The discussion centers on the application of Darcy's equation with Bingham's extension for modeling foam flow, which is classified as a Bingham plastic. Participants assert that while Darcy's equation can be utilized for foam flow, it is essential to recognize that foam behaves as a non-Newtonian fluid, making the Navier-Stokes equations unsuitable for this scenario. The conversation highlights the limitations of the Navier-Stokes equations in accurately describing the pressure drop-flow rate behavior of non-Newtonian fluids, specifically in the context of foam flow.
PREREQUISITESFluid dynamicists, chemical engineers, and researchers focused on non-Newtonian fluid behavior, particularly those working with foam applications in various industrial processes.
The Navier Stokes equations only apply to a Newtonian fluid. This fluid is non-Newtonian, so its pressure drop-flow rate behavior will be different. I have problems with this paper, particularly Eqns. 22 and 23, which are definitely incorrect.Talal said:According to the attached article, Foam is a Bingham plastic. Darcy's equation with Bingham's extension can be used to describe the flow. My question is, for foam flow, does utilising Darcy's equation a reasonable approach ? What benefits does it have, or better yet, why not use Navier stockes equation ? Also in the attached article foam is treated as a single phase.