?tm2?逆流:
?350?180???220?100??143.6℃ln350?180220?100
??KA1?tm1A1?tm2143.6???1.25?KA2?tm2 A2?tm1114.6
1.74?500?500435000W???2v?0.8??317.52?0.8?20.8?1.74K?1.74?500?5001370mK v19、?
??C?t2??20?qm??2qmqm?C?T1?T2???qm,
160?T2?2
??50∴,120?T2??2t2??t2??C?t2??20??0.002?1000?4000??20??8000??20??t2?t2qm
????T2??20??120?t2ln?120?t2T2??20
??20??KA?tm?317.5?20??t28000将
??t2160?T2??2代入,设T2?49.2℃,整理
35.4?0.79375?35.4?35.464.6ln29.2
方程两边相等,说明假设正确,∴热流体出口温度=49.2℃。 21、下标1表示热,2表示冷。
qm1C1?0.5qm1C1(420?370)?qm2C2(310?285),∴qm2C2
增长后:
??285)qm1C1(420?370)?qm2C2(t2
qm1C1?(420?350)?285?t2?qm2C2,∴t2?320K
原来的传热温差:
?tm1??420?310??(370?285)?97.5K2
管长增长后:
?tm2??420?320??(350?285)?82.5K2
下标1为原来,2为增长后
?2qmC?t2320?285?2KA2?tm2A297.5???1.4??1.4?1.4??1.655?1qmC?t1310?285?KA1?tm1A82.5,1,1
l2?1.655l∵A?2?rl,1,故增长65.5%
(2)、并流时
qm1C1?0.5qm1C1(420?370)?qm2C2(310?285),qm2C2
增长后:
qm1C1(420?350)?qm2C2(t2?285),∴t2=320K
?tm?原来:
?420?285???370?310??92.5Kln420?285370?310
?tm?增长后:
?420?285???350?320??69.8Kln420?285350?320
A292.5?1.4??1.855A169.8
∴并流时换热器管长应增加85.5%
22、
??KA?tm
Q?????qmC?t?1000?2500(60?20)?100000000J
K??1?2800?10000W??740.72?1??2800?10000mK,
80?40?57.7K80ln40
?tm?一侧恒温,
??KA?tm?K?dl?tm
100000000?1800l???8.6mK?d?tm741?3.14?0.048?57.7
Q100000000??44.3kg? ℃饱和蒸汽的汽化热?H2258.3,??H??100QD?∴把10吨20℃的盐水加热到60℃,需饱和蒸汽44.3kg
2A?n?dl?13?3.14?0.022?2?1.8m23、求换热面积:
热量衡算:油释出热量=水吸收热量
qmC?T?qm1C1?t
16001400?2200(90?T2)??4200(t2?15)36003600 T2?115?1.67t2
?tm??90?t2???T2?15??105?T2?t2ln90?t2T2?15ln90?t2T2?15
(未完)
24、
KA?tm?qmC?t
400?5?100?20??(100?t2)2180?t2?2000?180000?1000t22
qmC?t?vA?C(t2?t1)?0.5?0.12?800?2000(t2?20)?9600t2?192000
180000?1000t2?9600t2?192000
解得t2=35.1℃
kJ25、冷凝放热量:Q?D?H?500?880000?440000
冷却放热量:
Q??qmCp?t?500?2800(78.5?30)?67900kJ
q?Q?Q?507900??141100J/S36003600
冷却水用量:
??qmCp??t?
qm??141100kg??1.68Cp?(35?15)4200?20S
67900kJ?18.93600S,
冷却段传热面积A2:
?2?15℃的水吸收q2的热量温度变为t2
?t??18900??2.68℃?qmCp4200?1.68
t2=t1+2.68=15+2.68=17.68℃ Δt1=T2-t2=78.5-17.68=60.82℃ Δt2=T3-t1=30-15=15℃
?tm?60.82?1545.82??32.7℃60.821.4ln15
K??1?2700?1000W??411.82?1??2700?1000mK
?218900??1.4m2K?tm411.8?32.7
A2?冷凝段传热面积A1:
?1?440000?122.2kJ/S3600
17.68℃的水吸收q1的热量温度变为t3=35℃
?tm?(78.5?17.68)?(78.5?35)17.32??51.7℃78.5?17.680.335ln78.5?35
K??1?23500?1000W??777.82?1??23500?1000mK
?1122200??3.04m2K?tm777.8?51.7 24?20?22?0.022m2
A1?dm?A=A1+A2=4.44m2