Contains Rotor Incompressible Fluid In The Pipe For The Existence Of A Global Weak Sloution

Rigid-body mixed with the fluid flow model, especially the rigid body and viscous incompressible fluid mixed flow model, widely used in petrochemical field, is a rigid body and fluid mechanics research in the field of hot spots. Circular pipe flow problem is a rigid body and fluid mixing flow in one of the actual physical problems, such as a tube and shell heat exchanger, containing multiple rotor under the effect of fluid in the pipeline free rotation, achieve heat transfer through the rotation of the rotor, clean, strengthen heat transfer, and so on.Fluid-structure interaction problem is the difficulties of rigid body and fluid on the edge of the area, due to the rigid body motion, the boundary is changed over time. In the present study a single rigid body fluid movement of problems usually adopt the method of coordinate transformation, this fluid field in the new coordinates will not change with time and change, but this kind of method for multiple rigid body of fluid-structure interaction problems due to its transformation expression it very difficult to write directly, therefore, cannot be used in the calculation. Handle multiple rigid body fluid-structure interaction problems are usually adopt virtual area method, namely the rigid body, and then the approximate method of virtual into fluid. After the separate area and rigid body fluid area, is an important step in this article.Due to the irregular shape rotor, in this paper, by using the method of virtual area, combined with the pressure of the local decomposition method to deal with multiple rotor three-dimensional flow problem. Finally we proved the multiple rotor viscous incompressible fluid in the pipeline for the existence of a global weak solution.