The solution of a convection–diffusion–reaction equation arising from cathodic reduction in a pulsating crack     

M. D. Warren 《国际流体数值方法杂志》1983,3(3):217-225

This paper derives the convection–diffusion-reaction equation governing the reaction between the dissolved oxygen in sea-water and the steel walls of a pulsating crack. By the neglect of the diffusion term it is shown that an exact solution of the convection-reaction equation can be obtained. A numerical method for the solution of the complete convection–diffusion-reaction equation is derived by the use of finite differences. The numerical computation of the initial transient and the final periodic steady-state values is also discussed.  相似文献   

Semilattices of Groups and Nonstable K-Theory of Extended Cuntz Limits     

Enrique Pardo  Friedrich Wehrung 《K-Theory》2006,37(1-2):1-23

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Evaluation of the drag force by integrating the energy dissipation rate in stokes flow for 2D domains using the FEM     

Ram K. Ganesh 《国际流体数值方法杂志》1991,13(5):557-578

The total drag force on the surface of a body, which is the sum of the form drag and the skin friction drag in a 2D domain, is numerically evaluated by integrating the energy dissipation rate in the whole domain for an incompressible Stokes fluid. The finite element method is used to calculate both the energy dissipation rate in the whole domain as well as the drag on the boundary of the body. The evaluation of the drag and the energy dissipation rate are post-processing operations which are carried out after the velocity field and the pressure field for the flow over a particular profile have been obtained. The results obtained for the flow over three different but constant area profiles—a circle, an ellipse and a cross-section of a prolate spheroid—with uniform inlet velocity are presented and it is shown that the total drag force times the velocity is equal to the total energy dissipation rate in the entire finite flow domain. Hence, by calculating the energy dissipation rate in the domain with unit velocity specified at the far-field boundary enclosing the domain, the drag force on the boundary of the body can be obtained.  相似文献   

The Maximal Closed Classes of Unary Functions in p-Valued Logic     

Liu Renren  Lo Czukai 《Mathematical Logic Quarterly》1996,42(1):234-240

In many-valued logic the decision of functional completeness is a basic and important problem, and the thorough solution to this problem depends on determining all maximal closed sets in the set of many-valued logic functions. It includes three famous problems, i.e., to determine all maximal closed sets in the set of the total, of the partial and of the unary many-valued logic functions, respectively. The first two problems have been completely solved ([1], [2], [8]), and the solution to the third problem boils down to determining all maximal subgroups in the k-degree symmetric group S_k, which is an open problem in the finite group theory. In this paper, all maximal closed sets in the set of unary p-valued logic functions are determined, where p is a prime. Mathematics Subject Classification: 03B50, 20B35.  相似文献   

Investigation of the phosphinyl analog of α-ketoglutaric acid     

I. L. Odinets  O. I. Artyushin  E. A. Antonov  P. V. Petrovskii  B. I. Freger  T. A. Mastryukova  M. I. Kabachnik 《Russian Chemical Bulletin》1994,43(1):121-124

It was shown by³¹P and¹³C NMR spectroscopy that methyl(3-carboxy-3-oxopropyl)phosphinic acid (4-methylhydroxyphosphinyl-2-oxobutyric acid) (1) and the amide (2) of the latter exist in keto forms in non-aqueous solutions. In aqueous solutions an equilibrium between the keto,gem-diol, and enol forms has been observed. The proportions of the diol and enol forms increase as the acidity of the media increases. Silylation of acid 1 with hexamethyldisilazane gives the tris(trimethylsilyl) derivative of enol form (3) (Z- andE-isomers).Translated fromIzyestiya Akadetnii Nauk. Seriya Khimicheskaya, No. 1, pp. 125–128, January, 1994.  相似文献   

偏序集上的滤子极大理想   总被引：3，自引：1，他引：2  

姜广浩  徐罗山 《模糊系统与数学》2007,21(4):35-42

在偏序集上引入并考察了滤子极大理想的概念,证明了相应的存在性定理。引入并考察了伪极大元和伪既约元的概念,利用图表的形式对连续格中各种类型的既约元和素元之间的关系进行了归纳总结,完善了文献《Continuous Lattices and Domains》(作者:G.Gierz,et al)中的一个图表的相关内容,填补了在分配的连续格情形该图表的一个未知内容,部分地回答了该文献中的一个问题。  相似文献   

Note on the Design Differentiability of the Static Response of Elastic Structures     

B. Rousselet 《基于设计的结构力学与机械力学》2013,41(3):353-358

This paper provides a new proof of design sensitivity of the static response of some typical structures. These structures (beams, plates, and plane elastic solids) have been described previously. A proof of design sensitivity of the inverse state operator was provided there, and design sensitivity of static response was derived. The proof presented here is simpler and self-contained.  相似文献   

Separation and Analysis of o.p'-DDD and its Lipophilic Metabolite,O.P'-DDE,in Tissue,Faeces and Plasma     

《Analytical letters》2012,45(11):697-707

Abstract

An analytical procedure based on electron capture gas chromatography for the determination of o,p′-DDD, a drug used for the treatment of Cushing′s syndrome, is presented. Detection of a metabolite, identified as o,p′-DDE, is also described.  相似文献   

Relation between Hall-magnetohydrodynamics and the kinetic Alfvén wave     

Akira Hirose  Atsushi Ito  Swadesh M. Mahajan  Shuichi Ohsaki 《Physics letters. A》2004,330(6):474-480

Effects of a finite ion temperature on the Hall magnetohydrodynamics (MHD), which breaks down for a finite ion temperature, are clarified in terms of a rigorous three-field kinetic dispersion relation. The MHD mode equation becomes anisotropic with respect to the ion pressure because of the double adiabaticity in ion dynamics.  相似文献   

Complex-valued fractional statistics for D-dimensional harmonic oscillators     

Andrij Rovenchak 《Physics letters. A》2014

A system of isotropic harmonic oscillators obeying the Polychronakos fractional statistics with a complex parameter in a space having the dimension D>1$D>1$ is studied. Temperature dependences of the thermodynamic functions are analyzed in different temperature domains. The nature of the observed phase transitions is clarified. Both numerical and analytical estimates for the critical temperature are made depending on the number of particles, space dimensionality, and statistics parameter. Approximate correspondence with some other fractional statistics types is established.  相似文献