Researcher ORCID Identifier
0009-0001-7725-4549
Graduation Year
2023
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Ali Nadim
Reader 2
Maria K. Cameron
Terms of Use & License Information
Rights Information
2023 Kausik Das
Abstract
We explore spherical Janus particles in which a chemical reaction occurs on one face, depleting a substrate in the suspending fluid, while no reaction occurs on the other face. The steady state concentration field is governed by Laplace’s equation with mixed boundary conditions. We use the collocation method to obtain numerical solutions to the equation in spherical coordinates. The asymmetry of the reaction gives rise to a slip velocity that causes the particle to move spontaneously in the fluid through a process known as self-diffusiophoresis. Using the Lorentz reciprocal theorem, we obtain the swimming velocity of the particle. We extend the results to Janus particles with arbitrary surface coverage, maximizing the swimming velocity as a function of the size of the reaction site.
Recommended Citation
Das, Kausik, "Modeling self-diffusiophoretic Janus particles in fluid" (2023). HMC Senior Theses. 272.
https://scholarship.claremont.edu/hmc_theses/272
