Abstract

The Dean problem of steady viscous flow through a coiled circular pipe is studied numerically. We compute the structure of the symmetric families of the flows that exist as the crucial parameterDvaries, which is in accordance with those stated in Yang and Keller (Appl. Numer. Math.2, 257, 1986). Furthermore, we find a asymmetric flow emanating from the symmetry-breaking bifurcation point, which they could not find since they restricted the numerical study on the flows symmetric about thex-axis.

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