Remarks on unsteady Newtonian flow theory
Abstract
Unsteady high Mach number flows past oscillating cones and oscillating wedges are studied according to Newtonian impact theory, with and without centrifugal force corrections. It is found that, contrary to current theories, the centrifugal force contribution in unsteady flow is significant and not negligible; for example, it contributes onehalf to the dynamic stability derivatives of an oscillating wedge and onethird to that of an oscillating cone. In both cases the dynamic stability derivatives calculated by Newtonian impact theory with centrifugal force correction agree exactly with those obtained by gasdynamic theory in the double limit specific heat ratio of the gas tending to unity and freestream Mach number tending to infinity independently. These conclusions are expected to hold for more general threedimensional unsteady Newtonian flow when the Newtonian shock layer is attached.
 Publication:

Aeronautical Quarterly
 Pub Date:
 February 1976
 Bibcode:
 1976AeQ....27...66M
 Keywords:

 Centrifugal Force;
 Conical Flow;
 Flow Theory;
 Newton Theory;
 Unsteady Flow;
 Wedge Flow;
 Gas Dynamics;
 Mach Number;
 Newtonian Fluids;
 Oscillating Flow;
 Shock Layers;
 Stability Derivatives;
 Fluid Mechanics and Heat Transfer