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Magnus Forces on Spinning Supersonic Cones. Part II. The Inviscid Flow.

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Final rept.,

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The numerical solution of steady, three-dimensional, inviscid, supersonic flows is applied to the calculation of Magnus forces on spinning cones at angle of attack. The Magnus force is made up of several contributions the contribution due to the asymmetrical boundary-layer displacement-thickness interaction with the inviscid flow field is considered here. Three-dimensional, laminar boundary-layer solutions for the spinning cone were obtained by methods described in Part I of this paper. The displacement-thickness contribution to the Magnus force is calculated by solving the complete inviscid flow field over body shapes obtained by adding the three-dimensional displacement thickness to the cone radius. The gas dynamic equations are solved by applying MacCormacks second-order shock-capturing finite-difference technique. Special precautions had to be taken in both finite differencing and in applying the surface boundary conditions to maintain enough significant digits in the pressure calculation, since the Magnus force is as small as one part in three hundred of the normal force for some cases considered. The displacement-thickness contribution to the Magnus force, along with three other contributions described in Part I of this paper, are summarized here in Part II. The considerable cancellation effect observed among the four contributions shows that all of the components must be included if accurate predictions of the Magnus force are to be obtained. Author

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  • Fluid Mechanics

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