Instabilities in the flow of thin films

J. Diez, L. Kondic

Research output: Contribution to journalArticlepeer-review


We analyze theoretically and computationally the contact line instabilities that develop as a fixed volume of liquid flows down an incline. Analogously to the flow of a continuous stream of liquid (constant flux case) studied previously (Phys. Fluids 13, 3168 (2001)), we perform the study within the lubrication approximation (thin film flow). We find that the fact that only finite amount of liquid is available significantly modifies some aspects of the instability development, although the main features of these two flows are rather similar. The similarities and the differences are analyzed and explained using analytical (linear stability analysis) and computational (fully nonlinear time-dependent simulations) methods.

Original languageEnglish (US)
Pages (from-to)31-36
Number of pages6
JournalInternational Journal of Heat and Technology
Issue number1
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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