Session: 12-03-01: Minisymposium on Peridynamic Modeling of Materials’ Behavior

Paper Number: 77516

Start Time: Monday, 12:25 PM

77516 - Peridynamic Modeling of Flow-Accelerated Corrosion 

Flow-accelerated corrosion is present in a variety of fields such as environmental and electrochemical engineering. Classical models describe this type of problems using partial differential equations (PDEs), which makes it difficult to handle the evolution of material damage and discontinuities in general. The peridynamic (PD) theory is a nonlocal extension of the classical continuum mechanics, which employs integro-differential equations (IDEs) instead of PDEs. In PD formulations, material damage evolves naturally and autonomously. While the PD theory has been used to deal with a variety of mechanical and diffusion-type problems involving cracks and damage, formulations and applications to fluid mechanics are very few. We propose a coupled model for modeling fluid flow and corrosion, which would contribute significantly to the study of fluid-solid interaction problems involving material damage, erosion and dissolution.

In this work, we first introduce a new PD Navier-Stokes model for incompressible fluid flow. This model is derived from fundamental conservation principles. We verify the model for Couette and Poiseuille flows, and fluid flow past a regular lattice of cylinders at low Reynolds numbers. A coupled model between the PD Navier-Stokes formulation and PD diffusion-advection and corrosion models is then used to predict flow-accelerated corrosion. Results from the new model are compared with experimental observations.

Acknowledgements: This work has been supported by NSF CDS&E-CMMI grant No. 1953346. This work was completed utilizing the Holland Computing Center of the University of Nebraska, which receives support from the Nebraska Research Initiative.

References:

[1] F. Bobaru, M. Duangpanya, The peridynamic formulation for transient heat conduction, Int. J. Heat Mass Transf. 53 (2010) 4047–4059. https://doi.org/10.1016/j.ijheatmasstransfer.2010.05.024.

[2] J. Zhao, Z. Chen, J. Mehrmashhadi, F. Bobaru, Construction of a peridynamic model for transient advection-diffusion problems, Int. J. Heat Mass Transf. 126 (2018) 1253–1266. https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.075.

[3] Z. Chen, F. Bobaru, Peridynamic modeling of pitting corrosion damage, J. Mech. Phys. Solids. 78 (2015) 352–381. https://doi.org/10.1016/j.jmps.2015.02.015.

[4] S. Jafarzadeh, Z. Chen, J. Zhao, F. Bobaru, Pitting, lacy covers, and pit merger in stainless steel: 3D peridynamic models, Corros. Sci. 150 (2019) 17–31. https://doi.org/10.1016/j.corsci.2019.01.006.

[5] A.J. Chorin, J.E. Marsden, A Mathematical Introduction to Fluid Mechanics, Springer New York, New York, NY, 1993. https://doi.org/10.1007/978-1-4612-0883-9.

[6] J.P. Morris, P.J. Fox, Y. Zhu, Modeling low Reynolds number incompressible flows using SPH, J. Comput. Phys. 136 (1997) 214–226. https://doi.org/10.1006/jcph.1997.5776.

[7] Y. Xu, M.Y. Tan, Probing the initiation and propagation processes of flow accelerated corrosion and erosion corrosion under simulated turbulent flow conditions, Corros. Sci. 151 (2019) 163–174. https://doi.org/10.1016/j.corsci.2019.01.028.

Presenting Author: Jiangming Zhao University of Nebraska-Lincoln

Authors:

Jiangming Zhao University of Nebraska-Lincoln
Florin Bobaru University of Nebraska-Lincoln