Trying to solve a heat transfer problem - Need Math Help

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Messages 1 - 9 of total 9 in this topic
JuanDeFuca

Big Wall climber
Chatsworth
Topic Author's Original Post - Apr 18, 2005 - 03:20pm PT
I have been trying to solve this problem.

Say you have a 10ft dia solid lead sphere in orbit around sun at .43 AU.

What does the temperature distribution look like throughout the sphere.

What is the darkside temp vs sunlight?

Where is the maximum temp.

Thanks

Juan
G_Gnome

Trad climber
Ca
Apr 18, 2005 - 03:27pm PT
Damn hot all the way thru. Probably liquid and mass is freely being exchanged between sides. You should go onsite and get some empirical testing done and let us know the details.
tomtom

climber
Seattle, Wa
Apr 18, 2005 - 04:23pm PT
American or European?
Jaybro

Social climber
The West
Apr 18, 2005 - 04:24pm PT
African or European?

For some of us, it's always too hot.
crazyazid

climber
Los Angeles, Ca
Apr 18, 2005 - 07:29pm PT
you got radiation from the sun heating the lighted side, then that heat gets conducted to the dark side, which radiates into empty space. If the same side always stays in the sun then you should reach equilibrium. I'd assume steady state and use those equations to solve for the heat flux. The flux should be the same for the conduction, light side radiation and dark side radiation. Dark side, light side, either way "I am your father's uncle's counsin's former roomate"-man I love Spaceballs!
Ed Hartouni

Trad climber
Livermore, CA
Apr 19, 2005 - 12:08am PT
Why?
poop_tube

Trad climber
Irvine, CA
Apr 19, 2005 - 12:49am PT
HAHA! I'm doing my thermodynamics HW right now. Um....Isn't this an example of the Zeroth Law of Thermodynamics? It should be uniform temperture throughout the sphere once it comes to equilibrium. My book reads, "...that when two bodies have equality of temperature with a third body, they in turn have equality of temp with each other." So imagining all the individual molecules of the sphere in contact, they should all be at the same temp IFFFFF they are in thermal equilibrium. This is like how thermometers and stuff work. They wouldn't work if there was not uniform temp thoughout thoughout the mercury even if it it just the bottom part that is exposed to the part that you are measuring the temp. Am I oversimplifying this?

deuce4, Oh brilliant one, where you at?
WBraun

climber
Apr 19, 2005 - 01:00am PT
What does the temperature distribution look like throughout the sphere.

Whole

What is the darkside temp vs sunlight?

Cold to hot

Where is the maximum temp.

Hottest part you feel.
dirtineye

Trad climber
the south
Apr 19, 2005 - 09:22pm PT
You're talking PDE here pal.

Messages 1 - 9 of total 9 in this topic
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