Backflow Dynamics of Newtonian Fluids in an Elastic Fracture with Slip Walls

This study investigates the backflow of a Newtonian fluid in a two-dimensional flat-walled fracture with Navier slip boundary conditions. The fracture has a uniform aperture and two rigid pre-strained plates as walls; their elastic deformations are described by theWinkler model. Under the lubrication assumption, the governing nonlinear ordinary differential equation and the timedependent velocity profile are derived; in turn, this yields the time and space evolution of the pressure distribution inside the fracture, numerically. In addition, the condition when the external pressure becomes zero, is discussed, and a parametric study is performed to highlight the influence of the slip length.