Perturbation Analysis of a Meandering Rivulet

섭동법을 이용한 만곡 리뷸릿에 관한 이론적 연구

  • 김진호 (한국과학기술연구원 열·유동제어연구센터) ;
  • 김호영 (한국과학기술연구원 열·유동제어연구센터) ;
  • 강병하 (국민대학교 기계·자동차공학부) ;
  • 이재헌 (한양대학교 공과대학 기계공학부)
  • Published : 2001.12.01

Abstract

The rivulet is a narrow stream of liquid flowing down a solid surface. When the rivulet\`s flow rate exceeds a certain limit, it tends to meander exhibiting the instability of its interface. This analysis performs a perturbation analysis of this meandering rivulet assuming an inviscid flow possessing contact angle hysteresis at the contact line. The analysis reveals that the contact angle hysteresis as well as the velocity difference across the inter-face, strongly induces the instability of the liquid interface. Moreover, when the rivulet veto-city is low, it is predicted that the axisymmetric disturbance amplifies more rapidly than the anti-axisymmetric disturbance, which explains the emergence of the droplet flow at the low velocity regime.

Keywords

References

  1. Verfarenstechnik v.3 no.10 Zur Hydrodynamik der Rinnsale Kern J.
  2. Verfarensrechnik v.5 no.7 Stabilitatsprobleme der Rinnsalstromung Kern J.
  3. J. Fluid Mech. v.215 On the Stability of Rivulet Folw Schmuki P.;Laso M.
  4. Proc. Lond. Math. Soc. v.10 On the Stability of Jets Rayleigh;Lord
  5. The Static Rivulet J. Fluid Mech. v.98 Moving Contact Lines and Rivulet Instabilties Davis S.H.
  6. Long Waves on Flat Rivulets J. Fluid Mech. v.107 Moving Contact Lines and Rivulet Instabilities Weiland R.H.;Davis S.H.
  7. Small Drops or Bubbles Having Contact Angles of Arbitrary Size J. Fluid Mech. v.151 On the Ability of Drops or Bubbles to Stick to Non-Horizontal Surfaces of Solids Dussan V.E.B.
  8. J. Fluid Mech. v.176 Rivulet Instabilities Young G.W.;Davis S.H.
  9. J. Fluid Mech. v.65 On the Motion of a Fluid-Fluid Interface along a Solid Surface Dussan V.E.B.;Davis S.H.
  10. Hydrodynamic and Hydromagnetic Stability Chandrasekhar S.
  11. J. Fluid Mech. v.343 Formarion and Stability of Liquid and Molten Beads on a Solid Surface Schiaffino S.;Sonin A.A.
  12. Trans. ASME v.75 The Mechanism of Disintegration of Liquid Sheets York J.L.;Stubbs H.E.;Tek M.R.
  13. J. Applied Mech. v.22 A Study of the Stability of Plane Fluid Sheets Hagerty W.W.;Shea J.F.
  14. Phys. Fluids v.3 no.10 The Linear and Nonlinear Shear Instability of a Fluid Sheet Rangel R.H.;Srignano W.A.
  15. Ph.D. Thesis Rivulet Meandering Culkin J.B.
  16. Proceedings of ICMF 2001 no.822 Instability of Rivulet Flow on Inclined Solid Surface Kim J.H.;Kim H.Y.;Lee J.H.
  17. J. Colloid Interface Sci. Sliding Liquid Drops down an Inclined Solid Surface Kim H.Y.;Lee H.J.;Kang B.H.
  18. J. Colloid Interface Sci. v.146 no.1 An Experimental Investigation of the Dynamic Dontact Angle Liquid-Liquid Systems Fermigier M.;Jenffer P.