In work intensification of convective heat transfer and friction in the vicinity of the critical point of the sphere due to the effect of vorticity at different values of the Mach number in the incoming flow, the Reynolds number and the enthalpy factor are invcstigate. We give approximation formulas for calculating the degree of amplification of the convective heat transfer and friction due to the effect of vorticity, built on the basis of the results of numerical solutions of self-similar equations of the boundary layer (PS).