On an inverse problem of mathematical modeling of the extraction process of polydisperse porous materials

Author(s):  
Isabek Orazov ◽  
Makhmud A. Sadybekov
2015 ◽  
Vol 11 (1) ◽  
pp. 17-22 ◽  
Author(s):  
Honggao Xu ◽  
Qiang Peng ◽  
Fang Yuan ◽  
Yanxiang Gao

Abstract Effective diffusion coefficient (D-value) is an important parameter for the extraction process. In this study, a cylindrical model to estimate the D-value of betanin extraction from red beet roots was developed. The influence of extraction temperature, pH, cylindrical thickness and type of acids on the D-value was also investigated. The optimal parameters of betanin extraction were 30°C, pH 4.0 adjusted with sulfurous acid or acetic acid. D-values under the above conditions were 18.95×10−11 m2/s and 17.87×10−11 m2/s, respectively. The result showed that D-value elevated with the increase of cylindrical thickness, which was consistent with earlier conclusion from spherical model. The modeling may be useful for the investigation into extraction process and practical application.


Author(s):  
Driss Ait Omar ◽  
Mohamed El Amrani ◽  
Hamid Garmani ◽  
Mohamed Baslam ◽  
Mohamed Fakir

Optimization is an essential tool in the field of decision support. In this chapter, the authors study an inverse problem applied in the telecommunication networks. Indeed, in the telecommunication networks, service providers have subscription offers to customers. Since competition is strong in this sector, most of these advertising offerings, totally or partially ambiguous, are prepared to attract the attention of consumers. For this reason, customers face problems in making decisions about the choice of the operators that gives them a better report price/QoS. Mathematical modeling of this decision support problem led to the resolution of an inverse problem. More precisely, the inverse problem is to find the function of the QoS real knowing the QoS theoretical or advertising. This model will help customers who seek to know the degree of sincerity of their operators, and it is an opportunity for operators who want to maintain their resources so that they gain the trust of customers.


Author(s):  
Lyudmila Kolyanovska ◽  
Igor Palamarchuk ◽  
Yuri Sukhenko ◽  
Assel Mussabekova ◽  
Baituma Bissarinov ◽  
...  

2019 ◽  
Vol 945 ◽  
pp. 899-905
Author(s):  
Olga V. Dudko ◽  
Victoria E. Ragozina ◽  
Anastasia A. Lapteva

Approaches to mathematical modeling of nonlinear strain dynamics in heteromodular and porous materials are discussed; the mechanical properties of media are described in terms of the simple piecewise linear elastic models. Several nonstationary 1D boundary value problems show that the singularity of model relationships gives rise to shock waves and centered Riemann waves in generalized solutions. Nonstationary load modes leading to the listed nonlinear effects are indicated separately for heteromodular and porous media.


Author(s):  
Driss Ait Omar ◽  
Mohamed Baslam ◽  
Mourad Nachaoui ◽  
And Mohamed Fakir

<p>Currently the operators in the telecommunications market present offers of subscription to the consumers,and given that competition is strong in this area, most of these advertising offers are prepared to attract and / or keep customers.</p><p>For this reason, customers face problems in choosing operators that meet their needs in terms of price, quality of service (QoS), etc..., while taking into account the margin between what is advertising and what is real. Therefore, we are led to solve a problem of decision support. Mathematical modeling of this problem led to the solution of an inverse problem. Specifi-cally, the inverse problem is to find the real Quality of Service (QoS) function knowing the theoretical QoS. To solve this problem we have reformulated in an optimization problem of minimizing the difference between the real quality of service (QoS) and theoretical (QoS). This model will help customers who seek to know the degree of sincerity of Their operators, as well as it is an opportunity for operators who want to maintain their resources so that they gain the trust of customers. The resulting optimization problem is solved using evolutionary algorithms. The numerical results showed the reliability and credibility of our inverse model and the performance and effectiveness of our approach.</p>


1986 ◽  
Vol 28 (1) ◽  
pp. 16-19
Author(s):  
V. D. Kal'ner ◽  
V. B. Glasko ◽  
N. I. Kulik ◽  
Yu. K. Evseev ◽  
V. P. Romanov

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