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題名 | Analysis on Transient Thermal Stresses in a Spiral Fin with Its Base Subjected to a Constant Heat Flux |
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作者 | 邱正智; | 書刊名 | 黃埔學報 |
卷期 | 40 2001.01[民90.01] |
頁次 | 頁261-281 |
分類號 | 446.11 |
關鍵詞 | 暫態熱應力; Transient thermal stresses; A spiral fin; A constant heat flux; Temperature distribution; Thermal stresses distribution; |
語文 | 英文(English) |
英文摘要 | The equipment of fins can increase the areas of heat-rejection and promote the efficiency of heat transfer. The transient thermal stresses of fins are an important consideration in production processes involving large temperature changes. The theoretical study of the heat flow within finned heat exchangers is of considerable practical importance because of the extensive utilization of finned surface for heat transfer enhancement in applications varying from air-cooled heat exchangers in the process industries to heat rejection equipment in space vehicles. Thermal stresses have also become significant in design problems related to microelectronic devices through their effects on material properties and system parameters. This article investigates the transient thermal stresses in a spiral fin with its base subjected to a constant heat flux. In order to obtain the solutions of the governing equations, which involve partial differential equation, the following procedures of analysis are performed: 1. Normalize the governing partial differential equation subjected to appropriate initial and boundary conditions for the temperature field. 2. Take the Laplace transform of the resulting equation with respect to time. 3. Utilize the exponential-like solutions introduced by H.B. Keller and J. B. Keller to solve the transformed system. 4. Achieve the inverse Laplace transform by means of complex contour integration and the residue theorem to obtain the temperature distribution function. 5. Substitute the temperature distribution function into the governing equations of thermal stresses. Then use Simpson's rule to obtain the thermal stresses distribution as a function of time and position of the fin. 6. Typical results in t he form of graphs and table are also presented. |
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