March 31, 2023
Journal Article

Learning Unknown Physics of non-Newtonian Fluids

Abstract

We use physics-informed neural networks (PINNs) to learn viscosity models of two non-Newtonian systems (polymer melts and suspensions of particles) using only velocity measurements. For synthetic velocity data generated with the power-law viscosity model, the PINN-inferred viscosity model agrees with the analytical model for shear rates with large absolute values but deviates for shear rates near zero where the analytical model has an unphysical singularity. Once the viscosity model is learned the PINN method can solve the momentum conservation equation using only the boundary conditions.

Published: March 31, 2023

Citation

Reyes B.C., A.A. Howard, P. Perdikaris, and A.M. Tartakovsky. 2021. Learning Unknown Physics of non-Newtonian Fluids. Physical Review Fluids 6, no. 7:Art. No. 073301. PNNL-SA-155554. doi:10.1103/PhysRevFluids.6.073301