摘要
The investigation of Beltrami flows is important for the research on the mechanism of turbulent structure.In this paper the general solutions of the Beltrami flows are given,which depend explicitly on the solutions of three independent Helmholtz equations with scalar unknowns.Velocity fields of Beltrami flows can then be obtained explicitly after the application of some curl operations on the solutions of Helmholtz equa- tions.On the basis of the exact solutions of Euler equations given above,we obtain one kind of exact solu- tions of non-steady Navier-Stokes equations which are also the Beltrami flows.Some interesting examples of Beltrami flows other than'ABC flows','Kolmogolov flows','Rayleigh-Bernard flows','Q-flows' are given.The detailed analytic results of these examples will be published in the near future.
The investigation of Beltrami flows is important for the research on the mechanism of turbulent structure.In this paper the general solutions of the Beltrami flows are given,which depend explicitly on the solutions of three independent Helmholtz equations with scalar unknowns.Velocity fields of Beltrami flows can then be obtained explicitly after the application of some curl operations on the solutions of Helmholtz equa- tions.On the basis of the exact solutions of Euler equations given above,we obtain one kind of exact solu- tions of non-steady Navier-Stokes equations which are also the Beltrami flows.Some interesting examples of Beltrami flows other than'ABC flows','Kolmogolov flows','Rayleigh-Bernard flows','Q-flows' are given.The detailed analytic results of these examples will be published in the near future.
