- In an ideal (inviscid) fluid, lines of vorticity can never cross, and so the topology of vortex loops is preserved: knots stay knotted, and linked rings stay linked.Author: Dustin Kleckner, William T. M. IrvinePublish Year: 2013www.nature.com/articles/nphys2560
- 其他用户还问了以下问题
7.2: Vortex dynamics in a homogeneous, inviscid fluid
2022年7月23日 · Learn how vorticity and vortex filaments evolve in ideal fluid flow, with examples and diagrams. Explore the concepts of vortex stretching, vortex tube, and vortex sheet.
- 预计阅读时间：8 分钟
仅显示来自 eng.libretexts.org 的搜索结果Introduction
No headers Figure \(\PageIndex{1}\): A toroidal vortex, created in an eruption of …
Inviscid flow - Wikipedia
In a 1757 publication, Leonhard Euler described a set of equations governing inviscid flow:
Assuming inviscid flow allows the Euler equation to be applied to flows in which viscous forces are insignificant. Some examples include flow around an airplane wing, upstream flow around bridge supports in a river, and ocean currents.Wikipedia · CC-BY-SA 许可下的文字- Suppose that in the equations of vorticity under the hypothesis that the external forces derive from a potential, which means in we set then we get For a barotropic fluid (obviously for an incompressible fluid too) be-cause and taking into account the equation of conti-nuity, it turns out that so that we obtain Similarly, from we get such that, for...
Creation and dynamics of knotted vortices | Nature Physics
2013年3月3日 · In an ideal (inviscid) fluid, lines of vorticity can never cross, and so the topology of vortex loops is preserved: knots stay knotted, and linked rings stay linked.
Incompressible inviscid flow - Book chapter - IOPscience
A vortex line is a line whose tangent is everywhere parallel to the local vorticity vector. The vortex lines drawn through each point of a closed curve constitute the surface of a vortex tube. …
Vorticity and Circulation | Advanced Fluid Mechanics | Mechanical ...
Learn about vorticity dynamics, Kelvin's circulation theorem, Helmholtz's vortex theorems, and vorticity equation in a nonrotating frame. See readings, class notes, videos, and problems with …
On Chaplygin's investigations of two-dimensional vortex …
2006年4月26日 · This paper describes exact solutions of two-dimensional vortex structures that were published by Chaplygin (1899, 1903) at the turn of the last century, which seem to have …
Inviscid Boundary Conditions (Chapter 4) - Vortex Methods
Vortex methods were initially conceived as a tool to simulate the inviscid dynamics of vortical flows. The vorticity carried by the fluid elements is conserved in inviscid flows and simulating …
The Kelvin–Helmholtz Instability - SpringerLink
2020年3月18日 · Learn about the most significant fluid instability, the Kelvin–Helmholtz instability, that occurs in shear flows and leads to vortex formation and mixing. The chapter covers the …
8 - Interacting vortex pairs in inviscid and viscous planar flows
2012年11月5日 · These solutions are stationary in a uniformly rotating or translating frame, and converge either to a single vortex or to a vortex pair as the size parameter ∈ goes to zero.
- 某些结果已被删除