Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (1): 61-66.

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THE NEW SOLUTIONS FOR TWO KINDS OF AXIALLY SYMMETRICAL LAMINAR BOUNDARY LAYER EQUATIONS

Wang Zhi-qing, Shang Ern-bing   

  1. Haerbin Institute of Technology, Haerbin
  • Received:1986-10-24 Online:1988-01-18 Published:1988-01-18
  • Supported by:

    Project Supported by the Scientific Fund of Chinese Academy of Science

Abstract: The transformations, which are similar to Mangier's transformation, are given in this paper, and make the two kinds of entrance region flow of axially symmetrical laminar boundary layer in internal way into the flow of two-dimensional boundary layer, and simplify the proboems. The simplified equations can be solved by the 2-D boundary layer theory. Therefore, a new way is opened up to solve the axially symmetrical flow in the entrance region of internal way.

Key words: constrained damping, cantilever beam, transient response, Lagrange’s equation, mode superposition

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