DOI QR코드

DOI QR Code

스핀 코팅에서의 액막의 흐름

The Flow of a Liquid Film on Spin Coating

  • 김태성 (삼성SDI 생산기술연구팀)
  • 투고 : 2013.09.10
  • 심사 : 2013.09.23
  • 발행 : 2013.09.30

초록

The flow of a liquid film on spin coating is investigated in the case that the fixed volume of a liquid is placed on the center of a stationary disk. Thin film equations that are well approximated when the characteristic length in the vertical direction is much smaller than that in the radial direction (${\varepsilon}{\ll}1$) and have already been proposed in the work of T.-S. Kim & M.-U. Kim (2009), are used. The differential equation that governs the free surface of a liquid when ${\varepsilon}{\ll}1$ and ${\varepsilon}Re{\ll}1$ is also derived. The basic flow is analyzed using the thin film equations and their results are compared to the results of Navier-Stokes equations.

키워드

참고문헌

  1. B. D. Washo, "Rheology and modeling of the spin coating process", IBM J. Res. Dev., Vol. 21, 1977, pp. 190-198. https://doi.org/10.1147/rd.212.0190
  2. Taku Ohara, Yochiro Matsumoto and Hideo Ohashi, "The film formation dynamics in spin coating", Phys. Fluids A, Vol. 1, No. 12, 1989, pp. 1949-1959.
  3. A. G. Emslie, F. T. Bonner and L. G. Peck, "Flow of a viscous liquid on a rotating disk", J. Appl. Phys., Vol. 29, No. 5, 1957, pp. 858-862.
  4. B. G. Higgins, "Film flow on a rotating disk", Phys. Fluids, Vol. 29, No. 11, 1986, pp. 3522-3529. https://doi.org/10.1063/1.865829
  5. T. J. Rehg and B. G. Higgins, "The effects of inertia and interfacial shear on film flow on a rotating disk", Phys. Fluids, Vol. 31, No. 6, 1988, pp. 1360-1371. https://doi.org/10.1063/1.867005
  6. A. Kitamura, "Asymptotic solution for film flow on a rotating disk", Phys. Fluids, Vol. 12, No. 8, 2000, pp. 2141-2144. https://doi.org/10.1063/1.870460
  7. B. Reisfeld, S. G. Bankkoff and S. H. Davis, "The dynamics and stability of thin liquid film during spin coating. I. Films with constant rates of evaporation or absorption", J. Appl. Phys., Vol. 70, No. 10, 1991, pp. 5258-5266. https://doi.org/10.1063/1.350235
  8. T.-S. Kim and M.-U. Kim, "The flow and hydrodynamic stability of a liquid film on a rotating disc", Fluid Dyn. Res., Vol. 41, No. 3, 2009, pp. 035504. https://doi.org/10.1088/0169-5983/41/3/035504