred tank reactor (CSTR) and plug-flow reactor (PFR), respectively, under conditions of conservatively perturbed-equilibrium (CPE). Two types of complex chemical mechanisms are analyzed, acyclic and cyclic ones. Using numerical experiments and the same residence times, it is shown that for the steady-state PFR this effect is more pronounced that for the steady-state CSTR, and it is true both for acyclic and cyclic reactions. In the studied mechanisms, cyclic and acyclic, the initial concentration of some substance is taken as the equilibrium one, and two other concentrations are the nonequilibrium ones. The greater the difference between the two initially nonequilibrium concentrations, the greater the concentration of the third substance, which was taken initially as the equilibrium one. At the specific values of kinetic parameters considered here, the sensitivity of the occurrence time of the B-concentration extremum for the different reactors (PFR and CSTR) at the fixed mechanism is small, but for the different mechanisms (acyclic and cyclic) at the fixed reactor is significant.

AIChE Journal ◽  
2002 ◽  
Vol 48 (2) ◽  
pp. 279-286 ◽  
Author(s):  
Ilse Y. Smets ◽  
Denis Dochain ◽  
Jan F. Van Impe

1998 ◽  
Vol 38 (8-9) ◽  
pp. 453-461 ◽  
Author(s):  
Tuanchi Liu

An innovative mesophilic continuous-feed anaerobic plug-flow reactor was employed to study system performance with solid feeds from 3% to 16% TS and hydraulic retention times from 32.0 to 13.1 days. The reactor performance under high-solid feeds (>10% TS) corresponding to phase separation along the longitudinal distance of the plug-flow reactor was discussed. The two-phase plug-flow reactor (TPPFR) always recovered from acidogenic conditions prevailing at the head end of the TPPFR, and the methanogenic phase was dominant within the remainder of the TPPFR. As the feed solids concentration increased to greater than 16% (loading capacity of the feed solids concentration) and as the acidogenic phase was extended, the methanogenic bacteria could not recover from the “sour” digestion as shown by the decreased gas/or methane production rate. With same feeds and under same operating conditions, the performance of the plug-flow reactor with phase separation is much better than that of the conventional single-phase continuously stirred-tank reactor (CSTR) in terms of efficiency and overall bioconversion.


2018 ◽  
Vol 11 (1) ◽  
pp. 49-60
Author(s):  
Miftahul Huda

The reality of the difference in applying Islamic law in the context of marriage law legislation in modern Muslim countries is undeniable. Tunisia and Turkey, for example, have practiced Islamic law of liberal nuance. Unlike the case with Saudi Arabia and the United Arab Emirates that still use the application of Islamic law as it is in their fiqh books. In between these two currents many countries are trying to apply the law in their own countries by trying to bridge the urgent new needs and local wisdom. This is widely embraced by modern Muslim countries in general. This paper reviews typologically the heterogeneousness of family law legislation of modern Muslim countries while responding to modernization issues. Typical buildings seen from modern family law reforms can be classified into four types. The first type is progressive, pluralistic and extradoctrinal reform, such as in Turkey and Tunisia. The second type is adaptive, unified and intradoctrinal reform, as in Indonesia, Malaysia, Morocco, Algeria and Pakistan. The third type is adaptive, unified and intradoctrinal reform, represented by Iraq. While the fourth type is progressive, unifiied and extradoctrinal reform, which can be represented by Somalia and Algeria.


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