Long interfacial waves on the upper convected Maxwell (UCM) fluid film

摘要: Abstract The problem of hydrodynamic instability a very thin UCM liquid film flowing down on the outer surface an inclined plane is investigated. In order to improve accuracy numerical results, viscoelastic parameters and van der Waals forces have been included into governing equations. Also, analytical solutions are obtained by utilizing long-wave perturbation method. influence some physical discussed in both linear non-linear steps problem. It has revealed that flow weakened when Reynolds number, property attractive force reduced. Further, can be stabilized short-range Born repulsion. results show supercritical stability subcritical may take place within system. Moreover, presence terms leads obvious difference behavior parameters.