工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2013年
2期
197-204
,共8页
复变函数%广义不可逆卡诺制冷机%热弛豫%复数传热指数%制冷率%制冷系数
複變函數%廣義不可逆卡諾製冷機%熱弛豫%複數傳熱指數%製冷率%製冷繫數
복변함수%엄의불가역잡낙제랭궤%열이예%복수전열지수%제랭솔%제랭계수
complex function%generalized irreversible Carnot refrigerator%relaxation of heat transfer process%complex heat transfer exponent%cooling load%COP
本文利用复变函数方法研究了传热规律、热弛豫、内不可逆性和热漏对广义不可逆卡诺制冷机性能的影响,以复数传热指数的虚部表示传热过程的弛豫现象.结果表明传热规律对高、低温侧热导率比、制冷率和制冷系数有很大影响;传热过程的弛豫现象和制冷机内不可逆性对高、低温侧热导率比、制冷率和制冷系数有影响,但影响程度不大;热漏对高、低温侧热导率比影响不明显,对制冷率和制冷系数有较大影响.所得结果对实际制冷机的设计和使用具有理论指导作用.
本文利用複變函數方法研究瞭傳熱規律、熱弛豫、內不可逆性和熱漏對廣義不可逆卡諾製冷機性能的影響,以複數傳熱指數的虛部錶示傳熱過程的弛豫現象.結果錶明傳熱規律對高、低溫側熱導率比、製冷率和製冷繫數有很大影響;傳熱過程的弛豫現象和製冷機內不可逆性對高、低溫側熱導率比、製冷率和製冷繫數有影響,但影響程度不大;熱漏對高、低溫側熱導率比影響不明顯,對製冷率和製冷繫數有較大影響.所得結果對實際製冷機的設計和使用具有理論指導作用.
본문이용복변함수방법연구료전열규률、열이예、내불가역성화열루대엄의불가역잡낙제랭궤성능적영향,이복수전열지수적허부표시전열과정적이예현상.결과표명전열규률대고、저온측열도솔비、제랭솔화제랭계수유흔대영향;전열과정적이예현상화제랭궤내불가역성대고、저온측열도솔비、제랭솔화제랭계수유영향,단영향정도불대;열루대고、저온측열도솔비영향불명현,대제랭솔화제랭계수유교대영향.소득결과대실제제랭궤적설계화사용구유이론지도작용.
@@@@The effects of heat transfer law, relaxation effect on heat transfer, internal irre-versibility and bypass heat leak on the performance of a generalized irreversible Carnot refrig-erator were studied by using theory of complex function. The imaginary part of the complex heat transfer exponent indicated the relaxation of a heat transfer process. The obtained results show that the heat transfer laws have prominent influences on the heat conductance ratio of high and low temperature sides, cooling load and coe?cient of performance (COP); the relax-ation of a heat transfer process and the internal irreversibility have small influences on the heat conductance ratio of high and low temperature sides, cooling load and COP; the bypass heat leak has indistinctive influence on the heat conductance ratio of high and low temperature sides and has prominent influence on cooling load and COP. The obtained results can provide some theoretical guidance for the designs and application of real refrigerator.