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The Lumped Capacitance Method

The Lumped Capacitance Method

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kA<br />

: ( Ts,1 − Ts,2 ) = hA( Ts,2<br />

−T ∞<br />

)<br />

L<br />

Tsi ,<br />

−Ts,2<br />

L/<br />

kAs Rcond<br />

hL<br />

‣ Physical Interpretation:<br />

= = = =<br />

T −T 1/ hA R k<br />

s,2<br />

∞<br />

s conv<br />

hLc<br />

Bi ≡ < 0.1 ( <strong>Lumped</strong> Heat <strong>Capacitance</strong> )<br />

k<br />

L = V / A<br />

c<br />

Plate : L = L;<br />

s<br />

c<br />

Cylinder : L = r / 2 ; Sphere : L = r /3 ( L<br />

= r )<br />

c o c o c o<br />

Bi

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