伸展垂直薄片非定常层流自然对流的群论分析  

Group Theory Analysis of Unsteady Laminar Natural Convection Flows on a Vertical Stretching Sheet

作　　者：许学谘[1] 崔良成[1] 施俊美 

机构地区：[1]浙江大学,杭州310027

出　　处：《空气动力学学报》1997年第4期468-478,共11页Acta Aerodynamica Sinica

摘　　要：用Morgan的双参数变换群理论，对磁场作用下的伸展垂直薄片的不可压缩非定常层流自然对流边界层流动进行相似性分析，得到了三种情况下的相似性解方程组。并在不同的Pr，Nm，Fc和r下，用四阶龙格－库塔法进行了数值求解，得到了速度和温度分布，并给出了一组相似性解的结果。In this paper applying Morgan's two parameter transformation groups theory, we analyzed the similarity solution for incompressible unsteady laminar natural convective boundary layer flow on a vertical stretching sheet. Wherc a magnetic field is imposed along the y-axis we obtaineil similarity equations for three cases, which are furthermore numerically solved with different parameters Pr, Nm, Fc and r using a fourth Runge-Kutta method. The numerical results are exhibited in the from of nondimensional velocity and temperature distributions.

关 键 词：非定常 自然对流 变换群 相似性解 层流 边界层 

分 类 号：O357.4[理学—流体力学]