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| Using the inertial velocity field, in commoving dragging coordinator formulation, the instant deformation (deformation in unit time duration) of fluid is formulated. By linear momentum conservation and angular momentum conservation, the generally motion equations are established. They show that: along the streamline, if the instant local rotation angular is invariants, the flow velocity tends decrease. So, the curvature of streamline is increased gradually and finally ended in a center where flow velocity is zero. Through introducing a parameter function defined roughly along streamline, taking the velocity are known quantities, the theoretic solutions for the fluid instant deformation (flow behind circular cylinder) are obtained. Therefore, a set of form solution for digital calculations are established. These theoretic results are valuable for understanding the vortex flow. As a natural expectation, it is valuable for exposing the mechanism of turbulence phenomenon. |
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| Keywords:turbulence; vortex; instant local rotation; instant deformation |
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