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Interfacial Phenomena and Heat Transfer
ESCI

ISSN Print: 2169-2785
ISSN Online: 2167-857X

Open Access

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.v1.i4.10
pages 301-315

STABILITY OF THIN VISCOELASTIC FILMS FALLING DOWN WAVY WALLS

Luis Antonio Dávalos-Orozco
Instituto de Investigaciones en Materiales, Departamento de Polímeros, Universidad Nacional Autónoma de México, Ciudad Universitaria, Circuito Exterior S/N, Delegación Coyoacán, 04510 México D.F., México

ABSTRACT

In this paper the nonlinear stability of viscoelastic thin films falling down a smoothly deformed wall is investigated. The viscoelastic fluid satisfies the Oldroyd's nonlinear constitutive equation. Viscoelasticity adds new degrees of freedom to the fluid motion and it has been shown that the flow becomes more unstable than that of a Newtonian fluid. Here, it is shown that it is still possible to stabilize the viscoelastic thin film in a passive way by means of a spatial resonant effect due to the waviness of the wall, as done before for a Newtonian fluid in the small wave-number approximation.