本文以數值逆算法及商業計算流體力學軟體配合實驗量測數據溫度，探討矩形外殼在不同傾斜角度與開孔模式時其溫度與流場分布。本文藉由量測標準試件內部溫度，利用逆算法預測其表面溫度及紐賽爾數(Nusselt number)，此逆算法優點在於不需要任何疊代與初始猜測值。而後本文亦將使用計算流體力學軟體模擬本實驗架構，模擬密閉矩形外殼及開孔矩形外殼之溫度場和流場分布情形。最後本文將逆算法和計算流體力學軟體之結果相比較，結果顯示，本文之逆算法具有高準確性

This study use the inverse method and commercial software with the experimental data to research the flow structure and temperature distribution in the inclined rectangular enclosure. In the different case with various inclined angle, height and openings, obtaining the change of flow structure and temperature distribution and discuss it. In order to verify the reliability of the inverse method in present study, the present study will compare results of inverse method with reference [6-8], using the FLUENT with results of inverse method and experimental data to simulate the flow structure and temperature distribution in the inclined rectangular enclosure. Due to Rayleigh number is lower than criteria of turbulent in the inclined rectangular enclosure, the laminar mode will used in the simulation in the present study. Besides, Nusselt number of hot wall correlation in various inclined angle are compared with experimental results. In the some case the result of correlation have a little gap to the experimental results, however, still in the moderate range. From the simulation results of steady, the present study find that the openings are more important of convection in the enclosure than changing inclined angle.

[1]Y. Mori, Y. Uchida, Forced convective heat transfer between horizontal flat plates. International Journal of Heat and Mass Transfer 9(8), pp. 803-817, 1966.
[2]M. Akiyama, G.J. Hwang, K.C. Cheng, Experiments on the onset of longitudinal vortices in laminar forced convection between horizontal plates. Journal of Heat Transfer 93(4), pp. 335-341, 1971.
[3]D.M. Kim, R. Viskanta, Study of the effects of wall conductance on natural convection in differently oriented square cavities. Journal of Fluid Mechanics 144, pp. 153-176, 1984.
[4]K.R. Randall, J.W. Mitchell, M.M. El-Wakil, Natural convection heat transfer characteristics of flat plate enclosures. Journal of Heat Transfer 101(1), pp. 120-125, 1979.
[5]B.A. Meyer, J.W. Mitchell, M.M. El-Wakil, The effect of thermal wall properties on natural convection in inclined rectangular cells. Journal of Heat Transfer 104(1), pp. 111-117, 1982.
[6]K.G.T. Hollands, T.E Unny, G.D. Raithby, L. Konicek, Free convective heat transfer across inclined air layers. Journal of Heat Transfer 98(2), pp. 189-193, 1976.
[7]K.G.T. Hollands, Multi-Prandtl number correlation equations for natural convection in layers and enclosures. International Journal of Heat and Mass Transfer 27(3), pp. 466-468, 1984.
[8]S.M. ElSherbiny, G.D. Raithby, K.G.T. Hollands, Heat transfer by natural convection across vertical and inclined air layers. Journal of Heat Transfer 104(1), pp. 96-102, 1982.
[9]S.M. ElSherbiny, K.G.T. Hollands, G.D. Raithby, Effect of thermal boundary conditions on natural convection in vertical and inclined air layers. Journal of Heat Transfer 104(3), pp. 515-520, 1982.
[10]G. De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution. International Journal for Numerical Methods in Fluids 3(3), pp. 249-264, 1983.
[11]H. Mlaouah, T. Tsuji, Y. Nagano, A study of non-Boussinesq effect on transition of thermally induced flow in a square cavity. International Journal of Heat and Fluid Flow 18(1), pp. 100-106, 1997.
[12]A. Koca, Numerical analysis of conjugate heat transfer in a partially open square cavity with a vertical heat source. International Communications in Heat and Mass Transfer 35(10), pp. 1385-1395, 2008.
[13]M.Montiel Gonzalez, J. Hinojosa Palafox, and C.A. Estrada, Numerical study of heat transfer by natural convection and surface thermal radiation in an open cavity receiver. Solar Energy 86(4), pp. 1118-1128, 2012
[14]C. Balaji, M. Hölling, H. Herwig, Nusselt number correlations for turbulent natural convection flows using asymptotic analysis of the near-wall region. Journal of Heat Transfer 129(8), pp. 1100-1105, 2006.
[15]S.G. Martyushev, M.A. Sheremet, Conjugate natural convection combined with surface thermal radiation in an air filled cavity with internal heat source. International Journal of Thermal Sciences 76(0), pp. 51-67, 2014.
[16]W.G. Brown, K.R. Solvason, Natural convection through rectangular openings in partitions—1: Vertical partitions. International Journal of Heat and Mass Transfer 5(9), pp. 859-868, 1962.
[17]E. Bilgen, H. Oztop, Natural convection heat transfer in partially open inclined square cavities. International Journal of Heat and Mass Transfer 48(8), pp. 1470-1479, 2005.
[18]K.C. Karki, P.S. Sathyamurthy, S.V. Patankar, Natural convection in a partitioned cubic enclosure. Journal of Heat Transfer 114(2), pp. 410-417, 1992.
[19]I. Catton, Effect of wall conduction on the stability of a fluid in a rectangular region heated from below. Journal of Heat Transfer 94(4), pp. 446-452, 1972.
[20]E. Yu, Y. Joshi, A numerical study of three-dimensional laminar natural convection in a vented enclosure. International Journal of Heat and Fluid Flow 18(6), pp. 600-612, 1997.
[21]H.T. Chen, J.Y. Lin, Hybrid laplace transform technique for non-linear transient thermal problems. International Journal of Heat and Mass Transfer 34(4–5), pp. 1301-1308, 1991.
[22]H.T. Chen, J.Y. Lin, Numerical analysis for hyperbolic heat conduction. International Journal of Heat and Mass Transfer 36(11), pp. 2891-2898, 1993.
[23]H.T. Chen, J.Y. Lin, Analysis of two-dimensional hyperbolic heat conduction problems. International Journal of Heat and Mass Transfer 37(1), pp. 153-164, 1994.
[24]H.T. Chen, J.Y. Lin, Application of the hybrid method to transient heat conduction in one-dimensional composite layers. Computers & Structures 39(5), pp. 451-458, 1991.
[25]H.T. Chen, S.Y. Lin, L.C. Fang, Estimation of surface temperature in two-dimensional inverse heat conduction problems. International Journal of Heat and Mass Transfer 44(8), pp. 1455-1463, 2001.
[26]H.T. Chen, S.Y. Lin, L.C. Fang, Estimation of two-sided boundary conditions for two-dimensional inverse heat conduction problems. International Journal of Heat and Mass Transfer 45(1), pp. 15-23, 2002.
[27]H.T. Chen, X.Y. Wu, Estimation of heat transfer coefficient in two-dimensional inverse heat conduction problems. Numerical Heat Transfer, Part B: Fundamentals 50(4), pp. 375-394, 2006.
[28]H.T. Chen, X.Y. Wu, Investigation of heat transfer coefficient in two-dimensional transient inverse heat conduction problems using the hybrid inverse scheme. International Journal for Numerical Methods in Engineering 73(1), pp. 107-122, 2008.
[29]林敬浤,傾斜矩形密閉空間內之自然對流的實驗和數值研究. 國立成功大學機械系, 2013.
[30]M. Rahman, M.A.R. Sharif, Numerical study of laminar natural convection in inclined rectangular enclosures of various aspect ratios. Numerical Heat Transfer, Part A: Applications 44(4), pp. 355-373, 2003.
[31]K.S. Chen, A.C. Ku, C.H. Chou, Investigation of natural convection in partially divided rectangular enclosures both with and without an opening in the partition plate: Measurement results. Journal of Heat Transfer 112(3), pp. 648-652, 1990.
[32]F.J. Hamady, J.R. Lloyd, H.Q. Yang, K.T. Yang, Study of local natural convection heat transfer in an inclined enclosure. International Journal of Heat and Mass Transfer, 32(9), pp. 1697-1708, 1989.
[33]A.A. Dehghan, M. Behnia, Combined Natural convection–conduction and radiation heat transfer in a discretely heated open cavity. Journal of Heat Transfer 118(1), pp. 56-64, 1996.
[34]G. Jilani, S. Jayaraj, K. Khadar, Numerical analysis of free convective flows in partially open enclosure. Heat and Mass Transfer 38(3), pp. 261-270, 2002.
[35]G. Desrayaud, G. Lauriat, A numerical study of natural convection in partially open enclosures with a conducting side-wall. Journal of Heat Transfer, 126(1), pp. 76-83, 2004.
[36]B. Calcagni, F. Marsili, M. Paroncini, Natural convective heat transfer in square enclosures heated from below. Applied Thermal Engineering 25(16), pp. 2522-2531, 2005.
[37]M.A.R. Sharif, T.R. Mohammad, Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls. International Journal of Thermal Sciences 44(9), pp. 865-878, 2005.