Investigation of laminar flow in a helical pipe filled with a fluid-saturated porous medium.

*(English)*Zbl 1060.76114Summary: Laminar flow in a helical pipe filled with a fluid saturated porous medium is investigated numerically. The analysis is based on a full momentum equation for the flow in porous media that accounts for Brinkman and Forchheimer extensions of Darcy law as well as for the flow inertia. Accounting for the flow inertia is shown to be important for predicting secondary flow in a helical pipe. The effects of Darcy number, of Forchheimer coefficient as well as of the curvature and torsion of the helical pipe on axial flow velocity and secondary flow are investigated numerically.

##### MSC:

76S05 | Flows in porous media; filtration; seepage |

76M12 | Finite volume methods applied to problems in fluid mechanics |

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\textit{L. Cheng} and \textit{A. V. Kuznetsov}, Eur. J. Mech., B, Fluids 24, No. 3, 338--352 (2005; Zbl 1060.76114)

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##### References:

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