QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE

QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE

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摘要 The variational analysis of the Pseudo-potential function-vortex-potential function model, a new mathematical model, was developed and by which the flow field with transonic speed and curl was decided, and different sorts of the variational principle for vortex potential function were established by transforming the original equation for vortex-function, the boundary conditions for vortex-potential function was raised. The variational analysis of the Pseudo-potential function-vortex-potential function model, a new mathematical model, was developed and by which the flow field with transonic speed and curl was decided, and different sorts of the variational principle for vortex potential function were established by transforming the original equation for vortex-function, the boundary conditions for vortex-potential function was raised.

作者沈远胜刘高联刘永杰

机构地区 School of Material Science and Engineering Shanghai Institute of Applied Mathematics and Mechanics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第1期10-15,共6页 应用数学和力学（英文版）

关键词 pseudo-potential function vortex-potential function CURL quasi-variational principle boundary condition pseudo-potential function vortex-potential function curl quasi-variational principle boundary condition

分类号 O357 [理学—流体力学]

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1LIU Gao_lian.A term_condensing method of the common function derived in based different equation and generalized potentials for three dimension fluid flow[].Journal of Shanghai Machinery Institute.1983
2WU Wen_quan.Stream function equation groups of impeller machine for three dimension flow[].Journal of Mechanical Engineering.1979
3SHEN Yuan_sheng,YU Da_bang,LIU Gao_lian.Pseudo_potential function model and its form in arbitrary curve coordinate for 3_D compressible rotational ideal fluid[].In: th National Congress on Fluid Dynamics the Fourth National Academic Conference Collected Works on Fluid Dynamics.1997
4Giese J H.Stream functions for three dimension flows[].Journal of Mathematical Physics.1951

1Isospin Dependence of Rotational Flow[J].近代物理研究所和兰州重离子加速器实验室年报：英文版,1999(1):120-120.
2申明,西宁,孔茜,葛丽娟,施解龙,王奇.Gaussian solitons in nonlocal media:variational analysis[J].Chinese Physics B,2009,18(7):2822-2827.
3刘贵斌,刘邦贵.A Green’s function model for ferromagnetism and spin excitations of (Ga, Mn)As diluted magnetic semiconductors[J].Chinese Physics B,2009,18(11):5047-5054.
4徐国亮,陈敬东,夏要争,刘雪峰.Pseudo-potential investigations of structural,elastic and thermal properties of tungsten disilicide[J].Chinese Physics B,2009,18(8):3495-3499.
5郭友中.VARIATIONAL INEQUALITIES ON A STAR SET[J].Chinese Science Bulletin,1984,29(5):579-581.
6LIANG LiFu,SONG HaiYan.Non-linear and non-conservative quasi-variational principle of flexible body dynamics and application in spacecraft dynamics[J].Science China(Physics,Mechanics & Astronomy),2013,56(11):2192-2199. 被引量：10
7郑振初.GLOBAL　BEHAVIOUR　OF　THE　SOLUTIONS　OF　A　CLASS　OF　THREE－DIMENSIONSAL　COMPETITIVE　SYSTEM[J].Annals of Differential Equations,1995,11(2):147-156.
8I.Siddique,D.vieru.Exact solution for the rotational flow of a generalized second grade fluid in a circular cylinder[J].Acta Mechanica Sinica,2009,25(6):777-785.
9Kohji Furuhashi,Hideaki Okayama,Hirochika Nakajima.Two -Dimensional Wavelength Selective Diffraction by High-Order Three-Dimensional Composite Grating[J].光学学报,2003,23(S1):295-296.
10V.Zanganeh,M.Mirzaei,N.Wang.The Analytical Parametrization of Fusion Barrier by Using the Skyrme Energy-Density Function Model[J].Communications in Theoretical Physics,2015(8):177-184.

Applied Mathematics and Mechanics(English Edition)

2004年第1期

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QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE

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