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28 March 2024
 
  » pubmed » pmid12689102

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Tumbling of vesicles under shear flow within an advected-field approach
T Biben ; C Misbah ;
Date 28 Feb 2003
Journal Phys Rev E, 67 (3 Pt 1), 031908
AbstractWe study dynamics of vesicles with a viscosity contrast between the interior and exterior, and subjected to a linear shear flow. It is shown that the vesicle, which assumes a steady orientation with respect to the shear flow for r identical with eta(in)/eta(out)<r(c) (where eta(in) and eta(out) are the internal and external viscosities, and r(c) is a critical value which depends upon the swelling factor), undergoes a tumbling bifurcation for r>or=r(c). Tumbling occurs as a saddle-node bifurcation. We present analytical and numerical results. We develop a powerful method, the advected-field approach. This method allows one to treat several different phenomena with great flexibility.
Source PubMed, pmid12689102
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