| The stability and nonlinear flow of viscoelastic draining film is studied for isothermal and heat transfered film. The Oldroyd four-constant model is used to describe the liquid which has elasticity and shear thinning effects additionally. The long-wave evolution equation for two-dimensional disturbances is derived. The evolution equation incorporates gravity, viscosity, surface tension, elasticity, shear thinning, thermocapillarity, thermal viscosity, and thermal elasticity effects. The linear-stability analysis is performed among parameters. The fully nonlinear development of the surface-wave instability in a viscoelastic film, is studied by numerical solution, including shear thinning and thermal viscosity that are not covered by linear-stability analysis. |
