Long-wave instability of interfacial surface of viscous fluids under tangential vibrations
In the work stability of interfacial surface of thin viscous incompressible fluid layers in horizontal vibration field is considered. For description of viscous boundary layer method of multiple scales is used. The critical value of vibration parameter with considering viscosity is found numerically. The condition of long-wave character for instability is improved. Asymptotic value for vibration parameter in case of large viscosity is calculated. It is demonstrated that viscosity of fluids can have stabilizing or destabilizing effect on the stability.