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,1178. 北京科技大学学报 第30卷 随幂律指数n减小而增大，即ty是n的减函数，也 problem.J Math Anal Appl.1991,159:251 就是说，幂律指数较小的流体对边界层内流体施加 [8]Akcay M.Adil Y M.Drag reduction of a non newtonian fluid by 更大的剪切力， fluid injection on a moving wall.Arch Appl Mech.1999.69: 215 (⑤)当0<<*时，逆来流平板边界层问题最 [9]Zheng L C.Ma L X,He JC.Bifurcation solutions to a boundary 大的剪切应力不是出现在=专处（壁面上），而是 layer problem arising in the theory of power law fluids.Acta 出现在边界层内部：但当u=1(边界层外缘)时，量 Math Sci,2000,20(1):19 纲为1的剪切应力取得最小值T=0. [10]Zheng LC.Zhang X X.He JC.Bifurcation behavior of reverse flow boundary layer problem with special injection/suction. 参考文献 Chin Phys Lett.2003.20(1):83 [11]Zheng L C.Zhang X X.He JC.Drag characteristics of power [1]Schlichting H.Boundary Layer Theory.New York:MeGraw- law fluids on an upstream moving surface.JUnie Sci Tech Bei- Hl.1979 jng,2005,12(6):504 [2]Klemp J B.Acrivos A.A method for integrating the boundary- [12]Zheng L C.Liang C.Zhang XX.The multiple values of skin layer equations through a region of reverse flow.I Fluid Mech. friction for boundary layer separation flow in power law pseudo- 1972,53,177 [3]Klemp J B.Acrivos A.A moving wall boundary with reverse plastic fluids/Proceedings of the 4th Pacific Rim Conference flow.J Fluid Mech.1976,76,363 on Rheology.Shanghai.2005:513 [13]Liu HZ.Shu H J.Boundary Layer Theory.Beijing:China [4]Hussaini MY,Lakin W D.Existence and non uniqueness of sim Communications Press.1991 ilarity solutions of a boundaryayer problem.Q J Mech Appl (刘惠枝，舒宏纪，边界层理论，人民交通出版社，1991) Math,1986,39:15 [14]Zhang H,Zhang XX.Zheng L C.The characteristic of the [5]Hussaini M Y.Lakin W D.Nachman A.On similarity solutions boundary layer in power law fluid//Proceedings of the 5th In- of a boundary layer problem with an upstream moving wall. ternational Conference on Nonlinear Mechanics.Shanghai: SIAM J Appl Math.1987,47(4):699 2007,1189 [6]Vajravelu K,Mohapatra R N.On fluid dynamic drag reduction in some boundary layer flows.Acta Mech.1990.81:59 [15]Zhang H.Zhang XX,Zheng L C.Numerical study of thermal boundary layer on a continuous moving surface in power law flu- [7]Soewono E,Vajravelu K,Mohapatra R N.Existence and ids.J Therm Sci.2007.16(3):243 nonuniqueness of solutions of a singular nonlinear boundary-layer随幂律指数 n 减小而增大即 τxy是 n 的减函数也 就是说幂律指数较小的流体对边界层内流体施加 更大的剪切力． （5）当0＜ξ＜ξ∗时逆来流平板边界层问题最 大的剪切应力不是出现在 u＝ξ处（壁面上）而是 出现在边界层内部；但当 u＝1（边界层外缘）时量 纲为1的剪切应力取得最小值 τxy＝0． 参 考 文 献 ［1］ Schlichting H．Boundary L ayer Theory．New York：McGrawHill1979 ［2］ Klemp J BAcrivos A．A method for integrating the boundarylayer equations through a region of reverse flow．J Fluid Mech 197253：177 ［3］ Klemp J BAcrivos A．A moving-wall boundary with reverse flow．J Fluid Mech197676：363 ［4］ Hussaini M YLakin W D．Existence and non-uniqueness of similarity solutions of a boundary-layer problem． Q J Mech Appl Math198639：15 ［5］ Hussaini M YLakin W DNachman A．On similarity solutions of a boundary layer problem with an upstream moving wall． SIA M J Appl Math198747（4）：699 ［6］ Vajravelu KMohapatra R N．On fluid dynamic drag reduction in some boundary layer flows．Acta Mech199081：59 ［7］ Soewono E Vajravelu K Mohapatra R N． Existence and nonuniqueness of solutions of a singular nonlinear boundary-layer problem．J Math A nal Appl1991159：251 ［8］ Akcay MAdil Y M．Drag reduction of a non-newtonian fluid by fluid injection on a moving wall．A rch Appl Mech199969： 215 ［9］ Zheng L CMa L XHe J C．Bifurcation solutions to a boundary layer problem arising in the theory of power law fluids． Acta Math Sci200020（1）：19 ［10］ Zheng L CZhang X XHe J C．Bifurcation behavior of reverse flow boundary layer problem with special injection／suction． Chin Phys Lett200320（1）：83 ［11］ Zheng L CZhang X XHe J C．Drag characteristics of power law fluids on an upstream moving surface．J Univ Sci Tech Beijing200512（6）：504 ［12］ Zheng L CLiang CZhang X X．The multiple values of skin friction for boundary layer separation flow in power law pseudoplastic fluids∥ Proceedings of the 4th Pacific Rim Conference on Rheology．Shanghai2005：513 ［13］ Liu H ZShu H J．Boundary L ayer Theory．Beijing：China Communications Press1991 （刘惠枝舒宏纪．边界层理论．人民交通出版社1991） ［14］ Zhang HZhang X XZheng L C．The characteristic of the boundary layer in power law fluid∥ Proceedings of the 5th International Conference on Nonlinear Mechanics． Shanghai： 2007：1189 ［15］ Zhang HZhang X XZheng L C．Numerical study of thermal boundary layer on a continuous moving surface in power law fluids．J Therm Sci200716（3）：243 ·1178· 北 京 科 技 大 学 学 报 第30卷