Boundary Layer Separation Of Boussinesq Equations

Boussinesq equations,related to the study of atmospheric and oceanic circulation,consist of thermodynamic equations coupled with hydrodynamic equations.In this thesis,the conditions of boundary layer separation for isotropic and anisotropic incompressible Boussinesq equations are studied.The main contents include two parts as follows.In the first part,the conditions of boundary layer separation for isotropic incompressible Boussinesq equations are considered.On the straight boundary,the condition of boundary layer separation for the equations is obtained by the Taylor expansion and the geometric theory of incompressible fluid.On the curved boundary,the expression of ?uτ/?n is got by the structural characteristics of isotropic incompressible Boussinesq equations,where u represents the velocity of fluid,τ and n the unit tangent vector and the unit normal vector on the boundary,respectively.Then,the boundary singularity is presented and the condition of boundary layer separation is obtained.In the second part,the conditions of boundary layer separation for anisotropic incompressible Boussinesq equations are investigated.On the straight boundary and the curved boundary,the conditions of boundary layer separation for the equations are obtained by the theory of boundary layer separation.The conditions,determined by initial values and external force,can predict when and where boundary layer separation of the equations will occur.