Stability of a thin viscoelastic film falling down an inclined plane
Tao Hu, Qingfei Fu, Yan Xing, Lijun Yang, Luo Xie
Abstract
We study the long-wave instability of a falling film of the Oldroyd-B fluid. The weighted residual method is adopted to model the film dynamics in both linear and nonlinear regimes. The mechanism of the viscoelastic effect on the instability is explored within the framework of the Whitham wave hierarchy theory. We further analyze the film evolution and the traveling waves by means of nonlinear simulations.
Topics & Concepts
Inclined planeFalling (accident)InstabilityViscoelasticityMechanicsNonlinear systemStability (learning theory)Plane (geometry)HierarchyMaterials scienceClassical mechanicsPhysicsMathematicsComputer scienceGeometryComposite materialEconomicsQuantum mechanicsMedicineMachine learningEnvironmental healthMarket economyFluid Dynamics and Thin FilmsRheology and Fluid Dynamics StudiesFluid Dynamics and Turbulent Flows