Continuous deposition of a liquid thread onto a moving substrate. Numerical analysis and comparison with experiment

S. Ubal, B. Xu, B. Derby, P. Grassia

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The printing of a thin line of liquid onto a moving flat solid substrate was studied numerically. For a fixed value of the Capillary number, the window of steady state deposition was explored in terms of the substrate-nozzle gap and flow rate parameter space for two nozzle configurations: a nozzle pointing vertically at the plate and a nozzle slightly tilted towards the substrate motion direction. A lower limit for the flow rate was found, below which no steady state solutions could be obtained. This minimum flow rate increases as the nozzle stand-off and the nozzle tilting do. Solutions near this lower flow rate boundary were stable under a flow rate perturbation. The process was also studied experimentally and the measurements were compared with the corresponding numerical simulations, giving a fairly good agreement, except in the advancing front deposition region.
Original languageEnglish
Article number021301
Number of pages17
JournalJournal of Fluids Engineering
Issue number2
Publication statusPublished - 6 Mar 2012



  • liquid thread
  • moving substrate
  • nozzle positioning

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