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The assessment of time dependent flow of Williamson fluid with radiative blood flow against a wedge

Propulsion and Power Research 2020年第1期9卷 87-99页

作者： K.Subbarayudu S.Suneetha P.Bala Anki Reddy Department of Applied Mathematics Yogi Vemana UniversityKadapa516005India Department of Mathematics S.A.S.Vellore Institute of TechnologyVellore632014India

The present pagination reports both Brownian diffusion and thermophoresis aspects subject to magneto hydrodynamic Williamson fluid model.Assuming the flow is unsteady and blood is treated as Williamson fluid over a wedge with radiation.The governing equations are transformed into ordinary differential equations by using similarity variables.The analytical solutions of the transformed governing equations are obtained by using the RK 4th order method along with shooting technique solver.The effects of various physical parameters such as Hartmann number,local Weissenberg number,radiation parameter,unsteadiness parameter,Prandtl number,Lewis number,Brownian diffusion,thermophoresis,wedge angle parameter,moving wedge parameter,on velocity,temperature,concentration,skin friction,heat transfer rate and mass transfer rate have been discussed in detail.The velocity and temperature profile deprives for larger We and an opposite trend is observed for concentration.The radiation parameter is propositional to temperature and a counter behaviour is observed for Pr.

关键词： The present pagination reports both Brownian diffusion and thermophoresis aspects subject to magneto hydrodynamic Williamson fluid model. Assuming the flow is unsteady and blood is treated as Williamson fluid over a wedge with radiation. The governing equations are transformed into ordinary differential equations by using similarity variables. The analytical solutions of the transformed governing equations are obtained by using the RK 4th order method along with shooting technique solver. The effects of various physical parameters such as Hartmann number local Weissenberg number radiation parameter unsteadiness parameter Prandtl number Lewis number Brownian diffusion thermophoresis wedge angle parameter moving wedge parameter on velocity temperature concentration skin friction heat transfer rate and mass transfer rate have been discussed in detail. The velocity and temperature profile deprives for larger We and an opposite trend is observed for concentration. The radiation parameter is propositional to temperature and a counter behaviour is observed for Pr.

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Additional water use influencing strength and fluidity of recycled concrete

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Journal of Central South University 2008年第S1期15卷 221-224页

作者：张学兵方志邓寿昌成珂覃银辉 Civil Engineering & Mechanics College Xiangtan University Civil Engineering College Hunan University College of Civil Engineering Architecture and MechanicsCentral South University of Forestry and Technology

Through adding different additional water use,the compressive strength,splitting tensile strength and fluidity of recycled concrete of three aggregate combination forms were studied by experiment respectively.The experimental results show that with the increase of adding additional water use,the compressive strength and splitting tensile strength of recycled coarse aggregate concrete decrease,but that of recycled fine aggregate concrete and recycled all aggregate concrete increase firstly then decrease.When additional water use is added more 15% or 20% than that of basic ordinary concrete,the recycled coarse aggregate concrete and fine one can get pretty good fluidity.When it is added more 30%,the recycled all aggregate concrete has fluidity that is just satisfied.

关键词： additional water use basic ordinary concrete recycled concrete compressive strength splitting tensile strength fluidity

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On factorizable solution of the differential equation(f')~2-a_0(z)(f-a)1(z))~2f

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Chinese Science Bulletin 1997年第21期42卷 1779-1782页

作者： YUAN Wenjun and HE YuzanInstitute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China Institute of Mathematics Chinese Academy of Sciences Beijing 100080 China

If the coefficients are transcendental, Bergweiler et al. proved that in all possible non-trivialfactorization f(z)=h(g(z)), the growth of the right factor g(z) can be controlled by thegrowth of the coefficients. In ref. [2], He and Laine proved a similar conclusion for two othertypical kinds of nonlinear differential equations. But for the following equation:

关键词： factorization growth order meromorphic function ordinary differential equation.

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On Calculations of Legendre Functions and Associated Legendre Functions of the First Kind of Complex Degree

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Communications in Theoretical Physics 2015年第7期64卷 9-12页

作者： Karl-Erik Thylwe Patrick McCabe KTH-Mechanics Royal Institute of Technology CCDC

Formulas for calculating Legendre functions and associated Legendre functions of the first kind of complex degree using an Ermakov–Lewis invariant are presented. These formulas are straight-forward to implement numerically and are motivated by the lack of computational routines in standard university tools like those of Mat Lab and Maple.Angular waves propagating in opposite directions are also obtained. The results are particularly useful in complex angular momentum theories and nearside/farside analysis of spin-dependent angular scattering from central potentials.

关键词： ordinary differential equations scattering theory

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AVERAGE KOLMOGOROV N-WIDTHS (N-K WIDTH) AND OPTIMAL INTERPOLATION OF SOBOLEV CLASS IN L_p(R)

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Chinese Annals of Mathematics,Series B 1992年第4期13卷 396-405页

作者：陈迪荣 Department of Mathematics Beijing Normrl University Beijing 100875 China.

The author obtains the exact values of the average n-K widths for some Sobolev classes defined by an ordinary differential operator P（D）=multiply from i=1 to r（D-til）, ti∈R, in the metric LR, 1≤p≤∞, and identifies some optimal subspaces. Furthermore, the optimal interpolation problem for these Sobolev classes is considered by sampling the function values at some countable sets of points distributed reasonably on R, and some exact results are obtained.

关键词： exact CLASS N-K WIDTH interpolation reasonably ordinary multiply verified Kolmogorov minimization

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REGULARITY OF HARMONIC MAPS INTO POSITIVELY CURVED MANIFOLDS

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Chinese Annals of Mathematics,Series B 1992年第4期13卷 385-395页

作者：忻元龙 Institute of Mathematics Fudan University Shanghai 200433 China.

Let M be a compact Riemannian manifold of dimension m, N a complete Amply connected δ-pinched Riemannian manifold of dimension n. There exists a constant d(n). It is proved that if m≤d(n), then every minimizing map from M into N is smooth in the interior of M. If m=d(n)+1, such a map has at most diserete singular set and in general the Hausdorff dimension of the singular set is at most m-d(n)-1.

关键词： Riemannian manifold singular minimizing Hausdorff bundle connected interior regularity ordinary

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FOCUS

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China Today 2022年第2期71卷 6-15页

PHOTOS“For a Fantastic,Extraordinary and Excellent Winter Olympics”Chinese President Xi Jinping inspects the preparations for the Beijing 2022 Olympic and Paralympic Winter Games on January 4,2022,and visits the National Speed Skating Oval.Xi lauds it as a good example of lowcarbon operation and multi-purpose utilization which has followed the“green,inclusive,open and clean”approach.

关键词： ordinary Winter approach.

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Gate Opening again for Cosmetics Talents

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China Detergent & Cosmetics 2022年第2期7卷 11-14页

作者： Cai Zhaoyang Qingyan Network Technology(Wu Han)Co. Ltd.China

Recently,the Ministry of Education of China announced the results of the filing and approval of undergraduate disciplines in ordinary colleges and universities in 2021.In the list of newly added undergraduate disciplines,three colleges and universities have added the cosmetics disciplines.The author finds out that in the past five years,18 ordinary colleges and universities have applied to set up cosmetics disciplines.Many people in the industry believe that with the country’s emphasis on the cultivation of cosmetics professionals,the development of our country’s cosmetics industry will also reach a new level.

关键词： ordinary approval universities

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The Last Uncle

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中国新书:英文版 2023年第4期 114-116页

作者： Fan Xi'an 不详

This book collects the writer's 28 proses of recalling his hometown,each from a uniquely personal view.With a simple style and true feelings,the writer recalled the interesting daily life which seems commonplace,depicted a rural picture in the Central Plains full of human feelings of ordinary life,and described the daily life and experiences of rural people.

关键词： Uncle Last ordinary

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WORKING ON THE‘GENEALOGY’OF CHINESE CIVILIZATION

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China Report ASEAN 2022年第9期7卷 28-31页

作者： Zhang Lijuan 不详

Where did China come from?Does Chinese civilization really have a history of 5,000 years?Such questions have nagged not only at broad academia but also many ordinary Chinese people.In 2002,the national research project on tracing the origins of Chinese civilization,a.***.a.the Origins of Chinese Civilization Project(the“Origins Project”for short),was officially launched.The project has now been ongoing for 20 years.A series of major archaeological discoveries and multidisciplinary studies have solidified the fact that Chinese civilization has a history of more than 5,000 years.

关键词： ordinary civilization really

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