RECONSTRUCTION OF PRESSURE FIELDS IN FLOWS USING SYNTHETIC VELOCITY FIELDS OR OBTAINED WITH PARTICLE IMAGE VELOCIMETRY

• Grant number: 25/14790-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2025
• End date: April 30, 2026
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Agreement: BG E&P Brasil (Shell Group)
• Principal Investigator: Emílio Carlos Nelli Silva
• Grantee: Bernardo Luiz Harry Diniz Lemos
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Company: Universidade de São Paulo (USP). Escola Politécnica (EP)
• Associated research grant: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I, AP.PCPE

Abstract

Currently, one of the quantities of interest in Particle Image Velocimetry (PIV) applications is pressure. The reconstruction of the pressure field is based on two- and three-dimensional velocity distributions. In practice, measuring pressure at several points in a flow is a complex issue. First and foremost, metrological properties must be preserved throughout the measurements. Secondly, pressure sensors or transducers must not come into direct contact with the fluid so as not to interfere with the flow. PIV measurement emerges as an alternative to the limitations of sensors, extracting the instantaneous pressure field or volume using the Navier-Stokes equations or the Pressure Poisson Equation (PPE) in iterative computational post-processing methods. Both equations require well-defined boundary conditions for the problem, otherwise the methods may take excessive time or diverge. Furthermore, attention to the noise present in the measurements is required, which, despite all efforts to mitigate it, is still present. The out-of-plane motion of particles and solid objects, especially those who moves, are difficult to control due to their relationship with the three-dimensionality of the flow and spatial resolution, respectively. The aim of this work is to use the integral method, based on the Navier-Stokes equations, and the PPE method in synthetic flows to evaluate their robustness to noise and boundary conditions and then use them in PIV measurements, such as those carried out in the NDF (Núcleo de Dinâmica e Fluidos) and RCGI (Research Center for Greenhouse Gas Innovation) research groups. (AU)