2024 AIChE Annual Meeting

(256g) Revisiting Brenner's Stokes Resistance of a Deformed Sphere

Authors

Amir Nourhani - Presenter, The Pennsylvania State University
Mohammad Nabil, University of Akron
We revisit Brenner's classic 1964 study on the Stokes resistance of slightly deformed spheres. Brenner's technique, involving asymptotic expansion, solves Stokes fluid flow around these shapes using two mapping steps: initially mapping surface velocity of a deformed sphere to that of a reference sphere, and then applying Lamb's general solution for any point in the fluid. Expanding on this, we employ a spectral method for axisymmetric Stokes flow, developing a method to address large deformations using multiple orders of perturbation.