What would the surface temperature of the sun be without the solar greenhouse effect?

Question

The core temperature is 15 million K and the surface temperature is 6000 K.

Answer 1

It would be the same.  The greenhouse effect occurs on the earth.  

Answer 2

"Well if you do a black body calculation where T = [S/sigma * (re/rs)^2]^1/4 where

T = solar surface temp

S = solar flux on Earth

sigma = Stefan-Boltzmann constant

re = Earth-Sun distance = 1 AU

rs = radius of the Sun = 0.004652 AU

You get T = 5780 K."

For those wanting to know the value of the other two:

S=~1380 W/m²

σ=5.67E-8

Answer 3

The same as it is currently ~ 5500K. See 'Eugene Parker' (1958) and Solar Wind Theory.

"neat question though"...I wish I could say it's cool.

Answer 4

Well if you do a black body calculation where T = [S/sigma * (re/rs)^2]^1/4 where

T = solar surface temp

S = solar flux on Earth

sigma = Stefan-Boltzmann constant

re = Earth-Sun distance = 1 AU

rs = radius of the Sun = 0.004652 AU

You get T = 5780 K.

The actual temperature seems to be 5840 K.

Answer 5

Isn't the surface temperature of the sun fixed by convection, not radiative transfer?  I vaguely recall that the photon density is so high in the outer core of the sun ... oh nuts ... I'm going to look this up ... brb ...  yeah, here:

http://www.astronomynotes.com/starsun/s2...

The outer layer temperature is fixed by convection from within, not radiative transfer from outside.  Therefore, although the corona temperature is several orders of magnitude higher, for reasons that aren't clear but likely aren't due at all to radiative transfer, the point is that the number of watts per meter squared coming from below the surface are huge compared to the watts per meter squared being delivered to the surface from the corona.  The analogy to Earth would be if the Earth's core were several million Kelvins instead of several thousand.  In that case the solar flux and greenhouse effect would be irrelevant in determining the surface temperature (aside from the fact there would be no atmosphere to speak of).  

I think.

What did you get?