Leray's problem for a viscous incompressible micropolar fluid
This work concerns the steady motion of a viscous incompressible micropolar fluid in unbounded domains having cylindrical outlets to infinity. We prove the existence of a solution that approaches prescribed parallel solutions along the outlets of the domain. We also study the uniqueness, the regularity and the asymptotic behavior of the solution.
Abstract : An elastic-plastic analysis of stresses and strains in an internally pressurized, composite-jacketed cylinder is studied here. Each layer is orthotropic but with different material properties. Analytical expressions are derived for a steel pressure vessel wrapped with multilayered composites. Numerical results are obtained for three types of composite jackets. The interface pressure, hoop strains, and stresses in the liner and jacket are presented.