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Towards Development of a Transfer Function between Flow Rate and Pressure Gradient for Turbulent Pulsating Pipe Flow

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1800
pages 1762-1769

Eric Werzner
Institute of Thermal Engineering, Technische Universitat Bergakademie Freiberg, Gustav-Zeuner-Str. 7, 09596 Freiberg, Germany

Subhashis Ray
Institute of Thermal Engineering, Technische Universitat Bergakademie Freiberg, Gustav-Zeuner-Strasse 7, D-09596 Freiberg, Germany

Dimosthenis Trimis
Institute of Thermal Engineering, Technische Universitat Bergakademie Freiberg, Gustav-Zeuner-Strasse 7, D-09596 Freiberg, Germany; Engler-Bunte-Institute Division of Combustion Technology, Karlsruhe Institute of Technology, Engler-Bunte-Ring 1, D-76131


The present study has been carried out in the context of the development of a measurement method for turbulent, fully-developed, low-amplitude, time-periodic pipe flows. Earlier investigations for laminar flow have shown that this method allows the reconstruction of the instantaneous flow rate from a recorded pressure gradient history by utilizing the knowledge of the frequency-dependent relationship between the mass flow rate and the pressure gradient. In order to facilitate the implementation of the measurement technique into a flow meter for turbulent pulsating pipe flows, the main objective of the present research effort is to approximate the aforementioned relationship with a simple, yet very general, mathematical expression in the form of a typical transfer function. In this paper, two correlations are proposed; one such expression has been theoretically derived, based on the assumption of quasi-steady flow, while using data from the numerical simulations for turbulent sinusoidally-pulsating pipe flows, a second expression has been also proposed.

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