2007
DOI: 10.1016/j.compfluid.2006.08.007
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Numerical simulation of fluid added mass effect on a francis turbine runner

Abstract: In this paper, a numerical simulation to analyze the influence of the surrounding water in a turbine runner has been carried out using finite element method (FEM). First, the sensitivity of the FEM model on the element shape and mesh density has been analysed. Secondly, with the optimized FEM model, the modal behaviour with the runner vibrating in air and in water has been calculated. The added mass effect by comparing the natural frequencies and mode shapes in both cases has been determined.The numerical resu… Show more

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Cited by 109 publications
(92 citation statements)
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“…One can see that both damping and polar inertia increases for off-nominal speed and with frequency. Recent research by Liang et al [18], and Rodriguez et al [19] has…”
Section: Discussionmentioning
confidence: 99%
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“…One can see that both damping and polar inertia increases for off-nominal speed and with frequency. Recent research by Liang et al [18], and Rodriguez et al [19] has…”
Section: Discussionmentioning
confidence: 99%
“…The polar inertia of the mechanical system is J P = 1.57 Nms 2 , the damping is C = 0 Nms, and the stiffness is K = 49000 Nm. In Figure 7 the reduced eigenfrequencies (18) and in Figure 8 the damping ratio (19) due to the flow for such a fluid-mechanical system are presented and the influence of the different coefficients is illustrated. Relative torque (Nm/rad) Figure 4: Identification of the coefficients of (17), together with a curve-fitted function (rotational speed is 52 rad/s).…”
Section: Resultsmentioning
confidence: 99%
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“…Given the previous experience with the sensitivity of the element shape, the mesh density and the effects of the added mass of water [6][7][8][9], the runner was modeled with 680,772 elements and 856,551 nodes. To consider the effect of the water, the runner was surrounded by the fluid domain.…”
Section: Dynamics Of the Runner Structurementioning
confidence: 99%
“…From the equation [3], the nodal diameter equals to the harmonic index in only some cases, and the solution of a given harmonic index may contain more than one mode with differe nt nodal diameters.…”
Section: Introductionmentioning
confidence: 99%