Homework 3: Solutions GFD I Winter 2007
1.a. Given: < 1 U Ro = L < 1 low Mach number characteristic density oo = [] Define = o (z) + (x, t), p = po (z) + p (x, t) such that o and po are in hydrostatic balance. Let
t H L
=
1 T
=
U L
Assume [ ] < oo W =UH

Homework 2: Solutions GFD I Winter 2007
1.a. Part One The goal is to find the height that the free surface at the edge of a spinning beaker rises from its resting position. The first step of this process is to find an expression for the free surface heigh

Homework 1: Solutions GFD I Winter 2007
1.a. Mixing equal masses of parcels A and B gives S = 29.5 ppt and T = 16 . Assuming the curve for 19.5 ppt is directly between the 34 ppt and 25 ppt curves, mix 1022 kg m-3 . Therefore the mixture is more dense tha

Atm. Sci. 509/Ocean 512 Homework 2
Due Friday, January 26, 2007
1. Consider a cylindrical beaker of radius r containing a depth h1 of an incompressible fluid of density 1 at rest. Let gk be the gravitational acceleration. (a) The beaker is placed on a tur

Atm. Sci. 509/Ocean 512 Homework 1
Due Friday, January 19, 2006
1. Consider two water parcels at a pressure of 1 bar. Parcel A has a salinity of 34 ppt and a temperature of 32 C, and parcel B has a salinity of 25 ppt and a temperature of 0 C. Reading off

Atm. Sci. 509/Ocean 512 (GFD I) Homework 3
Due Friday, February 2, 2007
1. Low Rossby Number Scaling Analysis Consider flow on an f-plane with small aspect ratio H/ L and low Rossby number Ro = U/fL, which is nearly inviscid, has low Mach number, and has

Atm. Sci./Ocean 509 Homework 5
Due Friday, February 23, 2007
1. Using the LSWE and the 1.5-layer approximation, consider an baroclinic (or internal) oceanic equatorial Kelvin wave of 30 m amplitude (defined as the maximum displacement of internal density

Atm. Sci. 509/Ocean 512 (GFD I) Homework 4
Due Friday, February 16, 2007
1. Consider a Poincare wave of wavenumber k and free-surface displacement (x, y, t) = 0 cos(kx-t) propagating in the x-direction across a horizontally unbounded fluid layer of depth