The Lumped Capacitance Method
The Lumped Capacitance Method
The Lumped Capacitance Method
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From Eq. (5.6), the corresponding temperature at any location in the sphere is<br />
( )<br />
T 984s<br />
(<br />
2 3<br />
)<br />
= 300° C − 275° C exp − 6 × 75 W / m ⋅ K × 984s / 2700 kg / m × 0.075m × 950 J / kg ⋅K<br />
( ) = + ( − ) ( − ρ )<br />
T 984s Tg,i Ti Tg,i<br />
exp 6ht / Dc<br />
T( 984s)<br />
= 272.5°<br />
C<br />
If the product of the density and specific heat of copper is (ρc) Cu ≈ 8900 kg/m 3 × 400 J/kg⋅K =<br />
3.56 × 10 6 J/m 3 ⋅K, is there any advantage to using copper spheres of equivalent diameter in lieu<br />
of aluminum spheres?<br />
Does the time required for a sphere to reach a prescribed state of thermal energy<br />
storage change with increasing distance from the bed inlet? If so, how and why?
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