A METHOD FOR NUMERICAL CALCULATION OF SLIPSTREAM CONTRACTION OF A SHROUDED IMPLUSE DISC IN THE STATIC CASE WITH APPLICATION TO OTHER AXISYMMETRIC POTENTIAL FLOW PROBLEMS,
CATHOLIC UNIV OF AMERICA WASHINGTON D C
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The problem of the axisymmetric flow of an ideal incompressible fluid through an impulse disc bounded by a thin shroud is considered. A systematic calculation procedure is developed, suitable for use on a large electronic digital computer. The results of calculations of the slipstream contraction ratio, in the static case, for cylindrical, conical, and parabolic-cambered shrouds, are presented. It is found that the slipstream contracts less severely, in the case of very short cylindrical shrouds, than had previously been supposed. Also for cylindrical shrouds, it is found that an excellent estimate of the slipstream contraction ratio can be obtained from a comparatively brief calculation. The method of calculation is also applicable to axisymmetric flows about a shrouded impulse discs at finite thrust coefficients, b circular inlets, and c arbitrary annular and solid bodies of revolution. Internal flows within circular ducts can be closely approximated by the internal flows within very long shrouds. A few calculative results are presented to illustrate these applications.