TMS - The mathematics of weather and climate Dr Emily...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The mathematics of weather and climate Dr Emily Shuckburgh Equations of fluid flow I Cloud over a hill C(x,y,z,t). In steady state cloud doesnt change in time. Following a particle Lagrangian derivative C t ae fixed point in space = 0 C = dt C t + dx C x + dy C y + dz C z DC Dt = + Advection : ability of fluid to carry properties with it as it moves Equations of fluid flow II 5 key variables ( u,v,w ), p, T 5 eqns: Newtons 2nd (3 eqns), conserve mass (1 eqn), thermodynamics (1 eqn) Hydrostatic balance Ideal gas: ( R gas constant, T temperature) d xd ydz D u Dt = F fric + F gravity + F pressure- 1 r p- g z p / = g = = - p = -/ Equations of fluid flow III Conserve mass - mass changes if flux into volume: First law of thermodynamics gives: DQ/Dt comes from latent/radiative heating (note T, p dependency) DQ Dt = - 1 D + = 0 Effects of rotation...
View Full Document

This note was uploaded on 11/11/2011 for the course MATH 220 taught by Professor Kearn during the Fall '11 term at BYU.

Page1 / 27

TMS - The mathematics of weather and climate Dr Emily...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online