Influence of channel height on resistance characteristics in triangular grooved channel by pulsating flow

doi:10.11949/j.issn.0438-1157.20180473

Abstract

Abstract:

The flow resistance characteristics of the pulsating flow in the triangular channel with different plate spacings were studied with water as the working fluid. Based on the force balance equation, a mathematical model suitable for the pulsating flow pressure drop of the triangular channel is established to theoretically analyze the influencing factors of the flow resistance. Mathematical model shows that flow resistance is mainly affected by channel height and enstrophy. Flow resistance increases as channel height reduces, but increases with enstrophy. In addition, experiment and numerical research have been conducted to investigate correlation among channel height, enstrophy and flow resistance. The experimental results show that flow resistance becomes large as the channel height becomes short. What's more, when the ratio of channel height and groove depth is less than 1.0, the sharp rise of flow resistance occurs. And flow resistance increases ten fold compared with the state that the ratio of channel height and groove depth is more than 1.0. Otherwise, no matter how the channel height changes, resistance also increases with pulsating amplitude, and there exists a Womersley number for the highest flow resistance. The numerical results indicate that the reason why flow resistance changes dramatically as the channel height decreases is because flow field changes with the channel height. When the ratio of channel height and groove depth is more than 1.0, vortex is mainly located inside the triangle groove. Thus the wall of mainstream can be rarely affected. However, when the ratio of channel height and groove depth is less than 1.0, vortex in the triangle groove expands and gradually affects the area of mainstream. Hence the flow separation occurs near the wall of mainstream, which causes wave flow and eddy coexisting.

Key words: pulsating flow, flow resistance, channel height, model, experimental validation, numerical analysis

摘要：

以水为工质对不同板间距的三角槽道脉动流流动阻力特性进行了研究。基于受力平衡方程，建立了适用于三角槽道脉动流压降的数学模型，用于理论分析流动阻力的影响因素。通过实验测试与数值模拟，校验数学模型的合理性，并且对三角槽道脉动流流动阻力进行分析。结果表明，流动阻力主要受板间距、涡旋拟“能”两方面因素影响，且与板间距呈反比，与涡旋拟“能”呈正比；板间距的缩小，会使流动阻力增加，当缩小到板间距与槽深比值为1.0时，出现流动阻力的阶越式增长，上升1个数量级；造成流动阻力骤升的主要原因在于：随着板间距的缩小，流场结构逐渐变化，三角槽道内涡旋的影响区域由“三角槽内部”逐渐转变为“整个流道”，且主流区壁面出现流动分离，出现涡旋流动与波状流共存现象，使流动阻力大幅提升。

关键词: 脉动流, 流动阻力, 板间距, 模型, 实验验证, 数值分析

CLC Number:

TB126

HUANG Qi, SI Chao, ZHAO Chuangyao, ZHONG Yingjie. Influence of channel height on resistance characteristics in triangular grooved channel by pulsating flow[J]. CIESC Journal, 2018, 69(12): 4990-5000.

黄其, 斯超, 赵创要, 钟英杰. 板间距对三角槽道脉动流流动阻力的影响[J]. 化工学报, 2018, 69(12): 4990-5000.

References 40

[1]	张仲彬, 徐志明, 张兵强. 缩放管传热与污垢特性的实验研究[J]. 化工机械, 2008, 35(2):65-68. ZHANG Z B, XU Z M, ZHANG B Q. Experimental investigation on the heat transfer and fouling characteristic of convergent divergent tubes[J]. Chemical Engineering and Machinery, 2008, 35(2):65-68.
[2]	WANG Y, HE Y L, YANG W W, et al. Numerical analysis of flow resistance and heat transfer in a channel with delta winglets under laminar pulsating flow[J]. International Journal of Heat and Mass Transfer, 2015, 82:51-65.
[3]	林纬. 脉动流与壁面振动强化传热及除垢特性研究[D]. 武汉:武汉理工大学, 2015. LIN W. Research on heat transfer and fouling cleaning enhancement of pulsating flow and tube vibration[D]. Wuhan:Wuhan University of Technology, 2015.
[4]	MILLWARD H R, BELLHOUSE B J, SOBEY I J, et al. Enhancement of plasma filtration using the concept of the vortex wave[J]. Journal of Membrane Science, 1995, 100(2):121-129.
[5]	MILLWARD H R, BELLHOUSE B J, SOBEY I J. The vortex wave membrane bioreactor:hydrodynamics and mass transfer[J]. The Chemical Engineering Journal, 1996, 62(3):175-181.
[6]	HWU T H, SOBEY I J, BELLHOUSE B J. Observation of concentration dispersion in unsteady deflected flows[J]. Chemical Engineering Science, 1996, 51(13):3373-3390.
[7]	LEE B S, KANG I S, LIM H C. Chaotic mixing and mass transfer enhancement by pulsatile laminar flow in an axisymmetric wavy channel[J]. International Journal of Heat and Mass Transfer, 1999, 42(14):2571-2581.
[8]	NISHIMURA T, OKA N, YOSHINAKA Y, et al. Influence of imposed oscillatory frequency on mass transfer enhancement of grooved channels for pulsatile flow[J]. International Journal of Heat and Mass Transfer, 2000, 43(13):2365-2374.
[9]	NISHIMURA T, BIAN Y N, KUNITSUGU K. Mass-transfer enhancement in a wavy-walled tube by imposed fluid oscillation[J]. AIChE Journal, 2004, 50(4):762-770.
[10]	JIN D X, LEE Y P, LEE D Y. Effects of the pulsating flow agitation on heat transfer in a triangular grooved channel[J]. International Journal of Heat and Mass Transfer, 2007, 50(15/16):3062-3071.
[11]	MOHAMMAD J, MOUSA F, KUROSH S. Pulsating flow effects on convection heat transfer in a corrugated channel:a LBM approach[J]. International Communications in Heat and Mass Transfer, 2013, 45(7):146-154.
[12]	何雅玲, 杨卫卫, 赵春凤, 等. 脉动流动强化换热的数值研究[J]. 工程热物理学报, 2005, 26(3):495-497. HE Y L, YANG W W, ZHAO C F, et al. Numerical study on enhancing heat transfer by pulsating flow[J]. Journal of Engineering Thermophysics, 2005, 26(3):495-497.
[13]	杨卫卫, 何雅玲, 陶文铨, 等. 凹槽通道中脉动流动强化传质的数值研究[J]. 西安交通大学学报, 2004, 38(11):1119-1122. YANG W W, HE Y L, TAO W Q, et al. Numerical study on enhancing mass transfer in grooved channel by pulsating flow[J]. Journal of Xi'an Jiaotong University, 2004, 38(11):1119-1122.
[14]	谢公南, 王秋旺, 曾敏, 等. 渐扩渐缩波纹通道脉动流的传热强化[J]. 高校化学工程学报, 2006, 20(1):31-35. XIE G N, WANG Q W, ZENG M, et al. Heat transfer enhancement inside converging-diverging wavy channel by pulsating flow[J]. Journal of Chemical Engineering of Chinese Universities, 2006, 20(1):31-35.
[15]	贾宝菊, 孙发明, 卞永宁, 等. 波壁管内的脉动流动及传质强化的数值模拟[J]. 化工学报, 2009, 60(1):6-14. JIA B J, SUN F M, BIAN Y N, et al. Numerical simulation of pulsatile flow and mass transfer enhancement in a wavy-walled tube[J]. CIESC Journal, 2009, 60(1):6-14.
[16]	黄其, 王勋廷, 杨志超, 等. 有序涡旋对三角槽道脉动流传热的影响[J]. 化工学报, 2016, 67(9):3616-3624. HUANG Q, WANG X T, YANG Z C, et al. Influence of vortex on heat transfer enhancement in triangular grooved channel by pulsating flow[J]. CIESC Journal, 2016, 67(9):3616-3624.
[17]	钟英杰, 王勋廷, 黄其, 等. 基于场协同理论的脉动流传热机理探究[J]. 浙江工业大学学报, 2015, 43(2):180-184. ZHONG Y J, WANG X T, HUANG Q, et al. A study of heat transfer mechanism in a pulsating flow based on field synergy theory[J]. Journal of Zhejiang University of Technology, 2015, 43(2):180-184.
[18]	王勋廷. 基于场协同理论的脉动流传热机理研究和火积耗散评价[D]. 杭州:浙江工业大学, 2015. WANG X T. Study of heat transfer mechanism based on field synergy theory and entransy dissipation evaluation in a pulsating flow[D]. Hangzhou:Zhejiang University of Technology, 2015.
[19]	杨志超. 脉动流在三角槽道内强化传热的机理研究[D]. 杭州:浙江工业大学, 2013. YANG Z C. Mechanism of heat transfer enhancement in a triangular grooved channel for pulsating flow[D]. Hangzhou:Zhejiang University of Technology, 2013.
[20]	李思文. 脉动流场下涡运动规律的实验研究[D]. 杭州:浙江工业大学, 2012. LI S W. Experimental investigation on the vortex motion in the pulsating flow[D]. Hangzhou:Zhejiang University of Technology, 2012.
[21]	XU S L, WANG W J, FANG K, et al. Heat transfer performance of a fractal silicon microchannel heat sink subjected to pulsation flow[J]. International Journal of Heat and Mass Transfer, 2015, 81(81):33-40.
[22]	XU S L, YANG L L, LI Y, et al. Experimental and numerical investigation of heat transfer for two-layered microchannel heat sink with non-uniform heat flux condition[J]. Heat and Mass Transfer, 2016, 52(9):1755-1763.
[23]	XU S L, LI Y, HU X L, et al. Characteristics of heat transfer and fluid flow in a fractal multilayer silicon microchannel[J]. International Communications in Heat and Mass Transfer, 2016, 71:86-95.
[24]	XU S L, WU Y H, CAI Q Y, et al. Optimization of thermal performance of multilayer silicon microchannel heat sinks[J]. Thermal Science, 2016, 20(6):2001-2013.
[25]	YAN B H, GU H Y. Effect of rolling motion on the expansion and contraction loss coefficients[J]. Annals of Nuclear Energy, 2013, 53(53):259-266.
[26]	WANG C, GAO P Z, TAN S C, et al. Theoretical analysis of phase-lag in low frequency laminar pulsating flow[J]. Progress in Nuclear Energy, 2012, 58(1):45-51.
[27]	WANG C, GAO P Z, TAN S C, et al. Experimental study of friction and heat transfer characteristic in narrow rectangular channel[J]. Nuclear Engineering and Design, 2012, 250(3):646-656.
[28]	WANG C, GAO P Z, TAN S C, et al. Effect of aspect ratio on the laminar-to-turbulent transition in rectangular channel[J]. Annals of Nuclear Energy, 2012, 46(8):90-96.
[29]	WANG C, GAO P Z, WANG Z W, et al. Experimental study of transition from laminar to turbulent flow in vertical narrow channel[J]. Annals of Nuclear Energy, 2012, 47(47):85-90.
[30]	WANG C, GAO P Z, TAN S C, et al. Forced convection heat transfer and flow characteristics in laminar to turbulent transition region in rectangular channel[J]. Experimental Thermal and Fluid Science, 2013, 44(1):490-497.
[31]	贾力, 方肇洪. 高等传热学[M]. 北京:高等教育出版社, 2008. JIA L, FANG Z H. Advanced Heat Transfer[M]. Beijing:Higher Education Press, 2008.
[32]	童秉纲, 尹协远, 朱克勤. 涡运动理论[M]. 合肥:中国科学技术大学出版社, 2009. TONG B G, YIN X Y, ZHU K Q. Vortex Motion Theory[M]. Hefei:University of Science and Technology of China Press, 2009.
[33]	KANDLIKAR S G, SHAILESH J, SHURONG T. Effect of surface roughness on heat transfer and fluid flow character at low Reynolds numbers in small diameter tube[J]. Heat Transfer Engineering, 2003, 24(3):4-16.
[34]	KANDLIKAR S G, SCHMITT D, CARRANO A L, et al. Characterization of surface roughness effects on pressure drop in single-phase flow in mini channels[J]. Physics of Fluids, 2005, 17(10):100606.
[35]	CHIEN Y Y, JIUNN C W, HSIN C T, et al. Friction characteristics of water, R134a, and air in small tube[J]. Microscale Thermophysical Engineering, 2003, 7(4):335-348.
[36]	XU B, OOI K T, WONG N T, et al. Experimental investigation of flow friction for liquid flow in microchannels[J]. International Communications in Heat and Mass Transfer, 2000, 27(8):1165-1176.
[37]	陶文铨. 数值传热学[M]. 西安:西安交通大学出版社, 2001. TAO W Q. Numerical Heat Transfer[M]. Xi'an:Xi'an Jiaotong University Press, 2001.
[38]	王永庆, 董其伍, 刘敏珊. 混沌对流强化传热的场协同分析[J]. 郑州大学学报, 2011, 32(3):6-9. WANG Y Q, DONG Q W, LIU M S. Analysis of field synergy on heat transfer enhancement in chaotic advection[J]. Journal of Zhengzhou University, 2011, 32(3):6-9.
[39]	SOBEY I J. Observation of waves during oscillatory channel[J]. Journal of Fluid Mechanics, 1985, 151(151):395-426.
[40]	刘凤霞. 涡旋波流动特性及过程强化[D]. 大连:大连理工大学, 2009. LI F X. Hydrodynamic characteristics and process enhancement of vortex wave flow[D]. Dalian:Dalian University of Technology, 2009.