Iv. Simonov, ESTIMATES OF THE PRESSURES, TEMPERATURES AND DRAG COEFFICIENT IN THE SUPERSONIC-FLOW OF A MEDIUM AROUND BLUNT BODIES, Journal of applied mathematics and mechanics, 59(4), 1995, pp. 635-643
Equations for determining the density, pressure and temperature at the
stagnation point of steady supersonic dow around a body are obtained
from the conservation laws on the leading shock wave front and the Ber
noulli integral behind the front. Different relations defining the med
ium are used: in the form of the Mie-Gruneisen equation (soils and met
als) and the Tate equation (fluids). An upper and lower estimate of th
e head drag is given on the basis of an hypothesis that the contact pr
essure field is equalized as the flow velocity increases, which is sub
stantiated by well-known calculations. The results of calculations for
two types of sands, clay and water are presented. The corrections, wh
en account is taken of heat conduction, viscosity and plasticity, are
found.