传热学第五版习题解答(4)

2019-01-26 21:27

'' ttf?t'f23.5?62f?2?2?42.75℃。 查空气热物性表,并利用线性插值法得:

?6f?2.779?10?2 W/(m.K) vf?17.23?10? m2/s ?6f?19.24?10? N.s/m2

Prf?0.6987

?f?1.118kg/m3 cp?1.005kJ/(kg.K)

u0.0125m?m?????24d1.118???6.694 m/s

4?0.052Reum?d0.05?5.f?v?694?6?1.65?104?104 f17.23?10此流动换热属紊流换热。

1Nu?0.023Re0.8???0.143fffPrf?????w??

1?6?0.023?(1.65?104)0.8?0.69873???19.24?10?0.14?20.2?10???6???47.96

h?Nuf??f47.96?2.779?10?2d?0.05?26.66 W/(m2.K)

校核:

??m?c\'p(tf?tf)?0.0125?1.005?(62?23.5)?103=483.66 W h?2?A?t???dl(tt?483.66?26.67 W/(m2.K) w?f)3.14?0.05?6?(62?42.75)h1?h2 因此假设成立。

所以:tw?62℃,h?26.66 W/(m2.K) ??483.66W。

6-33 解:tf?30.1℃,

查空气热物性表,并利用线性插值法得:

?f?2.67?10?2 W/(m.K) vf?16.0?10?6 m2/s,Prf?0.701

tw?12℃,Prw?0.7046

16

Re?u?d14?0.012??1.05?104 ?6v16.0?10

0.25选式(6-13)(见教材p164)

n0.37?PrfNuf?CRefPrf??Pr?w????

根据表6-1,选C?0.26,n?0.6

0.60.37?PrfNuf?0.26RefPrf??Pr?w????0.25?0.26?(1.05?10)40.6?0.7010.37?0.701????0.7046??0.25?58.89h?

Nuf??fd58.89?2.67?10?2??131.0 W/(m2.K)

0.0126-35 解:tf?20.2℃,查水的热物性表得:

?f?59.9?10?2 W/(m.K) vf?1.006?10?6 m2/s Prf?7.02

Ref?u?d4.87?0.0194 ??9.2?10?6vf1.006?100.250.2由表6-2得:

0.60.36?PrfNuf?0.35RefPrf??Pr?w?????S1??S?2?????0.35?(9.2?10)40.6?7.020.36?7.02?????6.188?0.25?10.2?692.98Z=5排,由表6-3得,?z?0.92

Nuf?Nuf??z?692.98?0.92?637.5 h?Nuf??fd 6-43解:tf?''637.5?59.9?10?2??2.01?104 W/(m2.K)

0.019tw?tf2?100?18?59℃ 2据此温度,查空气热物性参数表,并利用线性插值法得:

?f?0.02893 W/(m.K) vf?18.868?10?6 m2/s Prf?0.70

?t?tw?tf?100?18?82℃

??111???3.01?10?3(1/K) T273?5933217

g??tl39.81?3.01?10?3?82?0.0763Gr?v?(18.868?10?6)2?2.99?1062Gr.Pr?2.99?106?0.70?2.09?106

根据表6-4,选C?0.48,n?0.25

Nu?C(GrPr)n?0.48?(GrPr)0.25?0.48?(2.09?106)0.25?18.25

h?Nu???18.25?0.02893?6.94 W/(m2d0.076.K) ql?h??d?1?(tw?tf)?6.94?3.14?0.076?(100?18)?135.8 W/m

6-47解:(此题可选做)

已知H?650mm,tf?15℃,h?4.82 W/(m2.K),A?2m2 预设t?tfW?45℃,则定性温度ttwm?2?15?452?30℃ 查空气热物性表得:

??0.0267 W/(m.K) v?16?10?6 m2/s Pr?0.701

??1T?1?30?1303?3.3?10?3 (1/K) m273Gr?Pr?g??tl3v2?Pr?9.81?3.3?10?3?(45?15)?0.653(16?10?6)2?0.701?7.303?108此流动换热属层流换热。

??2Nu??0.825?0.387Ra1H6H??1?(0.492/Pr)9/827???16?? ???12???0.825?0.387?(7.303?108)6???9/16??111.33 ??1?(0.492/0.701)?827??h'?Nu??H?111.33?0.02670.65?4.57 W/(m2.K)

??4.82?4.574.82?5.2%

18

再次假定t'W?46 ℃,重新计算,直到h?h,具体过程略。

6-52 解: 已知??75mm,H?2.5m,tw1?15℃ 定性温度tw1?tw2m?t2?15?52?10℃ 查附录2得:

??0.0251 W/(m.K) v?14.2?10?6 m2/s ??3.53?10?3(1/K)Grg??t?39.8?3.53?10?3?10?0.0753??v2?(14.2?10?6)2?7245

2000?Gr??2?105

11由表6-5得:Nu91??0.18Gr1?4?????0.18?(7245)4??0.075?9?H????2.5???1.125

h???.125?0.0251e?Nu??1.075?0.3765 W/(m20.K)

qe?he(tw1?tw2)?0.3765?10?3.765 W/m2

第七章

7-6 解:液膜的平均温度

ts?tw100?m?t2?302?65℃ 查附录3饱和水的热物理性质表得:

??0.664 W/(m.K) ??4.380?10?4 N.s/m2

??980.5 kg/m3

由式(7-1) Co?1.47Re?1c3得

Co?1.47?30?13?0.473

19

?13Co?h????3?2g????2???

?0.6643?13即:0.473?h????980.52?9.81??(4.380?10?4)2???

h?11428.5 W/(m2.K)

ts?100℃,其潜热r?2257.1kJ/kg

Re(ts?tw)C?4?h?l???r

? ReC???r30?4.380?10?4?2257.1?103l4?h?(t)?s?tw4?11428.5?(100?30 )?0 .00927m?9.27mm

7-11 解:

ts??10℃时,氟利昂-12的潜热r?159.4kJ/kg

液膜的平均温度

ts?twm?t2??10?152?12.5℃ 查得氟利昂-12的物性参数为:

??0.08725 W/(m.K) ??0.224?10?6 m2/s

??1432.75 kg/m3

?????3.21?10?4 N.s/m2

?1

3h?1.13????2g?3r???l(ts?tw)???

1 ?1.13???1432.752?9.81?0.087253?159. 4?103?3.21?10?4?1.5?(?10?15?4? ?

?1725?)W/(m2?K)m??h??dl?(ts?tr?w)r?1725?3.14?0.05?1.5?(?10?15)159.4?103?0.0127 kg/s

7-20解:由p?10.03?105Pa,查得:ts?180℃

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