Just a quick question here.
The intensity of light per square unit is subject to the inverse square law in which the intensity can be estimated by the formula 1/x2 where x is the distance from the source. So an object 3 feet away from the source will receive 1/9th the light intensity that an object 1 foot away would.
My question is does this also apply to thermal energy? It seems to me that it sound as it is simply a longer wavelength.
Follow-up question can this be applied to convection through a medium, such as water, channeled through a hose?
Inverse Square Law
Re: Inverse Square Law
Never mind, I found it. Good old Fourier. Clever bastard.
Re: Inverse Square Law
Then again.. maybe Newton's law of cooling is more applicable here.
Re: Inverse Square Law
Thermodynamics.. fluid dynamics.. Grashof numbers.. This is a lot more complex than I thought it would be.
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cronus
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Re: Inverse Square Law
I stopped at Laplace transforms and didn't go any further.
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FBM
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Re: Inverse Square Law
Yes. You're welcome. Please come again.
"A philosopher is a blind man in a dark room looking for a black cat that isn't there. A theologian is the man who finds it." ~ H. L. Mencken
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"It is useless for the sheep to pass resolutions in favor of vegetarianism while the wolf remains of a different opinion."
Re: Inverse Square Law
I'm just thinking aloud. It's surprisingly difficult and I'd hoped someone would have solved this problem before. 
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FBM
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Re: Inverse Square Law
After a bit of searching, I found the solution here.Făkünamę wrote:I'm just thinking aloud. It's surprisingly difficult and I'd hoped someone would have solved this problem before.
"A philosopher is a blind man in a dark room looking for a black cat that isn't there. A theologian is the man who finds it." ~ H. L. Mencken
"We ain't a sharp species. We kill each other over arguments about what happens when you die, then fail to see the fucking irony in that."
"It is useless for the sheep to pass resolutions in favor of vegetarianism while the wolf remains of a different opinion."
"We ain't a sharp species. We kill each other over arguments about what happens when you die, then fail to see the fucking irony in that."
"It is useless for the sheep to pass resolutions in favor of vegetarianism while the wolf remains of a different opinion."
Re: Inverse Square Law
I'm going to give up for now and hope some physics wiz will come along and help. It's now afternoon so I can drink.
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JimC
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Re: Inverse Square Law
It applies to any form of radiation from a point source, so heat radiation, sound etc. are all fine.Făkünamę wrote:Just a quick question here.
The intensity of light per square unit is subject to the inverse square law in which the intensity can be estimated by the formula 1/x2 where x is the distance from the source. So an object 3 feet away from the source will receive 1/9th the light intensity that an object 1 foot away would.
My question is does this also apply to thermal energy? It seems to me that it sound as it is simply a longer wavelength.
Follow-up question can this be applied to convection through a medium, such as water, channeled through a hose?
The rate of heat conduction through a given medium with a constant cross-section is directly proportional to both the length of the medium and the temperature differential, inversely proportional to the cross-sectional area, and also influenced by the heat conductivity of the medium.
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