please do a scale analysis for a certain suitation which make the \"pressure gra

Question

please do a scale analysis for a certain suitation which make the "pressure gradint force" and "corlis force" is not in equalibrium(same scale).

if possible, it is better to provide two suitations, thanks

Provide a different and realistic example (for the Earth's atmosphere or ocean) of a situation where the geostrophic balance may not hold. List the parameters used and provide a brief (2 or so sentences) discussion of the hysics involved and why the geostrophic balance isn't holding. Ensure that in your example your choice of parameters roperly satisfied the momentum equation. [10] 2.

Explanation / Answer

For geostrophic balance, coriolis and pressure gradient terms are

-fvg= -1/p(dp/dx)

fug= -1/p(dp/dx).

Geostrophic wind is stable and slowly evolving wind. Beacause the coriolis and pressure gradient are opposite in directions and equal in magnitude, under the constraint of geostrophical balance, geostrophic wind flows parallel to isobars on a given height surface. In mid latitudes, geostrophic wind approximates the true horizontal velocity to within ~10%. The synoptic analysis give us the measure of how close the atmosphere is satisfying geistrophic balance at that location.

Rossy number is the ratio between characteristic scales of tge acceleration and coriolis terms.

R0= U2/L/f0U = U/f0L

For R0~0.1, magnitude of acceleration term is one order of magnitude smaller than the magnitude of coriolis term. This describesdescribes geostrophic balance. For R0~1 or R0>1,magnitumagnitude ofof acceleration term is comparable to or exceeds the magnitude of coriolis term. Here geostrophic balance does not hold.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.