According to the moment of momentum theorem, the dynamic equations when the rotor, the inner ring-rotor, and the outer ring-inner ring-rotor rotate around the rotary axis of the rotor, the inner ring, and the outer ring, respectively, are given by
Set a and ft as the corner of outer frame and internal frame, according to the theory of moment of momentum, based on (9) and (10), the steady-state dynamic equation of gyroscope under ideal constraints is
For the point mass m in the object it is possible to calculate the moment of momentum with the radius-vector product and vector product of velocity and mass point.
If there are multiple contact points of two objects, it is necessary to study the collision of each point and restore momentum and moment of momentum, if a collision occurred.
having the physical sense of the internal moment of momentum (angular momentum, spin) of the turbulent flow field and expressing a local measure of the average effect of a preferred orientation of turbulent eddy rotation.
The motion description of turbulent media with the condition M [not equal to] 0 is formulated within the equations for the average momentum (the Reynolds equation) with an asymmetric turbulent stress tensor, for the moment of momentum M, and for energy [K.sup.0].
Besides the CTM, the RAT theory also comprises the idea of the 1970s to incorporate the equation of the moment of momentum (angular momentum) into the turbulence description setup [18-21], discussed in the context of possible applications of the hydrodynamics of micropolar continua developed in the 1960s-1970s [22-25].
We consider a steady plane flow with u = (0,u(x),0), [OMEGA] = (0, 0, [OMEGA]) in the right-hand Cartesian coordinate system (x, y, z) with z directed upwards and with the neglected effect of advection of the moment of momentum M = (0, 0, M = J[OMEGA]) (J is the effective moment of inertia determined from M = J[OMEGA]).
The inverse [[lambda].sup.-1] determines the non-dimensional diffusion scale of the moment of momentum.