Long-term impact of nonlinear pore dynamics on species and thermal transport under temporally periodic far-field forcing

Predicting the fluid, thermal, and species transport in an evolving complex network of pores requires a fundamental description of the transport processes and their coupling to the underlying reaction chemistry. To better understand these processes at different spatial and temporal scales, we focus on the transport dynamics in a single slender pore, where aqueous reactions occur on shorter time scales than pore surface reactions, and derive an axisymmetric model that captures the effects of advection, diffusion, surface reaction and pore evolution in the Stokes flow limit. We explore the reaction landscape for several examples of carbonaceous chemical reactions as a function of temperature and species concentration near reaction equilibrium under different steady and time-periodic scenarios, in order to understand the long-time effect on net thermal and species transport. The results of this work will form the foundation for adaptations for dynamic pore network models (PNM).