A cylinder is constructed from a super insulator. The dimensions of the cylinder are Length L: 1 M; inside diameter i.d.: 12 mm. The entire Length of the cylinder contains copper (cases described below).
Heat (T > 100C) is continuously applied to the copper on one end of the cylinder. There is a heat sink attached to the copper at the opposite end of the cylinder--it can dissipate the heat at or above the rate of heat absorption.
What will be the difference in rate of conduction, if any, for:
a) the cylinder contains solid copper (12mm dia. X L)
b) the cylinder is packed with copper powder (say, 30 microns)
c) the cylinder is packed with small diameter copper rods (say, 1mm dia. X L)
d) the cylinder is packed with small diameter copper tubes (say, 5mm o.d., 4m i.d. X L)
e) the cylinder contains a uniform copper lattice (honeycomb X L) structure surrounded by air
If there's a difference, which case results in the highest conduction rate and why? Lowest?
Heat (T > 100C) is continuously applied to the copper on one end of the cylinder. There is a heat sink attached to the copper at the opposite end of the cylinder--it can dissipate the heat at or above the rate of heat absorption.
What will be the difference in rate of conduction, if any, for:
a) the cylinder contains solid copper (12mm dia. X L)
b) the cylinder is packed with copper powder (say, 30 microns)
c) the cylinder is packed with small diameter copper rods (say, 1mm dia. X L)
d) the cylinder is packed with small diameter copper tubes (say, 5mm o.d., 4m i.d. X L)
e) the cylinder contains a uniform copper lattice (honeycomb X L) structure surrounded by air
If there's a difference, which case results in the highest conduction rate and why? Lowest?