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三维轴对称曲面击波驻点邻域的高阶理论

朱月锐 姚肇康

朱月锐, 姚肇康. 三维轴对称曲面击波驻点邻域的高阶理论[J]. 应用数学和力学, 1985, 6(12): 1087-1099.
引用本文: 朱月锐, 姚肇康. 三维轴对称曲面击波驻点邻域的高阶理论[J]. 应用数学和力学, 1985, 6(12): 1087-1099.
Zhu Yue-rui, Yao Zhao-kang. Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point[J]. Applied Mathematics and Mechanics, 1985, 6(12): 1087-1099.
Citation: Zhu Yue-rui, Yao Zhao-kang. Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point[J]. Applied Mathematics and Mechanics, 1985, 6(12): 1087-1099.

三维轴对称曲面击波驻点邻域的高阶理论

Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point

  • 摘要: 本文建立了三维轴对称小曲率曲面击波驻点邻域的次级条件,其中包括热传导、粘性、击波结构的影响.这些击波条件是在局部击波斜率代替局部击波曲率前提下建立的.在Prandtl数等于3/4条件下,获得了驻点邻域附近的击波质通量、滞止焓、动量的切向分量和法向分量的修正公式的显形式.
  • [1] Chow,R.and Ting Lu(丁汝),Higher order theory of curved shock,Polytechnic Institute of Brooklyn,Aug.(1960).Aeronautical Research Laboratory Contract,No.AF33(616) -6118,Project No.7064,Task No.70169.
    [2] Tsien,H.S.,The equation of gas dynamics,H.W.Emmons(Editor),Fundamentals of Gas Dynamics,Princeton University Press,Princeton,N.J.(1958).
    [3] Richard,V.M.,Mathematics Theory of Compressible Fluid Flow,Academic Press,Inc.New York(1958).
    [4] Morduchow,M.and P.A.Libby,On a complete solution of the one-dimensional flow equations of viscous,heat-conducting compressible gas,Journal of the Aeronautical Sciences,16,11,Nov.(1949).
    [5] Liebber,P.,F.Romano and H.Lew,Approximate solutions of shock waves in a steady,one-dimensional viscous and compressible gas,Journal of the Aeronautical Sciences,18,1,Jan.(1951).
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出版历程
  • 收稿日期:  1984-05-03
  • 刊出日期:  1985-12-15

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