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Topology optimization of viscoelastic rectifiers
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View: Figures


Image of FIG. 1.
FIG. 1.

Optimization setup with periodic velocity vector and conformation tensor at the inlet/outlet boundaries, where the pressure is fixed at either 0 or Δp depending on the flow configuration ( or ). There is no tangential stress at the inlet/outlet boundaries and only pressure contributes to the normal stress. The no slip boundary condition is imposed on the top and bottom boundaries, and the design variable is defined in the central rectangle only.

Image of FIG. 2.
FIG. 2.

The filtered design variable is plotted together with streamlines for optimizations without (a) and with (b) symmetry. Both the dumbbell extension (c)–(d) and the velocity magnitude (e)–(f) are shown in the symmetric case for the two flow directions together with a contour of the projected design variable in blue. The working mechanism is illustrated by plotting the dumbbell extension and velocity magnitude through a cross section connecting the contractions (g).

Image of FIG. 3.
FIG. 3.

Two designs are characterized in terms of their flow rate ratio as a function of the Weissenberg number for different number of degrees of freedom (DOF). Effective Weissenberg numbers Weeff are calculated as , where L cont is the width of the contractions.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Topology optimization of viscoelastic rectifiers