Flux Equations for a Solid Surface and a Curve

In summary, the two equations posted are both flux equations, with one specifically for a surface of a solid and the other for a curve. The first equation is for flux across the surface in 3 dimensions, while the second is for flux across a closed path in 2 dimensions. The question does not explicitly state the type of integral for the second equation, but the presence of only one integral sign suggests it is for a curve. It is possible to determine the type of integral from the context of the larger homework question.
  • #1
Miike012
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are both of the equations i posted flux equations. one of them is for a surface of a solid and the other is for a curve?
 

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  • #2
If you meant "Is one of them is for a surface of a solid and the other is for a curve?", yes, the first specifically says "surface" and the second, while you have only given the form, has "ds" rather than "dS" and so is a path integral.

Also, the first is for flux across (through) the surface in 3 dimensions while the second is for flux across the closed path, in 2 dimensions, and so the flow in and out of the region bounded by that closed path.
 
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  • #3
well the first one is definitely a surface integral because the question says so. The second one is less obvious. The fact that there is only one integral sign might imply that the integral is over a curve...

Is this for a larger homework question? Maybe you can tell which it is meant to be from what the rest of the question says.
 

Related to Flux Equations for a Solid Surface and a Curve

1. What is a flux equation?

A flux equation is a mathematical representation of the flow of a physical quantity, such as energy or particles, through a surface or curve. It takes into account factors such as the surface area, velocity, and direction of the flow.

2. What is a solid surface flux equation?

A solid surface flux equation is a specific type of flux equation that calculates the flow of a physical quantity through a solid surface. It considers the surface area, orientation, and other properties of the solid surface to determine the flux.

3. What is a curve flux equation?

A curve flux equation is a specific type of flux equation that calculates the flow of a physical quantity along a curve or path. It takes into account the curvature, length, and other properties of the curve to determine the flux.

4. How do solid surface and curve flux equations differ?

Solid surface and curve flux equations differ in the type of surface or path they consider. Solid surface flux equations only apply to flow through a solid surface, while curve flux equations only apply to flow along a curve or path.

5. How are flux equations used in science?

Flux equations are used in various scientific fields, including physics, chemistry, and engineering, to understand and predict the flow of physical quantities. They are often used to analyze and design systems involving heat transfer, fluid dynamics, and mass transport.

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