han_ analytical heat transfer - errors corrections
DESCRIPTION
Analytical Heat Transfer β Errors CorrectionsJe-Chin HanDecember, 2011TRANSCRIPT
Analytical Heat Transfer β Errors Corrections
Je-Chin Han
December, 2011
Page 15, equation (2.12): π π‘πβ²β² should be π π‘πβ²β²
π΄
Page 16, equation (2.15): ππ(π2 π1β 2πππβ ) should be (ππ(π2 π1β ) 2πππβ )
Page 53, FIGURE 3.4, lower middle diagram: β2π = 0 should be β2π2 = 0
Page 74, last line: after πΆπ equation, add βwhereπππΏ = ππ β
Page 75, equation (4.11) should be: π(π₯,π¦, π§, π‘) = ππ₯(π₯, π‘) β ππ¦(π¦, π‘) β ππ§(π§, π‘)
Page 76, equation (4.15) should be: π = π1(π₯) + π2π₯(π₯, π‘) β π2π¦(π¦, π‘) β π2π§(π§, π‘)
Page 77, equation (4.16): π should be πππ
Page 82, line 12: ποΏ½(π , π‘) should be ποΏ½(π₯, π )
Page 85, lines 9 and 10 should be:
οΏ½ππππ‘
πΏ
0
ππ₯ β‘πππ‘οΏ½πππ₯πΏ
0
βππΏππ‘ππ₯=πΏ +
ππΏππ‘ππ₯=0 =
πππ‘οΏ½πππ₯πΏ
0
βππΏππ‘
β ππ + 0
β΄πππ‘οΏ½πππ₯πΏ
0
βππΏππ‘
β ππ = πΌ οΏ½ππππ₯οΏ½π₯=πΏ
β πΌ οΏ½ππππ₯οΏ½π₯=0
Page 88, line 4: ΞΈs should be βΞΈs
Page 88, equation (4.33h): βk2 should be k2
Page 90, line 7: ππππ‘οΏ½πΏ
should be ππππ‘οΏ½πΏ
Page 118, equation (5.22): οΏ½ΜοΏ½π βπ₯ β βπ¦ should be οΏ½ΜοΏ½π
Page 118, equation (5.24): οΏ½ΜοΏ½π βπ₯ β βπ¦ should be οΏ½ΜοΏ½π
Page 131, FIGURE 6.5: Refer to x - direction, mass out, ππ£ππ¦ should be ππ’ππ¦
Refer to y - direction, mass in, ππ’ππ₯ should be ππ£ππ₯
Page 132, equation (6.8): Sx should be Οx
Page 132, line 17: in compressible should be incompressible
Page 134, equation (6.11): shear should be stress
Page 137, equation (6.21): πβ = π
ππβ2 should be πβ =
πππβ2
Page 137, line 3 from bottom: ππ’β
ππ¦β should be
ππ’β
ππ¦βοΏ½π¦β=0
Page 144, line 14: πβ²β²β² should be ππβ²β²
Page 144, line 17: β πΆ1 should be ππ β πΆ1
Page 144, line 18: at π = 0,πβ² = 1 should be at π = β,πβ² = 1 Page 145, TABLE 7.1, line 3: 0.322 should be 0.332
Page 147, lines 13 should be: πβ² = πββ«ππ2 πππ
π0 β πΆ1
Page 147, line 14 should be: π = πΆ1 β« πββ«ππ2 πππ
π0 πππ
0 +πΆ2
Page 148, line 8 should be: β« πππ = β2πππβ²β²π0
Page 151, last line: + should be β in the right-hand-side third term
Page 155, line 8: the middle term πππ₯οΏ½πΏππΏοΏ½ β 0 should be deleted
Page 156, add the following between line 1 and line 2:
at π₯ = 0,πΆ1 = 0, π3= 1314ππ
π = πΏππΏ
= οΏ½ 1314ππ
οΏ½1 3β
β 0.975 (ππ)β1 3β ~ ππβ1 3β
Page 169, line 8: conductivity should be boundary layer Page 170: line 14 and line 15 should be interchanged
Page 171, equation (8.12): οΏ½(1 2β )ππππ₯2 οΏ½ should be οΏ½(1 2β )ππππ₯οΏ½2
Page 174, line 6: energy equation (8.3), should be energy equation 8.4,
Page 174, line 8: β« π 0 should be β«
Page 174, line 12: ππππ₯2 should be ππππ₯
Page 176, line 7: π2π’ππ¦2
should be π2π’ππ₯2
Page 179, line 3 should be:
ππ =94π’ππ»2
πΌοΏ½οΏ½
16β
160
β5
12β
110
+1
84+
536οΏ½ππππ₯οΏ½ +
32οΏ½ππ β
ππ 3οΏ½
Page 210, equation (10.45): π β ππ€ should be ππ€ β π Page 211, FIGURE 10.8, y-axis: (π β ππ€) should be (ππ€ β π) Page 212, line 7: add β-1β to the denominator
Page 214, lines 5, 7, 8, and 9: ππ€β²β² should be βππ€β²β²
Page 214, equation (10.51): π β ππ€ should be ππ€ β π
Page 215, line 1: π+ = π’+ should be βπ+ = βπ’+
Page 246, lines 3, and 4: (π₯2 + 1) should be (π₯2 β 1)
Page 247, Table 12.1, view factor in the last diagram: 2π should be 12π
Page 253: FIGURE 12.10: rotate a to b, b to c, c to a
Page 263, line 11: 2π
should be 1π
Page 276, FIGURE 14.2, right-hand-side lower sub-diagram, y-axis: ππ€ should be ππ
Page 278, line 13: delete gray
Page 283, line 16: delete π½π
Page 284, line 11: [π΄] = [π½][πΆ] should be [π΄][π½] = [πΆ]
Page 286, equation (14.32) should be:
π1 =π΄1π1πΌππππ 4
1 β (1 β π1)οΏ½1 β πΌποΏ½β
π΄1π1πππππ4
1 β (1 β π1)οΏ½1 β πΌποΏ½
=π΄1π1
1 β (1 β π1)οΏ½1 β πΌποΏ½οΏ½πΌππππ 4 β πππππ4οΏ½