Particles, Polymers and Compliant Boundaries at the Intersection of Fluid Mechanics and Soft Matter
|Interdisciplinary Areas:||Engineering-Medicine, Micro-, Nano-, and Quantum Engineering
The proposed direction for a Gilbreth Fellow under the supervision of Profs. Christov and Narsimhan lies at the intersection of fluid mechanics and soft matter physics. We are broadly interested in problems involving particle motion and transport (from the single-particle scale to the continuum scale of a suspension), the effect of carrier (such as a polymeric fluid), and the deformation of flow boundaries (such as elastic walls, or interfaces endowed with surface tension). The Fellow and mentors will leverage theoretical approaches (including classical methods in Stokes flows, lubrication theory, asymptotic and perturbation techniques) with advanced computational (including Brownian dynamics, boundary element methods, two-fluid modeling, and physics-informed machine learning).
Vivek Narsimhan, Michael and Carolyn Ott Assistant Professor, Davidson School of Chemical Engineering, Purdue University, https://viveknarsimhan.wixsite.com/website
2. Daihui Lu and Ivan C. Christov, “Physics-informed neural networks for understanding shear migration of particles in viscous flow,” International Journal of Multiphase Flow 165 (2023) 104476, doi:10.1016/j.ijmultiphaseflow.2023.104476; preprint arXiv:2111.04684.
3. Lionel Bureau, Gwennou Coupier, Thomas Salez, “Lift at low Reynolds number,” preprint arXiv:2207.04538.
4. C. Tai and V. Narsimhan, “Experimental and theoretical studies of cross-stream migration of non-spherical particles in a quadratic flow of viscoelastic fluid,” Soft Matter 24 (2022) 4495–4644, doi:10.1039/D2SM00011C
5. H. Zhao, E.S.G. Shaqfeh, and V. Narsimhan, “Shear-induced particle migration and margination in a cellular suspension,” Physics of Fluids 24 (2012) 011902, doi:10.1063/1.3677935