Engineering Physics Annotation << Back TO THE THEORY OF HYDRODYNAMIC RESISTANCE OF THE MOVING IN VISCOUS MEDIA THE PARABOLIC FORM BODY S.O. GLADKOV Using a convenient transition from cartesian coordinates to parabolic coordinates, the resistance force of the viscous continuum moving in a viscous continuum with the constant speed of bodies shaped like a paraboloid of rotation is calculated. Due to the Navier-Stokes equations, the distribution of velocities near the surface of the paraboloid has been found and a tensor of viscous tensions has been calculated. It is shown that the problem can be solved accurately and strictly analytically, if you use a convenient orthonormal basis, selected on the surface of the paraboloid. Some limit cases are considered, when the form of paraboloid degenerates in almost disc, in almost hemisphere and sharp conical needle. This was possible thanks to the introduction of the parameter k = 2h/R, where h – is the height of the paraboloid; R – the radius of its base, lying in the plane z = 0. The asymptomatic solutions found meet k three parameters: k >> 1, k << 1 respectively. Keywords: Navier-Stokes equation, orthonormal basis, Kristoffel’s symbols, Laplace operator. DOI: 10.25791/infizik.02.2020.1118 Pp. 30-43.