scholarly journals On the Diffusion Property of Iterated Functions

2015 ◽  
pp. 239-253
Author(s):  
Jian Liu ◽  
Sihem Mesnager ◽  
Lusheng Chen
Keyword(s):  
Diffusion Property ◽  
Iterated Functions

scholarly journals Chloride Diffusion Property of Hybrid Basalt–Polypropylene Fibre-Reinforced Concrete in a Chloride–Sulphate Composite Environment under Drying–Wetting Cycles

Materials ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1138
Author(s):  
Yang Luo ◽  
Ditao Niu ◽  
Li Su
Keyword(s):  
Reinforced Concrete ◽  
Coupling Effect ◽  
Early Stage ◽  
Polypropylene Fibre ◽  
Chloride Diffusion ◽  
Fibre Reinforcement ◽  
Fibre Reinforced Concrete ◽  
Basalt Fibre ◽  
Diffusion Property ◽  
Chloride Attack

The effect of fibre reinforcement on the chloride diffusion property of concrete is controversial, and the coupling effect of sulphate erosion and drying–wetting cycles in marine environments has been neglected in previous studies. In this study, the chloride diffusion property of hybrid basalt–polypropylene fibre-reinforced concrete subjected to a combined chloride–sulphate solution under drying–wetting cycles was investigated. The effects of basalt fibre (BF), polypropylene fibre (PF), and hybrid BP–PF on the chloride diffusion property were analysed. The results indicate that the presence of sulphate inhibits the diffusion of chloride at the early stage of erosion. However, at the late stage of erosion, sulphate does not only accelerate the diffusion of chloride by causing cracking of the concrete matrix but also leads to a decrease in the alkalinity of the pore solution, which further increases the risk of corrosion of the reinforcing steel. An appropriate amount of fibre can improve the chloride attack resistance of concrete at the early stage. With the increase in erosion time, the fibre effectively prevents the formation and development of sulphate erosion microcracks, thus reducing the adverse effects of sulphate on the resistance of concrete to chloride attack. The effects of sulphate and fibre on the chloride diffusion property were also elucidated in terms of changes in corrosion products, theoretical porosity, and the fibre-matrix interface transition zone.

Optical diffusion property of chicken tissue

2004 ◽  
Author(s):  
Patricia S. Schneider ◽  
Alex Flamholz ◽  
Peter K. Wong ◽  
David H. Lieberman ◽  
Tak D. Cheung ◽  
...  
Keyword(s):  
Diffusion Property ◽  
Chicken Tissue

scholarly journals Period Lengths for Iterated Functions

2010 ◽  
Vol 20 (2) ◽  
pp. 289-298 ◽  
Author(s):  
ERIC SCHMUTZ
Keyword(s):  
Expected Value ◽  
Iterated Functions ◽  
Image Position ◽  
Element Set

Let Ωnbe thenn-element set consisting of all functions that have {1, 2, 3, . . .,n} as both domain and codomain. LetT(f) be the order off,i.e., the period of the sequencef,f(2),f(3),f(4). . . of compositional iterates. A closely related number,B(f) = the product of the lengths of the cycles off, has previously been used as an approximation forT. This paper proves that the average values of these two quantities are quite different. The expected value ofTiswherek0is a complicated but explicitly defined constant that is approximately 3.36. The expected value ofBis much larger:

Anisotropic Light Diffusion Property of Dentin

2013 ◽  
Vol 40 (2) ◽  
pp. 0204001
Author(s):  
陈庆光 Chen Qingguang ◽  
徐英 Xu Ying ◽  
朱海华 Zhu Haihua ◽  
林斌 Lin Bin ◽  
陈晖 Chen Hui
Keyword(s):  
Diffusion Property ◽  
Light Diffusion

New criterion for diffusion property and applications to improved GFS and EGFN

2015 ◽  
Vol 81 (3) ◽  
pp. 393-412 ◽  
Author(s):  
Yanfeng Wang ◽  
Wenling Wu
Keyword(s):  
Diffusion Property ◽  
New Criterion

Silicone Rubber: A New Diffusion Property Useful for General Anesthesia

1967 ◽  
Vol 40 (3) ◽  
pp. 928-931 ◽  
Author(s):  
Judah Folkman ◽  
David M. Long ◽  
Richard Rosenbaum
Keyword(s):  
Nitrous Oxide ◽  
General Anesthesia ◽  
Silicone Rubber ◽  
New Method ◽  
Diffusion Property ◽  
Rubber Tubing ◽  
Anesthetic Agents ◽  
Potential Applications

Abstract Ether, nitrous oxide, halothane, and cyclopropane diffuse through silicone rubber. General anesthesia can be produced in dogs by passing the vapors of any of these anesthetic agents through a coil of silicone rubber tubing, each end of which is placed in an artery and vein. Potential applications include a new method for general anesthesia and a simple accurate vaporizer for halothane.

Systems of two iterated functions over skew field of quaternions

2009 ◽  
Vol 53 (12) ◽  
pp. 81-86
Author(s):  
P. I. Troshin
Keyword(s):  
Skew Field ◽  
Iterated Functions

Production of Renewable Petrochemicals from Catalytic Co-Pyrolysis of Beech Wood and Low-Density Polyethylene with Mesoporous Bifunctional ZSM-5 Zeolites

2015 ◽  
Vol 768 ◽  
pp. 392-401
Author(s):  
Guo Qiang Zhou ◽  
Wei Kun Yao ◽  
Yu Jue Wang ◽  
Yu Feng ◽  
Yan Qing Yu ◽  
...  
Keyword(s):  
Polyaromatic Hydrocarbons ◽  
Beech Wood ◽  
Product Distribution ◽  
Solid Wastes ◽  
Low Density Polyethylene ◽  
Low Density ◽  
Mass Ratio ◽  
Diffusion Property ◽  
Naoh Solution ◽  
Monoaromatic Hydrocarbons

This study investigated catalytic fast pyrolysis (CFP) of beech wood, low-density polyethylene (LDPE), and their mixture (mass ratio of 1) with a conventional microporous ZSM-5 and mesoporous bifunctional Zn/ZSM-5meso zeolite prepared by desilication of the conventional ZSM-5 with NaOH solution and then impregnation with Zn.The generation of mesopores by desilication improved the diffusion property of the zeolite, which decreased the formation of undesired polyaromatic hydrocarbons from secondary polymerization reactions of monoaromatics in CFP. In addition, the impregnation of Zn increased the dehydrogenation activity of the zeolites, and thus enhanced the conversion of low-value alkanes to valuable olefins. As a result, Zn/ZSM-5meso produced higher yields (56.0 C%) of valuable petrochemicals (monoaromatic hydrocarbons and olefins) and lower yields of undesired polyaromatics (1.70 C%) and alkanes (10.2 C%) in co-feed CFP of the beech wood and LDPE mixture than ZSM-5 (48.2 C%, 4.18 C%, and 18.7 C% for petrochemicals, polyaromatics, and alkanes, respectively).ZSM-5 desilication and impregnation with Zn thus have a beneficial effect on improve the product distribution in CFP of biomass and plastic mixtures. In addition, the results suggest that CFP may provide a promising technology for producing renewable petrochemicals from municipal and agricultural solid wastes, which usually contain high contents of biomass and waste plastics.

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