Acta Mechanica

, Volume 87, Issue 3–4, pp 123–133 | Cite as

New integral equation in the thin airfoil problem

  • S. W. Zhang
  • Y. Z. Chen
Contributed Papers
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Revised:
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Summary

A new integral equation concerning the thin airfoil problem is proposed. In this equation, the unknown function represents vorticity along the thin airfoil, and the right hand term of the equation is chosen as the stream function in two-dimensional potential flow. The equation has a logarithm kernel with a weaker singularity than the known one [1]. After solution of the integral equation, i.e. after determination of vorticity, the lift forces and moment actjing on the thin airfoil can be calculated immediately, as it follows from the Blasius's formulae. Several numerical examples are given.

Keywords

Dynamical System Integral Equation Vorticity Fluid Dynamics Unknown Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • S. W. Zhang
    • 1
  • Y. Z. Chen
    • 2
  1. 1.Division of Applied MathematicsJiangsu Institute of TechnologyJiangsuPeople's Republic of China
  2. 2.Division of Engineering MechanicsJiangsu Institute of TechnologyJiangsuPeople's Republic of China

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