本文擬以數值逆算法及商業計算流體力學軟體配合實驗量測溫度來預測不同型式之熱沉在不同外界風速下的熱傳特性。由於本文所探討之熱沉內的鰭片間距甚小，欲使用熱電偶計量測鰭片內部溫度並不容易，因此本文藉由量取熱沉底下之標準測試件的內部溫度後，利用逆算法預測標準測試件之表面溫度及熱通量，而後將其轉換為鰭片的散熱量，進而估算出 值。本文逆算法之優點在於進行逆算法前，不需事先假設一未知多項式。為了使本研究更加完整，本文乃以計算流體力學軟體模擬本實驗架構，來求得熱傳及流體流動之特性，欲驗證商業軟體之數值結果的正確性，其熱傳係數將和反算結果及時下經驗公式相比較，結果顯示，本文之逆算法具有高度準確性。

The present study applies the numerical and inverse methods in conjunction with the experimental temperature data to determine the heat transfer and fluid flow characteristics of the heat sink for natural convection and force convection. Fin base temperature, ambient air temperature and air velocity are measured from the present experimental apparatus conducted in a small wind tunnel. The functional forms do not need to be assumed in advance. The appropriate polynomial function can be obtained from the experimental temperature data. Later, the present inverse scheme in conjunction with the experimental temperature data is applied to determine the heat transfer coefficient. The heat transfer and fluid flow characteristics are obtained by the computational fluid dynamics commercial software of FLUENT. The results show that the present results are in good agreement with the computational results.

[1] C.R. Biber. Pressure drop and heat transfer in an isothermal channel with impinging flow. IEEE Trans. Components Pack. Manuf. Technol. 1997;20:458–462.

[2] S.A.El-Sayed, S.M. Mohamed, A.M. Abdel-latif, A.E. bouda. Investigation of turbulent heat transfer and fluid flow in longitudinal rectangular-fin arrays of different geometries and shrouded fin array. Exp. Therm. Fluid Sci 2002;26: 879–900.

[3] E.A.M. Elshafei, Effect of flow bypass on the performance of a shrouded longitudinal fin array. Appl. Thermal Eng 2009;27: 2233-42.

[4] E.M. Sparrow, B.R. Baliga. S.V. Patankar, Forced convection heat transferfrom a shrouded fin array with and without tip clearance. ASME J. Heat Transfer 1978;100: 572–579.

[5] E.M. Sparrow, D.S. Kadle. Effect of tip-to-shroud clearance on turbulent heat transfer from a shrouded, longitudinal fin array, ASME J. Heat Transfer 1986;108: 519–524.

[6] D.E. Metzger, C.S. Fan, S.W. Haley. Effects of pin shape and array orientation on heat transfer and pressure loss in pin fin arrays. J. Eng.Gas Turbines Power 1984;106:252–257.

[7] B.A. Jubran, M.A. Hamdan, R.M. Abdualh. Enhanced heat transfer, missing pin, and optimization for cylindrical pin fin arrays. ASME J.Heat Transfer 1993;115: 576–583.

[8] M.A. Tahat, R.F. Babus’Haq, S.D. Probert. Forced steady-state convections from pin-fin arrays. Appl. Eng. 1994;48:335–351

[9] M. Tahat, Z.H. Kodah, B.A. Jarrah, S.D. Probert, Heat transfer from pin-fin arrays experiencing forced convection, Appl. Eng 2000;67: 419–442.

[10] R.F. Babus’Haq, K. Akintunde, S.D. Probert. Thermal performance of a pin-fin assembly. Int. J. Heat Fluid Flow 1995;16:50–55.

[11] D. Kim, S.J. Kim, A. Ortega. Compact modeling of fluid flow and heat transfer in pin fin heat sinks. ASME J. Electron 2004;26:342–350.

[12] Jeng TM. A porous model for the square pin-fin heat sink situated in a rectangular channel with laminar side-bypass flow. Int J Heat Mass Transfer 2008;51:2214–26.

[13] Yu XL, Feng QK, Liu QP. Research on the heat transfer and flow performance of a composite heat sink. J Xi’an Jiaotong Univ 2003;37(4):670–3 [in Chinese].

[14] Yu XL, Feng QK, Feng JM. Research on thermal performance of plate-pin fin heat sink. J Xi’an Jiaotong Univ 2004;38(11):1114–8 [in Chinese].

[15] Yu XL, Feng JM, Feng QK, Wang QW. Development of a plate-pin fin heat sink and its performance comparisons with a plate fin heat sink. Appl Therm Eng 2005;25:173–82

[16] Zhao YH, Chai CX, Luo ZM. Numerical simulation study on heat transfer characteristics of plate-pin fin oil cooler. Des Manufact Diesel Engine 2005;14(4):13–5 [in Chinese]

[17] YT Yang, HS Peng , Investigation of planted pin fins for heat transfer enhancement in plate fin heat sink.Microelectronics Reliability 2009;49:163-169.

[18] H.T. Chen, H.C. Wang. Estimation of heat-transfer characteristics on a rectangular fin under wet conditions. Int. J. Heat Mass Transfer 2008;51:2123-38.

[19] D. Kim, S.J. Kim. Compact modeling of fluid flow and heat transfer in straight fin heat sinks. ASME J. Electron.Packag.2004;126: 247–255.

[20] F. Kreith and M.S Bohn. Principles of heat transfer, 5th ed., west Publishing Company 1993; Chapter5:349-350.

[21] O.N Sara, S. Yaplcl, M. Ytlmaz. Second law analysis of ractangular channels with square pin-fins. Int. Comu. Heat Mass ransfer;28:617-630

[22] Muchael E. Lyall. Heat Transfer From Low Aspect Ratio Pin Fins. 2006;Chapter 2:12-14