A Study on Topological Vortex Ring Interactions Based on...

Iscriviti

Registrati

Iscriviti

Cerca

Theme Switcher

Night Mode

A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (3)

Blogs Literature

Posted 2025-10-29 01:30:19

1K

4. Superposition of Counter-rotating Vortex Rings and Knot Formation

The situation is radically different when two vortex rings with opposite circulation directions (counter-rotating) interact:

(1) Topological Description: Can be seen as the superposition of a positive Hopf link and a negative Hopf link. The total topological charge (net circulation) of the system is zero.

(2) Dynamical Process and Knots:

a. Vortex Reconnection: This is the most critical process. When the two rings approach, vortex lines break and reconnect. Topologically, this corresponds to a Surgery operation.

b. Knot Generation: After reconnection, the originally simple rings can evolve into a complex Knot structure. For example, the famous "trefoil knot" is often observed in experiments involving colliding counter-rotating vortex rings. This process converts the system's energy from translational kinetic energy into energy localized in twisting and coiling.[4,9]

c. Annihilation: In some cases, after reconnection, the formed small rings dissipate energy through means such as radiating sound waves, eventually leading to the complete annihilation of the two opposite topological charges, returning the system to a trivial state.[9]

(3) Manifestation of Möbius Property: During the reconnection process, the Twist (Tw) of the vortex core plays a crucial role. A vortex core with high Tw, akin to having an intrinsic "chirality," influences the location and manner of reconnection, thereby determining the type of knot ultimately produced. A twisted vortex ring (Möbius loop) exhibits far more complex topological behavior when interacting with a counter-rotating ring than an untwisted ring does.

1

Effettua l'accesso per mettere mi piace, condividere e commentare!

Altre informazioni

想在泰国罗勇找公司

想在罗勇找一家可以代理注册公司的公司，如果你的公司有此业务，欢迎留下联系方式！

By 2025-09-06 08:34:41 0 2K

Crafting Excellence: The Art & Science Behind Our Premium Spirits Bottle Manufacturing

For spirits—whether it’s smooth whiskey, crisp gin, or luxurious brandy—the...

By 2025-10-31 03:05:13 0 1K

A Funny Official History of Contemporary Physics (Volume One: Dreams)

The warm sun shone over the land of North America. PRL, wearing gold-rimmed reading glasses,...

By 2025-10-16 01:28:34 1 1K

奢華保養新標竿：創世紀原晶逆時金萃揭開肌膚年輕密碼

在追求極致抗老與肌膚修護的保養旅程中，創世紀原晶逆時金萃無疑成為眾多保養迷眼中的夢幻逸品。這款來自海洋奢華護膚權威 La Mer 的頂級精華，以珍稀原晶活萃為核心成分，搭配品牌靈魂成分...

By 2025-05-29 01:52:18 0 3K

Altre informazioni

国产用于单导联和六导联的心电算法及API服务

随着心电图应用的逐步推广，智能手表、体脂仪、跑步机等智能设备都逐渐加入心电图功能。心电图作为诊断心脏问题的金标准数据，具备很大的健康监测价值。苹果、欧姆龙等厂商都已经加入。但是心电图的分析算法相...

By 2025-07-21 12:35:30 0 2K