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분야
hwp(temperature vs fin length)
1) Analytical Solution
2) h값을 구한다.
3) Matlab Code
4) Data
5) Graph
2. Derive a discrete equation with the energy balance method and plot the temperature profile with Finite Differential Method(FDM) (temp. vs (x,y))
(1) Discrete equation with the energy balance method
3. Compare '1D temperature profile' with 'temperature profile by FDM' and comment about the results.
4. Reference
(temperature vs fin length)
1) Analytical Solution
Fin의 미소면적에 대해 대류에 의한 열의 손실을 고려하여 열전달식을 세워 보면,
---------- (1)
한편 미소변화량은 다음과 같이 나타낼 수 있다.
---------- (2)
(1), (2)에서
---------- (3)
Fourier's Law,
( Ac : Cross Sectional Area ) ---------- (4)
Newton's cooling law,
( As : Surface Area ) ---------- (5)
Steven C. Chapra, Raymond P. Canale, 2002, Numerical Methods for Engineers 4th edition, McGRAW-HILL, p.289 11.2 GAUSS-SEIDEL
Frank P.Incropera, David P.Dewitt, Fundamentals of Heat and Mass Transfer 5th edition, p.56
