In the field of nanofluidics, the fluid-structure interaction is a crucial consideration. In this work, we have developed the current fluid-structure interaction models in two different areas. In the first part, we have studied the fluid flow through single-walled carbon nanotubes. The nonlinear Donnell shallow shell formulations are further developed to model nonlocal effects in the nanotube. Moreover, a bi-viscosity mathematical model is used to consider the effect of the depletion layer near the wall on the structure stability of single walled carbon nanotubes (SWCNTs). Simulation results reveal non-stabilizing behavior of nonlocal effects which attenuates with an increase in the tube radius. Moreover, the results show that viscosity has an enormous stabilization effect for 40 nm diameter SWCNTs but it could be ignored for 3.5 nm diameter SWCNTs. In the second part, we deal with the aging model of lithium ion batteries. For the first time, the variation of solid electrolyte interface (SEI) across the depth of anode is modeled. It is anticipated that a more critical condition prevails at the electrode side connected to the separator. The present work also investigates the effects of variations in the morphological parameters across anode electrode and electrolyte parameters on the uniformity of side reaction. Keywords: Fluid Structure Interaction; Carbon Nanotube; Depletion Layer; Nonlocal; Lithium ion battery; Aging.
