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Three-dimensional free bio-convection of nanofluid near stagnation point on general curved isothermal surface
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作者 Qingkai ZHAO Hang XU +2 位作者 Longbin TAO A.RAEES Qiang SUN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第4期417-432,共16页
In this paper, the three-dimensional nanofluid bio-convection near a stagnation attachment is studied. With a set of similarity variables, the governing equations embodying the conservation of total mass, momentum, th... In this paper, the three-dimensional nanofluid bio-convection near a stagnation attachment is studied. With a set of similarity variables, the governing equations embodying the conservation of total mass, momentum, thermal energy, nanoparticles and microorganisms are reduced to a set of fully coupled nonlinear differential equations. The homotopy analysis method (HAM)-finite difference method (FDM) technique is used to obtain exact solutions. The effect of various physical parameters on distribution of the motile microorganisms and the important physical quantities of practical interests are presented and discussed. 展开更多
关键词 NANOFLUID stagnation point BIOCONVECTION gyrotactic microorganisms homotopy analysis method (HAM)-finite difference method (FDM)
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三角恒等变换中的六类创新问题
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作者 冷文华 《中学生数理化(高一数学)》 2025年第12期40-41,M0002,共3页
创新1:三角恒等变换中的“差异分析法”例1计算:3/sin^(2)20°-1/cos^(2)20°+64sin^(2)20°=____。解析:3/sin^(2)20°-1/cos^(2)20°+64sin^(2)20°=3sin^(2)20°-sin^(2)20°/sin^(2)20°·... 创新1:三角恒等变换中的“差异分析法”例1计算:3/sin^(2)20°-1/cos^(2)20°+64sin^(2)20°=____。解析:3/sin^(2)20°-1/cos^(2)20°+64sin^(2)20°=3sin^(2)20°-sin^(2)20°/sin^(2)20°·cos^(2)20°+64sin^(2)20°=(√3cos^(2)20°-sin^(2)20°)(√3cos^(2)20°+sin^(2)20°)/sin^(2)20°·cos^(2)20°+32-32cos^(2)40°=4cos50°sin80°/1/4sin^(2)40°+32-32cos 40°+32-32cos40°=32。 展开更多
关键词 innovative problem solving difference analysis method triangle identity transformation
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