scholarly journals Some basic mathematical features of the simultaneous convection anomalous diffusion transport processes

2014 ◽  
Vol 1 (1) ◽  
pp. 1-5
Author(s):  
Ágnes Bálint ◽  
Csaba Mészáros

The basic mathematical features of the anomalous diffusion processes are discussed in detail, together with some of the open research subdomains belonging to it. Due to its practical importance in engineering applications, the possibilities of the necessary mathematical refinements are proposed and justified for the general case of the simultaneous convection-anomalous diffusion processes taking place through porous bulk materials.

2006 ◽  
Vol 258-260 ◽  
pp. 63-67
Author(s):  
V.M. Chumarev ◽  
V.P. Maryevich ◽  
V.A. Shashmurin

Diffusion processes play a dominant part in the macro kinetics of Fe, Ni and Co oxidation by calcium and sodium sulfates. Here, the reaction product forms a compact covering which spatially divides the reagents on the surface in the same way as in the oxidation and sulfidization of metals by oxygen and sulfur. Therefore, it is possible to assume in advance that interaction of metals with calcium and sodium sulfates will be determined not by the actual chemical reaction properly but by the diffusion transport processes.


Digital Twin ◽  
2021 ◽  
Vol 1 ◽  
pp. 1
Author(s):  
Fei Tao ◽  
Qinglin Qi ◽  
Ang Liu

Professor Fei Tao from Beihang University initiated Digital Twin (ISSN 2752-5783), the first open research publishing platform dedicated to digital twin technologies and applications. It is published by F1000, part of the Taylor & Francis Group and sponsored by Beihang University. Digital Twin has been set up to accommodate the outputs of scientific research and engineering applications that are related to digital twin.


1972 ◽  
Vol 130 (4) ◽  
pp. 919-925 ◽  
Author(s):  
Roy L. Whistler ◽  
William C. Lake

5-Thio-d-glucopyranose, the nearest analogue of normal d-glucose, which is proving a useful tool in examinations of d-glucose biochemistry, affects active and facilitated-diffusion transport processes. 5-Thio-d-glucose is readily transported in rabbit kidney-cortex slices and reaches a tissue/medium ratio of 6.5 within 40min. The sulphur analogue shows typical saturation kinetics with a Km value of 2.4mm and Vmax. value of 70μmol/h per g of cell water. Uptake of 5-thio-d-glucose is phlorrhizin-sensitive, Na+-dependent and energy-dependent. d-Galactose and methyl α-d-glucopyranoside transport is competitively inhibited by 5-thio-d-glucose with Ki values of 4.8 and 9.7mm respectively. 5-Thio-d-glucose thus shows all of the characteristics of active transport in kidney cortex. Transport of neutral amino acids in rat kidney cortex is inhibited by 5-thio-d-glucose. Thus 5.6mm-5-thio-d-glucose causes a 25–30% inhibition of the transport of glycine and the non-metabolized amino acids cycloleucine and α-aminoisobutyric acid. 5-Thio-d-glucose is freely taken up by the facilitated-diffusion transport system in rat diaphragm muscle. The sulphur analogue inhibits the transport of d-xylose in this tissue but has no effect on the uptake of d-arabinose. It is concluded that the ring heteroatom is not an effector of binding in the transport processes examined and causes no important alteration in the conformation of the sugar. The diabetogenic action produced by 5-thio-d-glucose is due, in part, to the ability of the analogue to interfere with cellular transport processes that use d-glucose.


2002 ◽  
Vol 02 (04) ◽  
pp. L273-L278 ◽  
Author(s):  
DMITRII KHARCHENKO

We consider the stochastic system with an anomalous diffusion. According to the obtained relations between characteristics of diffusion processes the special class of models which exhibit the anomalous behaviour is considered. It was shown that indexes of super- and subdiffusion are related to the Hürst exponent which defines the properties of the phase space inherent to the proposed model of stochastic system.


2013 ◽  
Vol 15 (6) ◽  
pp. 063034 ◽  
Author(s):  
Mirko Luković ◽  
Theo Geisel ◽  
Stephan Eule

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