Can Turbulent Flow Be Predicted?

In summary, turbulent flow is a type of fluid motion characterized by chaotic and unpredictable changes in velocity and pressure. Due to its complex nature, turbulent flow has proven difficult to predict accurately. However, researchers have developed mathematical equations and models to better understand turbulent flow and make predictions, but these methods are limited in their accuracy and applicability to different situations. Overall, while there have been advancements in predicting turbulent flow, it remains a challenging and ongoing area of research.
  • #1
Tom.G
Science Advisor
Gold Member
5,239
4,058
TL;DR Summary
Batchelor’s law proven, Turbulent flow, fluid dynamics
Mathematical proofs that many turbulent flows can be predicted at least in a stochastic sense. Under the right conditions, it turns out that the flow lines and vortices pretty much follow a fractal law.

Popular version:
https://www.quantamagazine.org/mathematicians-prove-batchelors-law-of-turbulence-20200204/

The research papers:
https://arxiv.org/abs/1809.06484
https://arxiv.org/abs/1905.03869
https://arxiv.org/abs/1911.01561
https://arxiv.org/abs/1911.11014

edit: spelling
 
Last edited:
  • Like
Likes mfb and hilbert2
Mathematics news on Phys.org
  • #2
Is there a question?
 
  • #3
mathman said:
Is there a question?
Nope.
Just an announcement for the interested, seemed like the best-fit forum for it.
I don't mind if you can suggest a better spot for the Mentors to move it to.
 
  • #4
My recollection of fluid flow is that most of the equations are differenntial equations. That forum might be an alternative.
 

What is turbulent flow?

Turbulent flow is a type of fluid flow where the fluid particles move in an irregular, chaotic pattern, rather than in a smooth, orderly manner.

Why is turbulent flow important to study?

Turbulent flow is important to study because it occurs in many natural and man-made systems, such as in rivers, oceans, and pipes. Understanding turbulent flow can help us predict and control the behavior of these systems.

How is turbulent flow tamed?

Turbulent flow can be tamed through various methods, such as using flow control devices, changing the shape of objects in the flow, or adding turbulence-reducing additives to the fluid.

What are the benefits of taming turbulent flow?

Taming turbulent flow can lead to improved efficiency, reduced energy consumption, and increased safety in many applications. It can also help to reduce noise and vibrations caused by turbulent flow.

Are there any limitations to taming turbulent flow?

While turbulent flow can be tamed to some extent, it is a complex phenomenon and there are still limitations to our ability to fully control and predict it. Additionally, the methods used to tame turbulent flow may have their own limitations and may not be suitable for all situations.

Similar threads

Never-Repeating Tiles Can Safeguard Quantum Information
    • Computing and Technology
Replies
2
Views
365
Programs Universities for Research in Dynamical Systems of Fluids
    • STEM Academic Advising
Replies
4
Views
800
MHB Combination of field and particle methods for fluid dynamics
    • General Math
Replies
1
Views
2K
I Jupiter atmosphere, turbulence and ocean fluid dynamics
    • Astronomy and Astrophysics
Replies
1
Views
855
Predicting flow rates of a pressure driven system
    • Mechanical Engineering
Replies
8
Views
1K
I Work - Energy Principle Application to Fluid Flow
    • Classical Physics
2
Replies
48
Views
2K
I Power functional theory (PFT) vs traditional Dynamic DFT
    • Atomic and Condensed Matter
Replies
0
Views
1K
A Loophole-free test of local realism via Hardy's violation
    • Quantum Interpretations and Foundations
2
Replies
37
Views
1K
A Three generations of Fermions from octonions Clifford alegbras
    • Beyond the Standard Models
2
Replies
61
Views
6K
Connes Embedding Problem: MIP* = RE"
    • Programming and Computer Science
Replies
2
Views
756

Hot Threads

Recent Insights

Back
Top