Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations
Capillarity and Partially Saturated Porous Material Dynamics
Javed Siddique
Department of Mathematics, Pennsylvania State University, York Campus USA
Co-Author(s): Javed I. Siddique and Daniel M. Anderson
Abstract:
We explore the role of partial saturation and accompanying variations in permeability and capillary pressure in capillary rise dynamics into a rigid porous material. Experiments show a deviation from the classical Washburn model dynamics after early times and our aim in this work is to investigate this deviation. We use multiphase mixture theory for modeling to capture a single framework to understand the complex dynamics. We hope to compare the numerically computed results of our model to experimental data and other related literature.