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.Abstract: The next order conditions across a three-dimensional curved shock near stagnation point have been established, including the effects of heat conduction, viscosity and the shock structure. These shock conditions involve the local shock curvature in addition to its local inclination. Explicit results have been obtained for the correctional formulations in the mass flux across the shock, the stagnation enthalpy, the tangential component of velocity and the normal component of momentum flux.
-
[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). -
点击查看大图
计量
- 文章访问数: 1733
- HTML全文浏览量: 32
- PDF下载量: 706
- 被引次数: 0
下载:
