LI Kai-tai, SHI Feng. Hodograph Method of Flow on Two-Dimensional Manifold[J]. Applied Mathematics and Mechanics, 2010, 31(3): 337-350. doi: 10.3879/j.issn.1000-0887.2010.03.009
Citation: LI Kai-tai, SHI Feng. Hodograph Method of Flow on Two-Dimensional Manifold[J]. Applied Mathematics and Mechanics, 2010, 31(3): 337-350. doi: 10.3879/j.issn.1000-0887.2010.03.009

Hodograph Method of Flow on Two-Dimensional Manifold

doi: 10.3879/j.issn.1000-0887.2010.03.009
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-02-02
  • Publish Date: 2010-03-15
  • For some special flow, especially the potential flow in the plane, there are obvious advantages using the tool of hodograph method. For the realistic flow, there exists stream surface, namely, two-dmi ensionalmanifold, on which the velocity vector of the flow liesits tangent space. By in troducing the stream function and potential function, the hodograph method for potential flow on a surface was established with the help of tensor analysis, which provided a kind of analysis method. For the derived hodograph equation, the characteristic equation and its characteristic roots were also derived, from which the type of the hodograph equation of the second order can be classified. Moreover, some examples for special surfaces were given.
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