Question

Why is $\oint_{C_{r_{0}}} \mathbf{v} \cdot \mathbf{r}' \mathrm ds$ called the circulation of the flow around $C_{r_{0}}$?

score 315 · Answer 1 · 2026-03-22 08:47:25

315

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Why is $\oint_{C_{r_{0}}} \mathbf{v} \cdot \mathbf{r}' \mathrm ds$ called the circulation of the flow around $C_{r_{0}}$?

Published on 22 Mar 2026 - 8:47

score 235 · Answer 2 · 2026-03-21 17:15:12

235

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How to find $\vec{v}$ if I know $\vec{\nabla}\times\vec{v}$ and $\vec{\nabla}\cdot\vec{v}$?

Published on 21 Mar 2026 - 17:15

score 1.2k · Answer 3 · 2026-03-22 09:37:57

1.2k

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Curl of gradient is not zero

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score 1.5k · Answer 4 · 2026-03-14 21:48:20

1.5k

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Published on 14 Mar 2026 - 21:48

score 3.6k · Answer 5 · 2026-03-22 15:24:06

3.6k

Views

Curl of a Curl of a Vector field Question

Published on 22 Mar 2026 - 15:24

score 160 · Answer 6 · 2026-03-22 14:18:44

160

Views

Is this animation of the right hand rule for curl correct?

Published on 22 Mar 2026 - 14:18

score 101 · Answer 7 · 2026-03-22 15:24:18

101

Views

Curl of $({\bf b}\cdot{\bf r}){\bf b}$?

Published on 22 Mar 2026 - 15:24

score 442 · Answer 8 · 2026-03-22 06:17:44

442

Views

Rotation of a curl?

Published on 22 Mar 2026 - 6:17

score 242 · Answer 9 · 2026-03-21 21:18:04

242

Views

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Published on 21 Mar 2026 - 21:18

score 879 · Answer 10 · 2026-03-21 16:43:53

879

Views

Curl and Conservative relationship specifically for the unit radial vector field

Published on 21 Mar 2026 - 16:43

score 1.8k · Answer 11 · 2026-03-24 11:30:20

1.8k

Views

Inverse-Square vector fields have both a divergence and curl of $0$?

Published on 24 Mar 2026 - 11:30

score 41 · Answer 12 · 2026-03-21 16:10:34

41

Views

Volume Loss Rate

Published on 21 Mar 2026 - 16:10

score 476 · Answer 13 · 2026-03-14 14:42:11

476

Views

Does Helmholtz Decomposition make sense for $\hat{r}/r^2$?

Published on 14 Mar 2026 - 14:42

score 157 · Answer 14 · 2026-03-24 22:06:32

157

Views

Curl And Potential

Published on 24 Mar 2026 - 22:06

score 274 · Answer 15 · 2026-03-14 23:53:11

274

Views

Finding vector differential operators with arbitrary coordinates using differential forms

Published on 14 Mar 2026 - 23:53

List Question

Why is $\oint_{C_{r_{0}}} \mathbf{v} \cdot \mathbf{r}' \mathrm ds$ called the circulation of the flow around $C_{r_{0}}$?

How to find $\vec{v}$ if I know $\vec{\nabla}\times\vec{v}$ and $\vec{\nabla}\cdot\vec{v}$?

Curl of gradient is not zero

What are the Effects of Applying the $\nabla$ Operator to a Scalar Field?

Curl of a Curl of a Vector field Question

Is this animation of the right hand rule for curl correct?

Curl of $({\bf b}\cdot{\bf r}){\bf b}$?

Rotation of a curl?

How can one get rid of a scalar potential, and find the corresponding vector potential?

Curl and Conservative relationship specifically for the unit radial vector field

Inverse-Square vector fields have both a divergence and curl of $0$?

Volume Loss Rate

Does Helmholtz Decomposition make sense for $\hat{r}/r^2$?

Curl And Potential

Finding vector differential operators with arbitrary coordinates using differential forms

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