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EPTT 2024

14th Spring School on Transition and Turbulence

PRESSURE FIELD IN A CENTRIFUGAL PUMP COMPUTED FROM PARTICLE IMAGE VELOCIMETRY

Submission Author: William Denner Pires Fonseca , SP
Co-Authors: Rafael Franklin Lazaro de Cerqueira, William Denner Pires Fonseca, Rodolfo Perissinotto, William Monte Verde, Erick de Moraes Franklin, Marcelo Souza de Castro
Presenter: Rodolfo Perissinotto

doi://10.26678/ABCM.EPTT2024.EPT24-0002

 

Abstract

This paper presents an assessment study of the pressure field estimation from planar Particle Image Velocimetry (PIV) velocity fields. The method adopted to perform this task is based on the solution of Poisson equations for pressure, which are more adequate for complex geometries than the direct integration of pressure gradients. When dealing with Poisson equations, the application of boundary conditions is simpler, requiring only the implementation of a numerical method to solve the elliptic partial differential equation. For this class of PIV-based pressure estimator, some methods were proposed for the source term calculation in the past decades, including the modification of spatial derivative calculations, the inclusion of additional terms to account for out-of-plane velocities, and the filtering/smoothing of velocity fields. In this context, this work presents an study of different pressure Poisson-based estimator methodologies from PIV velocity measurements, including alternatives for the source term calculation and the effect of filtering/smoothing the instantaneous fields. These velocity fields are obtained using an experimental setup equipped with a time-resolved PIV system that perform measurements in a transparent centrifugal pump. Direct pressure measurements are also carried out in the pump prototype, using pressure transducers installed at different ports placed throughout the volute geometry. Thus, the pressure values from PIV fields are compared against the time-averaged values of the pressure measured by the sensors. Our results reveal that the PIV-based pressure estimator presents a satisfactory agreement with the transducer pressure values, being able to capture transient effects as well. The pressure fields in the pump also follow Computational Fluid Dynamics (CFD) results from the literature, which demonstrates that the PIV-based pressure solver can produce reliable results.

Keywords

Particle image velocimetry, pressure field, centrifugal pump

 

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