Exact Solutions to the Navier–Stokes Equations for Describing the Flow of Multicomponent Fluids with Internal Heat Generation
摘要
Abstract
A new class of exact solutions of the Navier–Stokes equations was found to describe the multilayer incompressible media with Joule energy dissipation. The velocity field is described by the linear forms with respect to two spatial coordinates (the class of exact solutions of Lin–Sidorov–Aristov). The pressure field and temperature field are quadratic forms with a similar dependence on coordinates and coefficients as in the Lin–Sidorov–Aristov class.