The influence of inertia on the stability of isothermal film casting of viscoelastic fluids is examined using a Phan-Thien and Tanner rheological model. The linear stability analysis for two-dimensional disturbances is carried out. The numerical results indicate that the flow can have single or double critical draw ratio depending on the model parameter. While in the former case the flow is stable below and unstable above a critical draw ratio, in the latter case the flow is stable below the lower and above the upper critical draw ratio and unstable between the two values. The inertia is found to have a stabilizing effect on the flow. It is also found that there is a region of Deborah number, where the inertia has a stronger stabilizing effect on stability of flow than elsewhere.

Volume Subject Area:
Fluids Engineering
Topics:
Film casting, Inertia (Mechanics), Stability, Viscoelastic fluids, Flow (Dynamics), Rheology
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