变热特性参数条件下肋片温度周期性变化的传热研究*
Periodic Heat Transfer in the Fins with Variable Thermal Parameters
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摘要: 本文研究了变热特性参数下,根部温度作周期性变化的肋片传热情况.应用摄动法求解控制微分方程;并且采用打靶法和叠加原理进行数值计算,求解过程是嵌进的、非迭代的.对某种形状的肋片而言,当肋片根部温度作周期性变化时,其传热过程受以下几个参数的影响:E──导热系数的温度系数;N──肋片传热的特性参数;ε──温度波动的幅度参数;B──温度波动的频率;以及对流系数的变化模式等.文中给出了这些参数变化时对肋片的温度分布及热流率、肋效率等的影响情况.所得结果,不但具有理论价值,而且对工程设计也有现实指导意义.Abstract: A Study is made on the periodic heat transfer in the fins with variable thermal parameters. The method of small parameter perturbation is adopted. Numerical calculation is solved noniteratively by shooting method and superposition method. For afin of certain shape with periodic change of fin base temperature, the heat transfer is influenced by the.following parameters. E-temperature function in relation to coefficient of thermal co1ductivity.N-characteristic parameter of finned heat trat transfer, ε-amplitude parameter of temperature.fluctuation, B-frequency parameter of temperature.fluctuation of the.fin, and the changing pattern of convective coefficient. The influences of these parameters on temperalure distribution, heat-flow rate. and fin efficiency are discussed. In addition to theoretical significance, the results are of practical significonce for engineering design.
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Key words:
- variable thermal parameters /
- perturbation /
- principle of superposition
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[1] 杨翔翔、何宏舟,肋片温度周期变化的传热研究,中国工程热物理学会1993年学术年会征文(1993). [2] A,Aziz and T,Y,IVa,Periodic heat-transfer in fins with variable thermal parameters,Tournal of Heat&Mass Transfer,Q4(8)(1981),1397-1404. [3] T.Y,Na,Computational Methods in Engineering Boundary Yalue Problems,Academic Press,New York(1979),13-28. [4] M,K,lain,Numerical Solutions of Differential Equations,Halstaed Press(1979),77-81 [5] 郭大钧等,《大学数学手册》,山东科学技术出版社(1985),180-195. -
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