# HW5Soln - 18.8(0.6m(0.45m(0.3m W V h 230 2 A = m K...

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18.8 ( )( )( ) ( )( ) ( )( ) ( )( ) [ ] hart eisler 105 151 . 0 3 . 0 6 . 0 3 . 0 45 . 0 45 . 0 6 . 0 2 3 . 0 45 . 0 6 . 0 230 2 C H use mK W m m m m m m m m m K m W k A V h Bi = + + = = w l h o Y Y Y K K K K T T T T Y = = = = 187 . 0 297 420 297 320 ( ) 001 . 0 6 . 0 230 151 . 0 2 1 = = = m K m W mK w hx k m h ( ) 004 . 0 15 . 0 230 151 . 0 2 1 = = = m K m W mK w hx k m l ( ) 003 . 0 225 . 0 230 151 . 0 2 1 = = = m K m W mK w hx k m w ( ) ( ) s t s x t m s m x x t X h 1 10 72 . 1 6 . 0 10 19 . 6 7 2 2 8 2 1 = = = α ( ) ( ) s t s x t m s m x x t X l 1 10 75 . 2 15 . 0 10 19 . 6 6 2 2 8 2 1 = = = α ( ) ( ) s t s x t m s m x x t X w 1 10 22 . 1 225 . 0 10 19 . 6 6 2 2 8 2 1 = = = α Trail and Error Solution Guess 40 hours (1.44x10 5 sec) X h = 0.025 Î Y h = 0.9 X l = 0.4 Î Y l = 0.05 X h = 0.18 Î Y w = 0.1 Y= Y h Y l Y w =(0.9)(0.05)(0.1)=0.004 Too long Guess 30 hours (1.08x10 5 sec) X h = 0.018 Î Y h = 1 X l = 0.3 Î Y l = 0.08 X h = 0.13 Î Y w = 0.13 Y= Y h Y l Y w =(1)(0.08)(0.13)=0.01 Too long Guess 3 hours (1.08x10 4 sec) X h = 0.002 Î Y h = 1 X l = 0.03 Î Y l = 0.4 X h = 0.013 Î Y w = 0.6 Y= Y h Y l Y w =(1)(0.4)(0.6)=0.24 Close Enough Time = 3 hours 18.19 a . ( ) ( ) ( )( ) arameter umped 0012 . 0 212 2 25 . 0 2 25 . 0 4 4 2 2 P L use hrftF Btu ft ft ft ft F hrft Btu k A V h Bi = =

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