1
$\begingroup$

I was wondering if there is a specific branch of mathematics that is used to describe fluid motion? I know that calculus is used to describe rates of change in fluid motion (i.e. how fast a container will fill up or empty). But what other phenomena of fluid motion can we explain? Some of the other things I can think of are fluid pressure and the way fluids will over a surface or container. What else am I missing?

Improve this question
$\endgroup$
2
  • 1
    $\begingroup$ Fluid dynamics, hydrodynamics, vortices, hurricanes, plenty more. The math is like everything else lots of things, starting from differential equations. $\endgroup$
    – Bob Bee
    Commented Sep 24, 2016 at 2:37
  • $\begingroup$ @BobBee are there any differences between fluid dynamics, hydrodynamics and aerodynamics? $\endgroup$
    – Ooker
    Commented Sep 6, 2017 at 12:46

1 Answer 1

Reset to default
3
$\begingroup$

The Navier-Stokes equations and the diffusion equation are the main equations in fluid dynamics. They are partial differential equations derived from the branch of math called vector calculus.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.