%&'(23456789 :,-./;<=>? !01 heat conduction TA T/ T2 78*9:;<=>? TB !: %(45 [W " m-1 " K-1] . . #! A(T2-T/) Q=qA = 666!x *+(%$@A B*+(%$@A CDEF!0G forced convective heat transfer TA !x !"# Overall heat transfer !"#$%&'(% )*+,- steady state. T/ T$ TB TA T/ h: QR%(S5 [W"m-2 " K-1] . . Q = q A = h1 A (TA-T1) = h2 A (T2-TB) q [w/mT2] $ %01 TB !"# %&'()*+,-./ %&'()*+,-./ equivalent circuit by lumped parameters equivalent circuit by lumped parameters TA T/ !x TA R1= / h1A TB T2 T/ !x R2= ! A T2 TB R1=h1-1A-1 R2= !x !-1A-1 R3=h2-1A-1 T2 TA T/ R3= TB / h2A C0D%01, EFDCG, HID(%HI J%HI @K = R1+ R2 + R3 = h1-1A-1 + !x !-1A-1 + h2-1A-1 AL)BMNBO.P@K J'K!0G unsteady heat transfer J'K!0G unsteady heat transfer hA( T - T! ! hA(T - TI . L - c#V dT dt TI T0 T = T0 <=>? RT = h-1A-1, C = # c V @t=0s H'( time constant TUEF$1/e (36.8 %) VWXYZ$[\ T0 C=#cV T! T-TI hA t = exp(t)=exp(") T0-TI #cV J'K!0G unsteady heat transfer TI T0 - c#V dT dt RT = h-1A-1 T-TI t t T0 -TI = exp(- RTC ) = exp(- " ) T0 # cV " = RT C = hA TI t
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