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AN EXACT SOLUTIN FOR INCOMPRESSIBLE FLOW THROUGH A TWO-DIMENSIONAL LAVAL NOZZLE
作者姓名:林同骥  浦群
作者单位:Institute of mechainics,Academia Sinien. Beijing,Institute of mechainics,Academia Sinien. Beijing
摘    要:A careful examination of the variation of the velocity along the centerline and thecontour of a Laval nozzle in the physical plane shows that either the upper or the lower halfof the Laval nozzle assumes the same form of a slitted thick airfoil with tandem trailingedges.These two airfoils lie on different Riemann sheets in the hodograph plane.Theinterior of the airfoil is then mapped onto an infinite strip in the complex potential plane.Making use of these results,we obtained an exact solution for the incompressible potentialflow through a two-dimensional Laval nozzle.The solution is applicable for nozzles withany given contraction ratio n1 expansion ratio n2.and throat wall radius R.As examples ofthe method,various nozzle contours,the velocity distribution of the flow,and the locationsof the fluid particles at different time intervals are presented.

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