Hi, question for some experienced thermal guys out there. I'm modeling a spacecraft and would like to know the steady-state temperature distribution with say 9 nodes (i.e. a hexagonal prism with one node on each of the 8 faces and one in the very middle).(adsbygoogle = window.adsbygoogle || []).push({});

So, my [9] equations are e*sigma*area*T^4 = Qsun + Qearth + Qconduction(linear in temperature) + ... (there are 8 of those equations, one for each face of the hexagonal prism). The 9th equation would be Qconduction1(linear in temperature) + Qconduction2(same) + ... + Qinternal = 0 for the inner 9th node (ignoring internal radiation for the moment).

Since this system of equations is nonlinear, what would be the best way to go about solving for the steady-state temperatures? I've tried using Excel's solver add-in with a least-squares analysis, but it doesn't seem very accurate. Any ideas? Thanks for any input.

-thermalguy

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# Solving Steady-State Temperature Distribution

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