Foam Flow: Darcy vs NS Equation

  • Thread starter Thread starter Talal
  • Start date Start date
AI Thread Summary
Foam is identified as a Bingham plastic, and Darcy's equation with Bingham's extension is proposed for modeling its flow. The discussion questions the appropriateness of using Darcy's equation for foam flow compared to the Navier-Stokes equations, which are limited to Newtonian fluids. Concerns are raised about the accuracy of certain equations in the referenced article, suggesting potential flaws in the analysis. The unique pressure drop-flow rate behavior of non-Newtonian fluids like foam complicates the application of traditional fluid dynamics equations. Overall, the suitability of Darcy's equation for foam flow remains debated, highlighting the complexities of modeling non-Newtonian fluids.
Talal
Messages
6
Reaction score
4
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.
 

Attachments

Engineering news on Phys.org
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 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.
 
  • Like
Likes Talal
Thank you very much for your answer.
 
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
View full post »

Thread 'Cantilever help'

I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
View full post »

Similar threads

Relationship between flow and pressure in a valve
Replies
5
Views
2K
Underground pump vault airflow considerations
Replies
15
Views
3K
A Why do the Navier-Stokes equations give us non-existent results for 3D flow?
Replies
9
Views
3K
Modelling of two phase flow in packed bed using conservation equations
10
Replies
454
Views
26K
A Why are the Navier-Stokes equations inconsistent in this case?
Replies
18
Views
2K
Dimensional Analysis of Flux Equation for cross filtration
Replies
1
Views
1K
How Thick Can Acrylic Latex Be Applied on a Vertical Surface Before It Runs?
Replies
9
Views
7K
Surface roughness in 2D sinusoidal corrugation
Replies
1
Views
4K
How Do Viscous Interactions Differ in Vertical and Horizontal Geometries?
Replies
31
Views
3K
I Navier-Stokes equation in a triangular coordinate system
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top