The weight of the insulation in a spacecraft may be more important than the space required. Show

Question:

The weight of the insulation in a spacecraft may be more important than the space required. Show analytically that the lightest insulation for a plane wall with a specified thermal resistance is that insulation which has the smallest product of density times thermal conductivity.
GIVEN
Insulating a plane wall, the weight of insulation is most significant
ASSUMPTIONS
One dimensional heat transfer through the wall
Steady state conditions

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Principles of heat transfer

ISBN: 978-0495667704

7th Edition

Authors: Frank Kreith, Raj M. Manglik, Mark S. Bohn

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