椭圆截面曲线管道内二次流动的Galerkin解

推导了任意空间曲线直角坐标系内的张量流体力学方程．采用Galerkin方法和计算机符号运算技术求解了椭圆截面螺旋管道（电括弯管、扭管）内的二次流动．计算结果表明了Galerkin方法的适用和有效性，克服了振动法的小参数局限．对所得结果的分析揭示了椭圆截面螺旋管道内流动的特性，给出了k,r和Re较大情况的研究结论．

GALERKIN SOLUTIONS OF LAMINAR FLOW IN HELICAL ELLIPTICAL PIPES

Helloal pipes are used extensively in industrial applications and the secondary flow affects the various aspects of the fluid in them considerably. For this reason, many efforts have been made in this field and mostly focused on planar curved pipe flows. Furthermore, since the circular cross-section is a special elliptical cross-section, the researches of the flow in elliptical pipes must have more profound significant.In terms of tensor analysis technique, the Navier-Stokes equations in a curvilinear coord...