The flow and hydrodynamic stability of a liquid film on a rotating disc

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The flow of a liquid film on a rotating disc is investigated in the case where a liquid is supplied at a constant flow rate. We propose thin film equations by the integral method with a simple approach to satisfy the boundary conditions on a disc and a free surface, and the results are compared with those of the Navier-Stokes equations. The radial film velocity is assumed to be a quartic profile in our analysis, whereas it was assumed to be a quadratic one, neglecting the inertia force so that the boundary conditions were not completely satisfied, in the analysis of Sisoev et al (2003 J. Fluid Mech. 229 531-54). The basic flow and its stability are analyzed using the thin film equations even in the region where the inertia force is not negligible. A local stability analysis of the flow is conducted using the linearized disturbance equations and correctly predicts Needham's simple instability criterion. The present thin film equations give a good approximation of the Navier-Stokes equations.
Publisher
Iop Publishing Ltd
Issue Date
2009
Language
English
Article Type
Article
Keywords

INCLINED PLANES; WAVE FORMATION; LAMINAR-FLOW; DYNAMICS; SURFACE; LAYER; JET

Citation

FLUID DYNAMICS RESEARCH, v.41, no.3

ISSN
0169-5983
DOI
10.1088/0169-5983/41/3/035504
URI
http://hdl.handle.net/10203/93483
Appears in Collection
ME-Journal Papers(저널논문)
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