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      On the Formation of Regular Patterns from Drying Droplets and Their Potential Use for Bio-Medical Applications

      Journal of Bionic Engineering
      Elsevier BV

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          Long-scale evolution of thin liquid films

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            Pattern formation in drying drops

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              Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet.

              We study the effects of Marangoni stresses on the flow in an evaporating sessile droplet, by extending a lubrication analysis and a finite element solution of the flow field in a drying droplet, developed earlier. The temperature distribution within the droplet is obtained from a solution of Laplace's equation, where quasi-steadiness and neglect of convection terms in the heat equation can be justified for small, slowly evaporating droplets. The evaporation flux and temperature profiles along the droplet surface are approximated by simple analytical forms and used as boundary conditions to obtain an axisymmetric analytical flow field from the lubrication theory for relatively flat droplets. A finite element algorithm is also developed to solve simultaneously the vapor concentration, and the thermal and flow fields in the droplet, which shows that the lubrication solution with the Marangoni stress is accurate for contact angles as high as 40 degrees. From our analysis, we find that surfactant contamination, at a surface concentration as small as 300 molecules/microm(2), can almost entirely suppress the Marangoni flow in the evaporating droplet.
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                Author and article information

                Journal
                Journal of Bionic Engineering
                Journal of Bionic Engineering
                Elsevier BV
                16726529
                September 2010
                September 2010
                : 7
                : S82-S93
                Article
                10.1016/S1672-6529(09)60221-3
                62ba3cb4-34e9-4622-9885-4be8d8c0e953
                © 2010

                http://www.elsevier.com/tdm/userlicense/1.0/

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