Rossby Wave Problem: Deriving General Expressions

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Homework Help Overview

The discussion revolves around deriving general expressions from an equation of geopotential of waves in a westerly flow. Participants are exploring the mathematical aspects of this problem within the context of fluid dynamics and wave theory.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to derive the initial equation using derivatives with respect to various variables but are encountering difficulties in aligning their results with the expected outcomes. There is a request for clarification on relevant equations and definitions related to the problem.

Discussion Status

The discussion is ongoing, with participants seeking to clarify their understanding and improve their approach to the problem. Guidance has been offered regarding the need to show work and utilize LaTeX for clarity in presenting equations.

Contextual Notes

There is an emphasis on adhering to forum rules regarding homework help, and participants are encouraged to demonstrate their efforts in tackling the problem. The need for relevant equations and definitions has been highlighted, indicating potential gaps in understanding.

Zythryn
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Summary:: Given an equation of geopotential of wave in a westerly flow, take derivatives to derive general expressions.

Given an equation of geopotential of wave in a westerly flow, take derivatives to derive general expressions.
 

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Zythryn said:
Summary:: Given an equation of geopotential of wave in a westerly flow, take derivatives to derive general expressions.

Given an equation of geopotential of wave in a westerly flow, take derivatives to derive general expressions.
Welcome to PhysicsForums. :smile:

Per the PF rules (see INFO at the top of the page), schoolwork type threads usually need to go in the Homework Help forums, and you need to show your best efforts to start working the problem. The one exception to that rule is if the problem is advanced enough and if you show lots of work in your opening post, those threads can sometimes be left in the technical forums.

Can you show your work to start on this problem? It is best if you look over the LaTeX Guide link in the lower left of the Edit window, so that you can post the equations in a legible forum to show your work. Thank you.
 
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berkeman said:
Welcome to PhysicsForums. :smile:

Per the PF rules (see INFO at the top of the page), schoolwork type threads usually need to go in the Homework Help forums, and you need to show your best efforts to start working the problem. The one exception to that rule is if the problem is advanced enough and if you show lots of work in your opening post, those threads can sometimes be left in the technical forums.

Can you show your work to start on this problem? It is best if you look over the LaTeX Guide link in the lower left of the Edit window, so that you can post the equations in a legible forum to show your work. Thank you.

1606866975202.png
 

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Thanks for the response, I started the problem to try to get it match what zeta is asking for. However, trying to derive the initial equation by d/dy d/dx or d/dt gets me nowhere close to what I want.
 
Zythryn said:
Thanks for the response, I started the problem to try to get it match what zeta is asking for. However, trying to derive the initial equation by d/dy d/dx or d/dt gets me nowhere close to what I want.
I tried to add a screenshot of your hand-written work, but it didn't come out so well. You really need to learn to use LaTeX to post your work on internet forums (and for publications later, if you go that route).

I'll go ahead and move this thread to the calculus schoolwork forum, to hopefully get you better views than in the Earth forum.
 
Also, can you please post the "Relevant Equations" to define some of the quantities that we probably are not familiar with in this area of science? Thanks.

1606867304827.png
 

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