1
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Secondary instabilities of linearly heated falling films

, , &
Pages 205-212 | Received 09 May 2004, Published online: 15 Aug 2006

References

References

  • Kapitza PL Wave flow of thin viscous fluid layers Zh. Eksp. Teor. Fiz. 1948 18 3 28 also in: Collected Works of P. L. Kapitza, Oxford: Pergamon, 1965
  • Kapitza PL Kapitza SP Wave flow of thin fluid layers of liquid Zh. Eksp. Teor. Fiz. 1949 19 105 120 also in: Collected Works of P. L. Kapitza, Oxford: Pergamon, 1965.
  • Chang , HC . 1994 . Wave evolution on a falling film . Annu. Rev. Fluid Mech. , 26 : 103 – 136 .
  • Oron , A , Davis , SH and Bankoff , SG . 1997 . Long-scale evolution of thin liquid films . Rev. Mod. Phys. , 69 : 931 – 980 .
  • Kalitzova-Kurteva , P , Slavtchev , S and Kurtev , I . 2000 . Linear instability in liquid layers on an inclined, non-uniformly heated wall . J. Theor. Appl. Mech. , 30 ( 4 ) : 12 – 23 .
  • Miladinova , S , Slavtchev , S Lebon , G . 2002 . Long-wave instabilities of non-uniformly heated falling films . J. Fluid Mech. , 453 : 153 – 175 .
  • Benney , DJ . 1966 . Long waves on liquid films . J. Maths. Phys. , 45 : 150 – 155 .
  • Joo , SW and Davis , SH . 1992 . Instabilities of three-dimensional viscous falling films . J. Fluid Mech. , 242 : 529 – 547 .
  • Roskes , GJ . 1970 . Three-dimensional long waves on a liquid film . Phys. Fluids , 13 : 1440 – 1445 .
  • Gjevik , B . 1970 . Occurrence of finite-amplitude surface waves on falling liquid films . Phys. Fluids , 13 : 1918 – 1925 .
  • Lin , SP . 1974 . Finite amplitude side-band stability of a viscous film . J. Fluid Mech. , 74 : 417 – 429 .
  • Chang , HC . 1989 . Onset of nonlinear waves on falling films . Phys. Fluids , A ( 1 ) : 1314 – 1327 .
  • Joo , SW , Davis , SH and Bankoff , SG . 1991 . Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers . J. Fluid Mech. , 230 : 117 – 146 .
  • Boyd JP Chebyshev and Fourier Spectral Methods 2nd ed. New York Dover Publications Inc. 1999
  • Orszag , SA and Patera , AT . 1983 . Secondary instability of wallbounded shear flows . J. Fluid Mech. , 128 : 347 – 385 .
  • Herbert , T . 1983 . Secondary instability of plane channel flow to subharmonic three-dimensional disturbance . Phys. Fluids , 26 : 871 – 874 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.