What purpose does the delta notation serve in this context?

  • #1

Main Question or Discussion Point

In a book on atmospheric physics I'm reading, the author begins a derivation by examining a fluid element of volume V = δxδyδz.

In this context, what purpose is delta δ serving? Is it just a placeholder for an unspecified volume in the x, y, and z directions, or is it referring to an infinitesimal volumetric quantity?
 

Answers and Replies

  • #2
RPinPA
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The words "fluid element" tells me this is a thing which is going to be integrated. So yes, I think it will shortly be replaced by an infinitesimal quantity in the derivation.
 
  • #3
Mister T
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In a book on atmospheric physics I'm reading, the author begins a derivation by examining a fluid element of volume V = δxδyδz.

In this context, what purpose is delta δ serving? Is it just a placeholder for an unspecified volume in the x, y, and z directions, or is it referring to an infinitesimal volumetric quantity?
Each volume element is a cube that measures δx by δy by δz. For example, the left edge of one of these cubes might have a position x = 1.5 and the position of the right edge is x = 1.6. Then δx=0.1.
 

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