Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 345 / 3 / a

Table of contents
- Solution a

Solution

Taking the curl of the Boussinesq momentum equation and using incompressibility gives the vorticity equation

\partial_{t} ω + (u \cdot \nabla) ω = (ω \cdot \nabla) u + \nabla (\frac{ρ ^{'}}{ρ _{0}}) \times g + ν \nabla^{2} ω .

The second term on the right is baroclinic vorticity generation. It is nonzero where a horizontal density gradient crosses the vertical gravitational acceleration.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version