Question

Find the solution of the heat conduction problem and provide a detailed graph showing the initial, intermediate and final temperature distribution in the bar. 3. ut uxx ux(0, t) 0 ux(1,t) 0 u(x, 0) 1-x Find the solution of the heat conduction problem and provide a detailed graph showing the initial, intermediate and final temperature distribution in the bar. 4. ut = 2uxx u(0,t) 0 u(10,t) 10 u(x, 0) = 10

Answer 1

ㄩㄨㄨ X c c be general so (dhem a-t Diidieg by AT tovough ouve have -22t ㄒ Henee 0 し)spng gbundaty ond.hoワ' LIx.lo tla uhldit)s

Hence C Average (so onT-o) 븅2 Lx.sinen~ハ-/Sinnn_ 4n e 2ns at)C3 cos nn using inite condlihon u ) ) n:o heo n万 An An n ever 4-

ttenee n E even o steady state temperature cd Inihal temperature dishibuhen (t-o)

) (-0.5,0)ソー( 0.5, 0 0.5 0.5

Hope it helps you out.

In case any doubt please feel free to ask.

I will be happy to help you.

Thanks!!

Note: Next problem is exactly same accept k=2 in expression Ut =kUxx.and can be easily solved .