Lecture notes Breakup of cylindrical jets Singularities and self-similar solutions

نویسندگان

  • Stephane Popinet
  • Arnaud Antkowiak
چکیده

Following Eggers and Dupont (1994), we will derive approximate equations of motion valid in the limit of slender jets i.e. jets for which the radial dimensions are much smaller than the longitudinal dimensions. We start by writing the full equations of motion for an incompressible viscous fluid in cylindrical (axisymmetric) coordinates. The equations for the two components of momentum can be written ∂tur+ ur∂rur+ uz ∂zur=− 1 ρ ∂rp+ ν (

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تاریخ انتشار 2011