The Lumped Capacitance Method
The Lumped Capacitance Method
The Lumped Capacitance Method
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
:<br />
T −T<br />
⎡ ⎛hAsc<br />
, ⎞ ⎤ ⎡ hL A k<br />
c sc ,<br />
⎤<br />
(5.6)<br />
∞<br />
= exp ⎢− t ⎥ = exp ⎢−( )( ) t⎥<br />
T −T ⎜<br />
ρ∀c ⎟<br />
k ρ∀cL<br />
i ∞ ⎣ ⎝ ⎠ ⎦ ⎣ c ⎦<br />
⎡ hLc<br />
k/<br />
ρc ⎤ ⎡ hLc<br />
αt<br />
⎤<br />
= exp ⎢− ( )( ) t exp ( )( ) exp ( Bi)( Fo )<br />
2 ⎥ = ⎢− 2 ⎥ ≡ −<br />
⎣ k L k L<br />
c ⎦ ⎣ c ⎦<br />
αt<br />
Fo ≡ = Fourier number<br />
L<br />
2<br />
c<br />
[ ]