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Natural convection of an alumina-water nanofluid inside an inclined wavy-walled cavity with a non-uniform heating using Tiwari and Das' nanofluid model

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Applied Mathematics and Mechanics(English Edition) 2018年第10期39卷 1425-1436页

作者： M.A.SHEREMET R.TRIMBITAS T.GROSAN2 I.POP Laboratory on Convective Heat and Mass Transfer Tomsk State UniversityTomsk 634050Russia Department of Mathematics Babes-Bolyai UniversityCluj-Napoca 400084Romania

The present study is devoted to numerical analysis of natural convective heat transfer and fluid flow of alumina-water nanofluid in an inclined wavy-walled cavity under the effect of non-uniform heating. A single-phase nanofluid model with experimental correlations for the nanofluid viscosity and thermal conductivity has been included in the mathematical model. The considered governing equations formulated in dimensionless stream function, vorticity, and temperature have been solved by the finite difference method. The cavity inclination angle and irregular walls(wavy and undulation numbers)are very good control parameters for the heat transfer and fluid flow. Nowadays, optimal parameters are necessary for the heat transfer enhancement in different practical applications. The effects of the involved parameters on the streamlines and isotherms as well as on the average Nusselt number and nanofluid flow rate have been analyzed. It has been found that the heat transfer rate and fluid flow rate are non-monotonic functions of the cavity inclination angle and undulation number.

关键词： wavy cavity natural convection Al2O3-water nanofluid non-uniform heating numerical result

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THERMAL POST-BUCKLING OF FUNCTIONALLY GRADED MATERIAL TIMOSHENKO BEAMS

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Applied Mathematics and Mechanics(English Edition) 2006年第6期27卷 803-810页

作者：李世荣张靖华赵永刚 Department of Engineering Mechanics Lanzhou University of Technology Lanzhou 730050P. R. China

Analysis of thermal post-buckling of FGM （Functionally Graded Material） Timoshenko beams subjected to transversely non-uniform temperature rise is presented. By accurately considering the axial extension and transverse shear deformation in the sense of theory of Timoshenko beam, geometrical nonlinear governing equations including seven basic unknown functions for functionally graded beams subjected to mechanical and thermal loads were formulated. In the analysis, it was assumed that the material properties of the beam vary continuously as a power function of the thickness coordinate. By using a shooting method, the obtained nonlinear boundary value problem was numerically solved and thermal buckling and post-buckling response of transversely nonuniformly heated FGM Timoshenko beams with fixed-fixed edges were obtained. Characteristic curves of the buckling deformation of the beam varying with thermal load and the power law index are plotted. The effects of material gradient property on the buckling deformation and critical temperature of beam were discussed in details. The results show that there exists the tension-bend coupling deformation in the uniformly heated beam because of the transversely non-uniform characteristic of materials.

关键词： functionally graded materials Timoshenko beam thermal buckling shooting method numerical result

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一个求解不等式约束优化问题的势函数算法

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高等学校计算数学学报 2004年第3期26卷 242-250页

作者：贺素香武汉理工大学理学院数学系武汉 430070

考虑下述不等式约束优化问题其中f(x),gi(x)(i=1,…,m):IRn→IR都是实值函数.近年来求解(1.1)的原始-对偶算法已成为众多学者的研究热点,如Yamashita(1996,1997),Gay,Overton&Wright(1998)等;这些原始-对偶算法确实具有好的收敛性质和... 详细信息

考虑下述不等式约束优化问题其中f(x),gi(x)(i=1,…,m):IRn→IR都是实值函数.近年来求解(1.1)的原始-对偶算法已成为众多学者的研究热点,如Yamashita(1996,1997),Gay,Overton&Wright(1998)等;这些原始-对偶算法确实具有好的收敛性质和计算效果,但其算法结构相对复杂.本文考虑构造求解(1.1)的势函数方法,它的形式较简单.通过研究Carroll(1961)建立的求解(1.1)的经典障碍函数,本文构造了一个光滑势函数:

关键词： inequality constraints potential function algorithm local conver-gence numerical result

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