摘要
利用基于带有物理基的非笛卡儿张量分析的广义矩阵法，在非正交的螺旋线坐标系中。推导出了连续性方程和Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组．并利用有限元法．解出了上述偏微分方程组．借以分析研究了螺旋状矩形管在定带、充分发展的层流流动中，管的曲率、挠率和横截面倾斜角对流动特性的种种影响，并适当地与环状矩形管作了比较，从中探索出流动参数的变化对流动特性变化影响的规律。
With the generalized matrix method based on non-Cartesian tensor analysis with physital base, derived the countinuity equation and Nabs-Stokes equations innonorthogonal helical .coordinate system. Employed the finite-element method to solve the above governing pantial differential equations. The obective of this work is to study and anaylze the fully developed steady laminar flow in the befital square pipe. The inthaCtion effcts of curVature, torsion and inclined angle of the cross section on the changes of flow characteristic is pressented here, and comparsion with the characteristic for toroidal squareducts. Finally, the principles of flow parametere variation influenced the changes of flow cbaracteristics are obtained for different Curvature and torsion.
出处
《宁波大学学报（理工版）》
CAS
1994年第2期41-52,共12页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家自然科学基金
关键词
非笛卡儿张量
广义矩阵法
非正交螺旋线坐标系
曲率
挠率
充分发展层流流动
环状矩形管
Non-Cartesian tensor generalized matrix method nonorthogonal belical coordinate system fully developed laminar flow curvature torsion toroidal square duct
