We consider the axisymmetric flow of a Newtonian fluid associated with the spreading of a thin liquid film on a rotating annular disk. The effects of surface tension and gravity terms are included. The asymptotic solution for the free surface of the thin film is found using an expansion for the film thickness in powers of a small parameter characterizing the thickness of the film and applying the method of matched asymptotic expansion. This solution can be used to calculate the thickness of the film, the velocity field, and the pressure at any point on the disk with good accuracy. Numerical results are presented for a specific initial distribution of the film thickness. Many features of the spin-coating thinning process are captured by our asymptotic solution. We also produce results which are in excellent agreement with the experimental findings of Daughton and Givens (6) and Hwang and Ma (9).
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ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
July 14–18, 2002
Montreal, Quebec, Canada
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3616-9
PROCEEDINGS PAPER
Thin Liquid Film Flow on a Rotating Annular Disk: Asymptotic Solution Available to Purchase
Prabir Daripa,
Prabir Daripa
Texas A&M University, College Station, TX
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P. C. Ray
P. C. Ray
ISI, Calcutta, India
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Prabir Daripa
Texas A&M University, College Station, TX
B. S. Dandapat
ISI, Calcutta, India
P. C. Ray
ISI, Calcutta, India
Paper No:
FEDSM2002-31235, pp. 511-522; 12 pages
Published Online:
February 24, 2009
Citation
Daripa, P, Dandapat, BS, & Ray, PC. "Thin Liquid Film Flow on a Rotating Annular Disk: Asymptotic Solution." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 2: Symposia and General Papers, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 511-522. ASME. https://doi.org/10.1115/FEDSM2002-31235
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