Natural convection heat transfer from horizontal offset elliptic tube based on holographic interferometry

doi:10.11949/j.issn.0438-1157.20151327

Abstract

Abstract:

Natural convection heat transfer from a horizontal offset elliptic tube is experimentally investigated using holographic interferometry. The effect of the ellipse major axis from horizontal to vertical direction on heat transfer is analyzed. Interferometric fringes of the tube in infinite space at different inclination angles 0°—90° are recorded. The local and average Nusselt numbers are determined according to the reconstruction of the temperature field around the tube. The experimental results indicate that the heat transfer increases with the ellipse major axis inclined from horizontal to vertical direction. The local Nusselt numbers above the tube is the minimum and the maximum is located near the major axis when the direction of the major axis are horizontal and vertical. The results obtained in this investigation show good agreement with the existing experimental and numerical studies, which can contribute to the optimal design of heat exchanger and also provide a test method for engineering applications.

Key words: laminar flow, natural convection, heat transfer, elliptic tube, holographic interferometry

摘要：

采用全息术实验研究水平偏置椭圆管层流自然对流换热,分析了长轴从水平方向到竖直方向不同角度的换热规律,记录了无限大空间水平椭圆管偏置角为0°~90°的干涉图,通过反演椭圆管周围的温度场得到了椭圆管表面的局部和平均Nusselt数。实验结果表明,长轴从水平位置偏置到竖直位置时,换热逐渐增强;长轴位于水平位置和竖直位置时,换热最小值均位于椭圆管上方,最大值则位于椭圆管长轴附近。研究结果与文献中已有的数值和实验结果吻合较好,可为今后热管换热器的设计提供优化方向,也可为工程应用提供检测方法。

关键词: 层流, 自然对流, 换热, 椭圆管, 全息干涉

CLC Number:

ZHU Jinrong, DAI Jinmei, CHENG Xiaomin, ZHANG Jinye, CHENG Chunfu. Natural convection heat transfer from horizontal offset elliptic tube based on holographic interferometry[J]. CIESC Journal, 2016, 67(4): 1145-1149.

朱进容, 代金梅, 程晓敏, 张金业, 成纯富. 基于全息术的水平偏置椭圆管自然对流换热[J]. 化工学报, 2016, 67(4): 1145-1149.

References 22

[1]	明廷臻, 党艳辉, 刘伟, 等. 椭圆管矩形翅片空冷器流体流动与传热特性数值分析[J]. 化工学报, 2009, 60(6): 1380-1384. MING T Z, DANG Y H, LIU W, et al. Numerical analysis of fluid flow and heat transfer characteristics of elliptic tube with rectangular fins of air cooler[J]. CIESC Journal, 2009, 60(6): 1380-1384.
[2]	WU J M, TAO W Q. Numerical computation of laminar natural convection heat transfer around a horizontal compound tube with external longitudinal fins[J]. Heat Transfer Engineering, 2007, 28 (2): 93-102. DOI: 10.1080/01457630601023294.
[3]	ASHJAEE M, BIGHAM S, YAZDANI S. A numerical study on natural convection heat transfer from a horizontal isothermal cylinder located underneath an adiabatic ceiling[J]. Heat Transfer Engineering, 2014, 35(10): 953-962. DOI: 10.1080/01457632. 2014.859878.
[4]	SEBASTIAN G, SHINE S R. Natural convection from horizontal heated cylinder with and without horizontal confinement[J]. International Journal of Heat and Mass Transfer, 2015, 82: 325-334. DOI: 10.1016/j.ijheatmasstransfer.2014.11.063.
[5]	MEMORY S B, ADAMS V H, MARTO P J. Free and forced convection laminar film condensation on horizontal elliptical tubes[J]. International Journal of Heat and Mass Transfer, 1997, 40(14): 3395-3406. DOI: 10.1016/S0017-9310(96)00374-2.
[6]	BADR H M. Laminar natural convection from an elliptic tube with different orientations[J]. Journal of Heat Transfer, 1997, 119(4): 709-718. DOI: 10.1115/1.2824175.
[7]	MAHFOUZ F M, KOCABIYIK S. Transient numerical simulation of buoyancy driven flow adjacent to an elliptic tube[J]. International Journal of Heat and Fluid Flow, 2003, 24(6): 864-873. DOI: 10.1016/S0142-727X(03)00091-2.
[8]	CORCIONE M, HABIB E. Multi-Prandtl correlating equations for free convection heat transfer from a horizontal tube of elliptic cross-section[J]. International Journal of Heat and Mass Transfer, 2009, 52(5/6): 1353-1364. DOI:10.1016/j.ijheatmasstransfer. 2008.07.049.
[9]	LIAO C C, LIN C A. Influences of a confined elliptic cylinder at different aspect ratios and inclinations on the laminar natural and mixed convection flows[J]. International Journal of Heat and Mass Transfer, 2012, 55(23/24): 6638-6650. DOI: 10.1016/j. ijheatmasstransfer. 2012.06.073.
[10]	ELSAYED A O, IBRAHIM E Z, ELSAYED S A. Free convection from a constant heat flux elliptic tube[J]. Energy Conversion and Management, 2003, 44(15): 2445-2453. DOI: 10.1016/S0196-8904(03)00002-5.
[11]	DEMIR H. Experimental and numerical studies of natural convection from horizontal concrete cylinder heated with a cylindrical heat source[J]. International Communications in Heat and Mass Transfer, 2010, 37(4): 422-429. DOI: 10.1016/j.icheatmasstransfer. 2009.11.010.
[12]	MAUGER C, MEES L, MICHARD M, et al. Shadowgraph, schlieren and interferometry in a 2D cavitating channel flow[J]. Experiments in Fluids, 2012, 53(6): 1895-1913. DOI: 10.1007/s00348-012-1404-3.
[13]	AHADI A, SAGHIR M Z. An extensive heat transfer analysis using Mach Zehnder interferometry during thermodiffusion experiment on board the International Space Station[J]. Applied Thermal Engineering, 2014, 62(2): 351-364. DOI: 10.1016/j.applthermaleng. 2013.09.048.
[14]	NAYLOR D. Recent developments in the measurement of convective heat transfer rates by laser interferometry[J]. International Journal of Heat and Fluid Flow, 2003, 24(3): 345-355. DOI: 10.1016/S0142-727X(03)00021-3.
[15]	SINGH P, FARIDI M S, SHAKHER C. Measurement of temperature of an axisymmetric flame using shearing interferometry and Fourier fringe analysis technique[J]. Optical Engineering, 2004, 43(2): 387-392. DOI: 10.1117/1.1635370.
[16]	LV W, ZHOU H C, ZHU J R. Implementation of tridirectional large lateral shearing displacement interferometry in temperature measurement of a diffused ethylene flame[J]. Applied Optics, 2011, 50(21): 3924-3936. DOI: 10.1364/AO.50.003924.
[17]	朱进容, 吕伟, 周怀春. 横向大剪切干涉应用于水平圆管自然对流换热[J]. 化工学报, 2012, 63(10): 3034-3039. DOI: 10.3969/j.issn.0438-1157.2012.10.004. ZHU J R, LÜ W, ZHOU H C. Natural convection heat transfer of horizontal cylinder with lateral shearing interferometry[J]. CIESC Journal, 2012, 63(10): 3034-3039. DOI: 10.3969/j.issn.0438-1157. 2012.10.004.
[18]	ZHU J R, DAI J M, CHENG X M, et al. Temperature measurement of a horizontal cylinder in natural convection using a lateral shearing interferometer with a large shear amount[J]. Optical Engineering, 2015, 54(3): 034109-1-034109-8. DOI: 10.1117/1.OE.54.3.034109.
[19]	ASHJAEE M, AMIRI M, Baghapour B, et al. An empirical correlation for natural convection from confined elliptic cylinder[J]. Experimental Heat Transfer, 2007, 20(3): 213-228. DOI: 10.1080/08916150701229675.
[20]	YOUSEFIA T, ASHJAEE M. Experimental study of natural convection heat transfer from vertical array of isothermal horizontal elliptic cylinders[J]. Experimental Thermal and Fluid Science, 2007, 32(1): 240-248. DOI: 10.1016/j.expthermflusci.2007.04.001.
[21]	CHEN Y M, WANG K C. Numerical and experimental studies on natural convection from a horizontal elliptic cylinder[J]. Journal of the Chinese Institute of Chemical Engineers, 1996, 27(5): 353-362.
[22]	HUANG S Y, MAYINGER F. Heat transfer with natural convection around elliptic tubes[J]. Warme-Und Stoffubertragung, 1984, 18: 175-183., 2009, 60(6): 1380-1384. DOI:10.3321/j.issn:0438-1157.2009.06.007. MING T Z, DANG Y H, LIU W, et al. Numerical analysis of fluid flow and heat transfer characteristics of elliptic tube with rectangular fins of air cooler[J]. CIESC Journal, 2009, 60(6): 1380-1384. DOI: 10.3321/j.issn:0438-1157.2009.06.007.
[2]	WU J M, TAO W Q. Numerical computation of laminar natural convection heat transfer around a horizontal compound tube with external longitudinal fins[J]. Heat Transfer Engineering, 2007, 28 (2): 93-102. DOI: 10.1080/01457630601023294.
[3]	ASHJAEE M, BIGHAM S, YAZDANI S. A numerical study on natural convection heat transfer from a horizontal isothermal cylinder located underneath an adiabatic ceiling[J]. Heat Transfer Engineering, 2014, 35(10): 953-962. DOI: 10.1080/01457632.2014.859878.
[4]	SEBASTIAN G, SHINE S R. Natural convection from horizontal heated cylinder with and without horizontal confinement[J]. International Journal of Heat and Mass Transfer, 2015, 53(5): 325-334. DOI: 10.1016/j.ijheatmasstransfer.2014.11.063.
[5]	MEMORY S B, ADAMS V H, MARTO P J. Free and forced convection laminar film condensation on horizontal elliptical tubes[J]. International Journal of Heat and Mass Transfer, 1997, 40(14): 3395-3406. DOI: 10.1016/S0017-9310(96)00374-2.
[6]	BADR H M. Laminar natural convection from an elliptic tube with different orientations[J]. Journal of Heat Transfer, 1997, 119(4): 709-718. DOI: 10.1115/1.2824175.
[7]	MAHFOUZ F M, KOCABIYIK S. Transient numerical simulation of buoyancy driven flow adjacent to an elliptic tube[J]. International Journal of heat and fluid flow, 2003, 24(6): 864-873. DOI: 10.1016/S0142-727X(03)00091-2.
[8]	CORCIONE M, HABIB E. Multi-Prandtl correlating equations for free convection heat transfer from a horizontal tube of elliptic cross-section[J]. International Journal of Heat and Mass Transfer, 2009, 52(5-6): 1353-1364.DOI:10.1016/j.ijheatmasstransfer.2008.07.049
[9]	LIAO C C, LIN C A. Influences of a confined elliptic cylinder at different aspect ratios and inclinations on the laminar natural and mixed convection flows[J]. International Journal of Heat and Mass Transfer, 2012, 55(23-24): 6638-6650. DOI: 10.1016/j.ijheatmasstransfer.2012.06.073.
[10]	ELSAYED A O, Ibrahim E Z, Elsayed S. A. Free convection from a constant heat flux elliptic tube[J]. Energy Conversion and Management, 2003, 44(15): 2445-2453. DOI: 10.1016/S0196-8904(03)00002-5.
[11]	DEMIR H. Experimental and numerical studies of natural convection from horizontal concrete cylinder heated with a cylindrical heat source[J]. International Communications in Heat and Mass Transfer, 2010, 37(4): 422-429. DOI: 10.1016/j.icheatmasstransfer.2009.11.010.
[12]	MAUGER C, MEES L, MICHARD M, et al. Shadowgraph, schlieren and interferometry in a 2D cavitating channel flow[J]. Experiments in Fluids, 2012, 53(6): 1895-1913. DOI: 10.1007/s00348-012-1404-3.
[13]	AHADI A, SAGHIR M Z. An extensive heat transfer analysis using Mach Zehnder interferometry during thermodiffusion experiment on board the International Space Station[J]. Applied Thermal Engineering, 2014, 62(2): 351-364. DOI: 10.1016/j.applthermaleng.2013.09.048.
[14]	NAYLOR D. Recent developments in the measurement of convective heat transfer rates by laser interferometry[J]. International Journal of Heat and Fluid Flow, 2003, 24(3): 345-355. DOI: 10.1016/S0142-727X(03)00021-3.
[15]	SINGH P, FARIDI M S, SHAKHER C. Measurement of temperature of an axisymmetric flame using shearing interferometry and Fourier fringe analysis technique[J]. Optical Engineering, 2004, 43(2): 387-392. DOI: 10.1117/1.1635370.
[16]	LV W, ZHOU H C, ZHU J R. Implementation of tridirectional large lateral shearing displacement interferometry in temperature measurement of a diffused ethylene flame[J]. Applied Optics, 2011, 50(21): 3924-3936. DOI: 10.1364/AO.50.003924.
[17]	朱进容, 吕伟, 周怀春. 横向大剪切干涉应用于水平远观自然对流换热[J]. 化工学报, 2012, 63(10): 3034-3039. DOI: 10.3969/j.issn.0438-1157.2012.10.004. ZHU J R, LV W, ZHOU H C. Natural convection heat transfer of horizontal cylinder with lateral shearing interferometry[J]. CIESC Journal, 2012, 63(10): 3034-3039. DOI: 10.3969/j.issn.0438-1157.2012.10.004.
[18]	ZHU J R, DAI J M, CHENG X M, et al. Temperature measurement of a horizontal cylinder in natural convection using a lateral shearing interferometer with a large shear amount[J]. Optical Engineering, 2015, 54(3): 034109-1-034109-8. DOI: 10.1117/1.OE.54.3.034109.
[19]	ASHJAEE M, AMIRI M, Baghapour B, et al. An empirical correlation for natural convection from confined elliptic cylinder[J]. Experimental Heat Transfer, 2007, 20(3): 213-228. DOI: 10.1080/08916150701229675.
[20]	YOUSEFIA T, ASHJAEE M. Experimental study of natural convection heat transfer from vertical array of isothermal horizontal elliptic cylinders[J]. Experimental Thermal and Fluid Science, 2007, 32(1): 240-248. DOI: 10.1016/j.expthermflusci.2007.04.001.
[21]	CHEN Y M, WANG K C. Numerical and experimental studies on natural convection from a horizontal elliptic cylinder[J]. Journal of the Chinese Institute of Chemical Engineers, 1996, 27(5): 353-362.
[22]	HUANG S Y, MAYINGER F. Heat transfer with natural convection around elliptic tubes[J]. Warme-Und Stoffubertragung, 1984, 18: 175-183.