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The importance of fluid-elastic forces in tube bundle vibrations can hardlybe over-emphasized, in view of their damaging potential. In the last decades,advanced models for representing fluid-elastic coupling have therefore beendeveloped by the community of the domain. Those models are nowadays embedded inthe methodologies that are used on a regular basis by both steam generatorsproviders and operators, in order to prevent the risk of a tube failure withadequate safety margins. From an R&D point of view however, the need stillremains for more advanced models of fluid-elastic coupling, in order to fullydecipher the physics underlying the observed phenomena. As a consequence, newexperimental flow-coupling coefficients are also required to specifically feedand validate those more sophisticated models. Recent experiments performed atCEA-Saclay suggest that the fluid stiffness and damping coefficients depend onfurther dimensionless parameters beyond the reduced velocity.  In this work, the problem of data reduction is first revisited, in the lightof dimensional analysis. For single-phase flows, it is underlined that theflow-coupling coefficients depend at least on two dimensionless parameters,namely the Reynolds number $Re$ and the Stokes number $Sk$. Therefore, reducingthe experimental data in terms of the compound dimensionless quantity$V_r=Re/Sk$ necessarily leads to impoverish results, hence the data dispersion.In a second step, experimental data are presented using the dimensionlessnumbers $Re$ and $Sk$. We report experiments, for a 3x5 square tube bundlesubjected to water transverse flow. The bundle is rigid, except for the centraltube which is mounted on a flexible suspension allowing for translation motionsin the lift direction.

Fluid-elastic coefficients in single phase cross flow: dimensional analysis, direct and indirect experimental methods