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.
The Darcy equation describes the flow of a single fluid through a porous medium, while the NS equation is a more complex equation that takes into account the flow of multiple fluids through a porous medium, such as in foam flow.
The NS equation is generally considered to be more accurate for modeling foam flow, as it takes into account the interactions between the different fluids and the porous medium. However, the Darcy equation is still commonly used due to its simplicity.
Yes, the Darcy equation can be used to model foam flow, but it may not be as accurate as the NS equation. It is often used as a simplified model for foam flow or in cases where the interactions between the different fluids are not significant.
The Darcy equation assumes that the flow is incompressible and the fluid is single phase, which may not be accurate for foam flow. It also does not take into account the interactions between the different fluids and the porous medium, which can have a significant impact on the flow behavior.
The Darcy equation typically uses a no-slip boundary condition, where the fluid velocity at the boundary is assumed to be zero. The NS equation allows for slip at the boundary, meaning that the fluid velocity at the boundary can be non-zero. This can have a significant impact on the flow behavior in foam flow.