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

Acessar

Entrar

Cadastrar

Pesquisar

Theme Switcher

Night Mode

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

Blogs Literature

Postado 2025-10-29 01:30:19

936

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

Faça o login para curtir, compartilhar e comentar!

Flash Stripping Machine | Metal Shielding Mesh | Thermocouple Wires | New Energy Cable Harnesses

Thermocouple Plant Equipment Manufacture

Por 2025-10-16 03:41:24 0 963

สัมผัสรสชาติหัวพอต RELX จากเครื่องรุ่นใหม่ล่าสุด

ในยุคที่เทรนด์สุขภาพมาแรง บุหรี่ไฟฟ้า...

Por 2025-08-29 02:59:24 0 2KB

สำรวจโลกของ RELX: พอตไฟฟ้าอัจฉริยะที่ตอบโจทย์ทุกไลฟ์สไตล์

ในยุคที่เทคโนโลยีเข้ามามีบทบาทในทุกด้านของชีวิตประจำวัน...

Por 2025-07-16 01:34:13 0 2KB

RELX 6代電子菸全面升級，帶你進入新世代霧化體驗

隨著電子霧化科技不斷演進，RELX...

Por 2025-07-08 01:59:15 0 2KB

รีวิวเครื่อง RELX รุ่น 6 และหัวน้ำยาโดยละเอียด

ปัจจุบันการ ซื้อบุหรี่ไฟฟ้าออนไลน์ เป็นช่องทางที่ได้รับความนิยมอย่างมากเนื่องจากความสะด...

Por 2025-09-25 01:19:40 0 1KB