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Forced motion of an elastic filament through a narrow tube

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Acta Mechanica Sinica 2015年第6期31卷 789-790页

作者： l.b.Freund Department of Materials Science and Engineering University of Illinois at Urbana Champaign

A polymer filament consisting of many similar molecules linked in a one-dimensional array is very flexible. As a result, shapes with a relatively large curvature can be accommodated elastically. When loosely confined in a thermal environment, such a flexible strand may become tangled owing to its flexibility. When confined within a narrow ＂tube＂ over its full length, a flexible molecule may behave quite differently. Here, we consider the qualitative nature of deformation of an individual filament when confined within a tube. Commonly the tube is formed within the cluster by a large number of surrounding filaments of the same type.

关键词： Statistical mechanics. biofilament. Reptation Partition function

A Search on the Klein-Gordon Equation

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Chinese Physics letters 2006年第10期23卷 2640-2643页

作者： b.Gonül Department of Engineering Physics University of Gaziantep Gaziantep 27310 Turkey

The s-wave Klein-Gordon equation for the bound states is separated in two parts to see clearly the relativistic contributions to the solution in the non-relativistic limit. The reliability of the model is discussed wi... 详细信息

关键词： ARbITRARY DIMENSIONS POTENTIAlS COUlOMb SCAlAR VECTOR DIRAC

EVOlUTION OF ROUGHNESS ON THE SURFACE OF A STRAINED ElASTIC MATERIAl DUE TO STRESS-DRIVEN SURFACE DIFFUSION

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Acta Mechanica Sinica 1994年第1期10卷 16-26页

作者： l.b.Freund Division of Engineering Brown University Providence RI 02912 USA

The free energy of a stressed crystal is assumed to consist of elastic strain energy and surface energy, and the chemical potential for surface diffusion at constant temperature is obtained under this assumption. A gradient in chemical potential results in diffusive mass transport along the surface. The result is applied in considering the phenomena of instability of a flat surface in a stressed material under fluctuations in surface shape, and the transient evolution of surface roughness due to an initial perturbation in the nearly flat free surface of the material, both under plane strain conditions.

关键词： elastic material surface energy diffusion

Surface Characterization and Cell Response of binary Ti-Ag Alloys with CP Ti as Material Control

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Journal of Materials Science & Technology 2012年第9期28卷 779-784页

作者： b.b. Zhang K.J. Qiu b.l. Wang l. li Y.F. Zheng Center for biomedical Materials and Engineering Harbin Engineering University Harbin 150001 China Department of Materials Science and Engineering College of Engineering Peking University Beijing 100871 China

In this study, the surface passive films, dissolution behavior and biocompatibility of Ti-Ag alloys （with 5%, 10% and 20% Ag） were evaluated by X-ray diffraction （XRD） tests, electrochemical corrosion tests, X-ray photoelectron spectroscopy （XPS） tests, dissolution tests and in-vitro cytotoxicity tests. The surface films on the Ti-20Ag alloy are rich in Ti and much deficient in Ag with respect to alloy composition, as identified by XPS. Compared to CP Ti, Ti-SAg and Ti-20Ag alloys show larger impedances and lower capacitances, which can be associated with an increase of the passive layer thickness. Moreover, all Ti-Ag alloys exhibit negligible or low metal release in the test solutions. The in-vitro cytotoxicity results show Ti-Ag alloys seem to be as cytocompatible as CP Ti. From the viewpoint of surface passive film and cytotoxicity, Ti-SAg and Ti-20Ag are considered to be more suitable for dental applications.

关键词： Ti-Ag alloy Surfaces Electrochemical corrosion Cytotoxicity

Repercussion of Hall effect and nonlinear radiation on Couette-Poiseuille flow of Casson-Williamson fluid through upright microchannel

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Applied Mathematics and Mechanics(English Edition) 2022年第12期43卷 1951-1964页

作者： b.J.GIREESHA l.ANITHA Department of Post Graduation Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India Department of Mathematics Adichunchanagiri Institute of TechnologyChikkamagaluru 577102India

The main aim of the present work is to investigate the flow and heat transport properties of non-Newtonian Casson-Williamson fluid through an upright microchannel along with entropy generation analysis,and explore the effects of convective boundary conditions,Couette-Poiseuille flow,and nonlinear *** movement of liquid is scrutinized with the Hall effect and exponential heat *** rheological characteristics of the Casson-Williamson fluid model are also *** considering the desirable similarity variables,the equations of motion are reduced to nonlinear ordinary differential *** Runge-Kutta-Fehlberg fourth-fifth order method along with the shooting method is adopted to solve these dimensionless *** detailed investigation is pictorially displayed to show the influence of effective parameters on the entropy generation and the bejan *** of the major tasks of the exploration is to compare the Casson fluid and the Williamson *** results show that the rate of heat transfer in the Casson fluid is more remarkable than that in the Williamson fluid.

关键词： entropy generation bejan number convective boundary condition Hall effect nonlinear radiation exponential heat source

Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and buongiorno model:an irreversibility analysis

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Applied Mathematics and Mechanics(English Edition) 2023年第9期44卷 1613-1628页

作者： l.ANITHA b.J.GIREESHA Department of PG Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India Department of Mathematics Adichunchanagiri Institute of TechnologyChikkamagaluru 577102India

The thermal properties and irreversibility of the Jeffrey nanofluid through an upright permeable microchannel are analyzed by means of the buongiorno *** effects of the Hall current,exponential space coefficient,nonlinear radiation,and convective and slip boundary conditions on the Jeffrey fluid flow are explored by deliberating the buoyant force and viscous *** non-dimensionalized equations are obtained by employing a non-dimensional system,and are further resolved by utilizing the shooting approach and the 4th-and 5th-order Runge-Kutta-Fehlberg *** obtained upshots conclude that the amplified Hall parameter will enhance the secondary flow *** improvement in the temperature parameter directly affects the thermal profile,and hence the thermal field declines.A comparative analysis of the Newtonian fluid and non-Newtonian fluid(Jeffrey fluid)is carried out with the flow across a porous *** the bejan number,thermal field,and entropy generation,the Jeffrey nanofluid is more highly supported than the Newtonian fluid.

关键词： Jeffrey nanofluid entropy generation exponential heat source porous medium convective and slip boundary condition

Short range correlations in nuclei

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Chinese Physics C 2010年第9期34卷 1224-1228页

作者： l.b.Weinstein Physics Department Old Dominion University

Studying nucleon-nucleon （NN） correlated pairs will teach us a great deal about the high momentum part of the nuclear wave function,the short range part of the NN interaction,and the nature of cold dense nuclear *** correlations are similar in all nuclei,differing only in *** momentum nucleons,p 〉p fermi,all have a correlated partner with approximately equal and opposite *** pair relative momenta of 300 〈prel 〈500 MeV/c,these correlated pairs are dominated by tensor *** is shown by the dominance of pn over pp pairs at pair total momentum and by the parity of pn to pp pairs at large pair total momentum.

关键词： correlations nucleon momentum distributions tensor correlations

black hole shadows in Einstein-bel-Robinson gravity

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Chinese Physics C 2024年第5期48卷 272-283页

作者： b.Hamil b.C.lütfüoğlu laboratoire de Physique Mathématique et Subatomique Facultédes Sciences ExactesUniversitéConstantine 1ConstantineAlgeria Department of Physics University of Hradec KrálovéRokitanského 6250003 Hradec KrálovéCzechia

Gravity models given by higher-order scalar curvature corrections are believed to bear important consequences. Einstein-bel-Robinson (EbR) gravity with quartic curvature modification motivated Sajadi et al. to explore static spherically symmetric black hole solutions using perturbative methods. In this study, inspired by their work, we investigate AdS black hole shadows in EbR gravity and demonstrate how the gravity parameter alters the energy emission rate. Finally, we address the same problem in the presence of plasma, because the black holes are thought to be surrounded by a medium that changes the geodesic of photons.

关键词： black hole shadows Einstein-bel-Robinson gravity plasma

USING THE SKEW-SYMMETRIC ITERATIVE METHODS FOR SOlUTION OF AN INDEFINITE NONSYMMETRIC lINEAR SYSTEMS

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Journal of Computational Mathematics 2014年第3期32卷 266-271页

作者： b.l. Krukier l.A. Krukier Southern Federal University Computer Center Rostov-on-Don Russia

The concept of the field of value to localize the spectrum of the iteration matrices of the skew-symmetric iterative methods is further exploited. Obtained formulas are derived to relate the fields of values of the original matrix and the iteration matrix. This allows us to determine theoretically that indefinite nonsymmetric linear systems can be solved by this class of iterative methods.

关键词： Skew-symmetric iterative methods Indefinite nonsymmetric linear systems.