航空学报 > 1988, Vol. 9 Issue (6): 299-302

平板湍流摩阻系数的显式表达式

是长春   

  1. 北京大学
  • 收稿日期:1987-09-12 修回日期:1900-01-01 出版日期:1988-06-25 发布日期:1988-06-25

AN EXPLICIT EXPRESSION OF THE TURBULENT FRICTIONAL DRAG COEFFICIENT FOR A FLAT PLATE

Shi Changchun   

  1. Beijing University
  • Received:1987-09-12 Revised:1900-01-01 Online:1988-06-25 Published:1988-06-25

摘要: 湍流摩阻系数的计算是工程技术中经常遇到的问题。计算时所依据的公式多为半经验半理论的结果,如Karman公式,Van Driest公式和Prandtl公式等。这些公式是以隐函数给出的,给计算带来不便。但是不难发现,这类公式经过适当的变换,可以化为统一形式的超越代数方程,这种方程没有有限形式的解析解,本文给出了一种近似解析解。根据这种方法除了导出上述公式的显式表达式外,还对White公式作了修正。当然解超越代数方程最根本的方法是迭代法,本文对此也作了简单讨论。

Abstract: This paper presents some analytic expressions associated with those well-known skin-friction formulas for turbulent shear flows. Two methods were developed for this aim. The first one is an approximated analytic solution for the same super-algebraic equation; And the second one is a method of iteration and its convergence has been proven. The skin-friction formula of D.B.Spalding has also been improved in the present work.