How Do You Calculate the Rate of Heat Flow Outward Across a Star's Surface?

  • Thread starter colinlovesmath
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In summary, the temperature in a star with a conductivity of 1 is inversely proportional to the distance from the center, given by the equation u=7/(sqrt(x^2+y^2+z^2)). If the star is a sphere with a radius of 3, the rate of heat flow outward across the surface can be calculated using Gauss Law, with the distance of any point on the surface to the center being 3. The temperature at the center is infinite due to the inverse proportionality.
  • #1
colinlovesmath
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The temperature in a star of conductivity 1 is inversely proportional to the distance from the center: u=7/(sqrt(x^2+y^2+z^2).
If the star is a sphere of radius 3, find the rate of heat flow outward across the surface of the star.

Not sure where to even start.
 
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  • #2
Put the center at (0,0,0). The temp at the center is infinite (can you see why?)

What is the distance of any point on the surface to the center?
 
  • #3
I understand that, the distance of any point on the surface to the center is 3 (the radius). But how do I use gauss Law or whatever?
 

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