Question

section 18.2 9. A thin, homogeneous bar of length L has initial temperature equal to a constant B. and the right end (x=L) is insulated , while the left end is kept at a zero temperature. Find the temperature distribution in the bar

Answer 1

1.9

1.10

q case- case-2 C-900 1 T 14 T 110 Tout SO c=mx4.12 comxu. 18 15 then in Now, as both ало. same heat exchanger that can assume effectiveness will be same both the cases (Effectiveness case-1 Actual heat transfer max heat transfer mx 4.18 *[ 50-25) Cminx (AT) max minę mx 4.18, 2) . cmin inx 4.18 85°C - 25 A Tmax 110 .. (E) case-I mx 4.18725 = 25 mx 4.18 785 85 (E) case-2 Actual heat transfer max heat transfer mx 4.78* [Tout -15] - Tout-15 in f 4.18 (110-15) 95 Equating case, - ! case-2 effectiveness Tout 15 95 Tout) = 42.900 and 25 85

107 Y sg YOH [s - density, g acceleration due to gravity] flow rate Head H → and u a Sh uz H and We know u= TON 2. US ON Н D²N2 ن - Ах у Area <D 2 JD²N2 velocity & SH V a DN ws ..o a ² x DN Ра D3Nx D²N² Pi DEN? D₂5 N23 P2 D2 = 0.8 Di N2 - N =N Pinitial Pfinal (0)5 x N3 (0.8 DU SE N3 0-85 - Pfinal Pinitial - 32.8