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 the Winkler 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.
Backflow Dynamics of Newtonian Fluids in an Elastic Fracture with Slip Walls / Zeighami, Farhad; Lenci, Alessandro; Longo, Sandro Giovanni; Di Federico, Vittorio. - In: ENVIRONMENTAL SCIENCES PROCEEDINGS. - ISSN 2673-4931. - 21:1(2022), p. 45.1. [10.3390/environsciproc2022021045]
Backflow Dynamics of Newtonian Fluids in an Elastic Fracture with Slip Walls
Sandro Longo;
2022-01-01
Abstract
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 the Winkler 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
