Abstract

Twisted tubes are important in generating secondary flow and fluid mixing in a cross-stream direction. In the present paper, the fully developed laminar fluid flow through twisted elliptic tubes is numerically analyzed up to a large twist ratio by using the finite difference method. The elliptic solution domain is transformed to a rectangular computational domain by using a new, simple, and analytic transformation containing a removable singularity. The effect of the two parameters, the tube twist ratio and the aspect ratio of the ellipse, is investigated with respect to their role in determining the axial and circumferential velocities, the streamline patterns, and the resistance coefficients.

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