内螺纹肋管流动与传热的特性研究
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摘要
内螺纹肋管是一种被广泛应用的强化传热管。本文通过数值模拟的方法,研究内螺纹肋管和中心被堵内螺纹肋管的流动与传热规律。肋参数范围:无量纲肋高H为0.02~0.06,肋数N为35~50条,螺旋角γ为35°~45°。分析肋高、肋数、螺旋角变化对努塞尔数Nu和阻力系数f的影响,并通过实验验证。对中心被堵内螺纹肋管进行数值模拟,中心堵管与外管内径比d/D的范围为0.2~0.5,分析中心堵管管径变化对流动与传热的影响。主要结论如下:
1、随着螺旋角的增大,Nu和f均先增大后减小,在螺旋角为41°时,Nu达到最大,在螺旋角为39°时,f达到最大。内螺纹肋管Nu数与光管Nup数的比值Nu/Nu p=1.51～1.71,评价指标采用η=(j/jP)/(f/fP)1/3 ,η= 1.15～1.28。
2、随肋数N的增加,Nu和f的变化都不大。Nu/Nu p的变化范围为Nu/Nup = 1.71～1.73,评价指标的范围在η= 1.279～1.281。
3、随肋高的增加,Nu和f都有较大增加, Nu/Nu p随着肋高H(0.02~0.05)增加而单调递增, Nu/Nup的变化范围为1.59～1.83,评价指标的值为η= 1.24～1.30。
4、通过对计算结果的分析,在所选择的肋几何参数范围内,最佳肋参数为0.50/40/41。
5、对于中心被堵内螺纹肋管,当d/D在0.35~0.4之间变化时,Nu数增大的梯度很大,而f增大的梯度相对较小。
6、对于中心被堵内螺纹肋管,η随着d/D的增大而增大,当d/D在0.2~0.5之间变化时,评价指标的值为1.57~2.05。
As an effective configuration for heat transfer enhancement, the internally helical finned tube is widely employed. This paper provides heat transfer and friction characteristics of the internally helical finned tube in numerical and experimental investigation, the internally helical finned tubes were measured during fin geometry ranges of non-dimensional rib height(0.02 to 0.05), number of rib starts(35 to 50),helix angle(35 to 45deg).Analysing the impact of fin number,fin height and helix angle on the Nusselt number and the friction factor,then experiments verify the numerical results . Analysing the impact of non-dimensional radius(0.2~0.5) on the Nusselt number and the friction factor of the internally helical finned tube with center blocked in numerical investigation.The major findings are as follows:
1. The Nusselt number and the friction factor increase first,then decrease with the increase in helix angle. whenγ=41°,Nu is peak, whenγ=41°,f is peak.The ratio of the internally helical finned tube Nu number to the plain tube Nup is written Nu/Nu p, Nu/Nu p=1.51~1.71,the values of evaluation indexη=(j/jP)/(f/fP)1/3isη1.15~1.28.
2. The number of rib starts variation causes a little increase the Nusselt number and the friction factor. The values of Nu/Nu paugment with the increase in the number of rib starts (35~50), Nu/Nup = 1.71～1.73,andη=1.279～1.281.
3. The fin height variation causes a dramatic increase of the Nusselt number and the friction factor.When the range of fin height is 0.02~0.05, Nu/Nu p=1.59～1.83,andη= 1.24～1.30.
4. Analyzing the numerical results,0.50/40/41 is the best rib combination of all.
5. With regard to the internally helical finned tube with center blocked ,when d/D=0.35～0.4, the grades of Nu increase greatly ,however, the grades of f increase smaller.
6. With regard to the internally helical finned tube with center blocked ,ηaugment with the increase in d/D when d/D=0.2~0.5,the range ofηvalue isη=1.57～2.05.
1、随着螺旋角的增大,Nu和f均先增大后减小,在螺旋角为41°时,Nu达到最大,在螺旋角为39°时,f达到最大。内螺纹肋管Nu数与光管Nup数的比值Nu/Nu p=1.51～1.71,评价指标采用η=(j/jP)/(f/fP)1/3 ,η= 1.15～1.28。
2、随肋数N的增加,Nu和f的变化都不大。Nu/Nu p的变化范围为Nu/Nup = 1.71～1.73,评价指标的范围在η= 1.279～1.281。
3、随肋高的增加,Nu和f都有较大增加, Nu/Nu p随着肋高H(0.02~0.05)增加而单调递增, Nu/Nup的变化范围为1.59～1.83,评价指标的值为η= 1.24～1.30。
4、通过对计算结果的分析,在所选择的肋几何参数范围内,最佳肋参数为0.50/40/41。
5、对于中心被堵内螺纹肋管,当d/D在0.35~0.4之间变化时,Nu数增大的梯度很大,而f增大的梯度相对较小。
6、对于中心被堵内螺纹肋管,η随着d/D的增大而增大,当d/D在0.2~0.5之间变化时,评价指标的值为1.57~2.05。
As an effective configuration for heat transfer enhancement, the internally helical finned tube is widely employed. This paper provides heat transfer and friction characteristics of the internally helical finned tube in numerical and experimental investigation, the internally helical finned tubes were measured during fin geometry ranges of non-dimensional rib height(0.02 to 0.05), number of rib starts(35 to 50),helix angle(35 to 45deg).Analysing the impact of fin number,fin height and helix angle on the Nusselt number and the friction factor,then experiments verify the numerical results . Analysing the impact of non-dimensional radius(0.2~0.5) on the Nusselt number and the friction factor of the internally helical finned tube with center blocked in numerical investigation.The major findings are as follows:
1. The Nusselt number and the friction factor increase first,then decrease with the increase in helix angle. whenγ=41°,Nu is peak, whenγ=41°,f is peak.The ratio of the internally helical finned tube Nu number to the plain tube Nup is written Nu/Nu p, Nu/Nu p=1.51~1.71,the values of evaluation indexη=(j/jP)/(f/fP)1/3isη1.15~1.28.
2. The number of rib starts variation causes a little increase the Nusselt number and the friction factor. The values of Nu/Nu paugment with the increase in the number of rib starts (35~50), Nu/Nup = 1.71～1.73,andη=1.279～1.281.
3. The fin height variation causes a dramatic increase of the Nusselt number and the friction factor.When the range of fin height is 0.02~0.05, Nu/Nu p=1.59～1.83,andη= 1.24～1.30.
4. Analyzing the numerical results,0.50/40/41 is the best rib combination of all.
5. With regard to the internally helical finned tube with center blocked ,when d/D=0.35～0.4, the grades of Nu increase greatly ,however, the grades of f increase smaller.
6. With regard to the internally helical finned tube with center blocked ,ηaugment with the increase in d/D when d/D=0.2~0.5,the range ofηvalue isη=1.57～2.05.
引文
[1]林宗虎,汪军,李瑞阳,崔国民等.强化传热技术[M].北京:化学工业出版社,2007
[2]董芃,吴江全,刘振德.螺纹管综合性能的研究探讨[J].热能动力工程,1990(5)1:20-26
[3] Webb R.L. Heat Transfer and Friction Characteristics of Internal Helical-Rib Roughness[J]. Journal of Heat Transfer,2000,122:134-146
[4] Liu X Y, Jensen M K.Geometry Effects on Turbulent Flow and Heat Transfer in Internally Finned Tubes[J].Joumal of Heat Transfer, 2001, 12:1036-1044
[5] Kim J H, Jensen E and Jensen K.Analysis of Heat Transfer Characteristics in Internally Finned Tubes[J].Numerical Heat Transfer,Part A,2004,46:1-21
[6]孙东亮,樊菊芳,王良璧.内螺纹肋管内流动与传热的数值模拟[J].工程热物理学报,2006,(26)3:483-485
[7] Shome B, Jenson M K. Numerical Investigation of Laminar Flow and Heat Transfer in Internally Finned Tubes[J]. Enhanced Heat Transfer,1996,4:35-51
[8] Shome B, Jenson M K.Experimental Investigation of Laminar Flow and Heat Transfer in Internally Fined Tubes[J].International Journal of Heat and Mass Transfer ,1999,4:1343-1351
[9] Li W, Ralph L. Webb. Fouling Characteristics of Internal Helical-Rib Roughness Tubes Using Low-Velocity Cooling Tower Water[J]. International Journal of Heat and Mass Transfer, 45 (2002) :1685–1691
[10]吴慧英,程惠尔,周强泰.基于Webb指标的管内强化对流热力性能的计算及应用[J].上海交通大学学报, 1999,33(3):377-379
[11] Shome B, Jensen M K. Experimental Investigation of Laminar Flow and Heat Transfer in Internally Finned Tubes[J]. Journal of Enhanced Heat Transfer, 1996, 4(1) :53-70
[12] Geinlinski V.New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow[J].Federal Republic of Germany,1976,4:359-369
[13] Ravigururajan T S, Bergles A E.Development and Verification of General Correlation For Pressure Drop and Heat Transfer in Single-Phase Turbulent Flow in Enhanced Tubes[J].Expermental Thermal and Fluid Science, 1996,13:55-70
[14]高青.传热管强化传热性能评价方法研究[J].化工机械,1992,19(5):277-281
[15]李隆键.螺旋管内对流传热过程及其强化[D].重庆:重庆大学,2000
[16]徐利敏,许厚谦.非结构网格在周期性充分发展流动数值模拟中的应用[J].南京理工大学学报,2006,30:705-708
[17]杨怡华,张伯嗣.螺纹管传热器的传热特性及其设计计算[J].石油炼制,1989,9:1-6
[18] Webb R L,Scott M J.A Paramentric Analysis of the Performance of Internally Finned Tubes for Heat Exchanger Application[J]. Journal of Heat Transfer,1980, 102:38-43
[19]张建平.螺纹管在传热器中应用分析[J].河南化工, 1998 ,ll:22-23
[20] Kang S,Patil B,Zarate J A et al.Isothermal and Heated Turbulent Upflow in a Vertical Annular Channel-PartⅠExperimental Measurements[J].Int J Heat Mass Transfer,2001,44:1171~1184
[21] Zarate J A,Roy R P,Laporta A.Isothermal and Heated Turbulent Upflow in a Vertical Annular Channel-PartⅡNumerical Simulations[J].Int J Heat Mass Transfer,2001,44:1185~1199
[22] Nouri J M,Whitelaw J H.Flow of Newtonian and Non-Newtonian Fluids in a Concentric Annulus with Rotation of the Inner Cylinder[J].Fluid Eng.,1994,116: 821~827
[23] Nouri J M,Umur H,Whitlaw J H.Flow of Newtonian and Non-Newtonian Fluids in Concentric and Eccentric Annuli[J].Fluid Mech.,1993,253:617~641
[24]曾和义,秋穗正,苏光辉,贾斗南.环形窄缝通道单相流动特性研究[J].原子能科学技术,2007,41(5)
[25]曾和义,秋穗正等.环形窄缝通道单相流动特性研究[J].原子能科学技术2007,41(5):575-579
[26]孙中宁,孙立成,阎昌琪等.窄缝环形流道单相摩擦阻力特性实验研究[J].核动力工程,2004,25(2):123~127
[27]姜明健,罗晓惠,刘伟力等.水在微尺度槽道中单相流动和换热研究[J].北京联合大学学报,1998,12(1):71~75
[28]路广遥,孙中宁,王经,阎昌琪.窄缝通道内流动阻力特性的实验研究[J].核动力工程,2006,27(3):28-31
[29]谢公南,王秋旺,陶文铨.环形通道内层流入口段传热与流体变物性的影响[J].化工学报,2005,56(8):1403-1408
[30] Shaarawi M A I, Abualhamayel H I, Mokheimer E M A.Developing LaminarForced Convection in Eccentric Annuli[J].Heat and Mass Transfer,1998,33:353—362
[31] Weigand B, Wolf M, Beer H.Heat Transfer in Laminar and Turbulent Flows in the Thermal Entrance Region of Concentric Annuli: Axial Heat Conduction Effects in the Fluid[J].Heat and Mass Transfer,1997,33:67—80
[32] Shabraki F, Bragg R.Numerical Study of Laminar Natural Convection of Air in an Annulus Allowing for Variable Fluid Properties[J]. Advanced in Computational Methods in Heat TransferⅦ, 2002:83—93
[33]陶文铨.传热与流动问题的多尺度数值模拟:方法与应用[M].北京:科学出版社,2009
[34]王福军.计算流体动力学分析[M].北京:清华大学出版社,2004
[35]廖全.三维微肋螺旋管内的两相流动与沸腾传热[D].重庆:重庆大学,工程热物理专业,2002
[36]吴慧英,程惠尔,周强泰.基于Webb指标的管内强化对流热力性能的计算及应用[J].上海交通大学学报, 1999,33(3):377-379
[37]陶文铨.数值传热学[M].西安:西安交通大学出版社,2001
[38] Tafti D K,Wang G,Lin W.Flow Transition in a Multi-Louvered Fin Array[J].Int J of Heat and Mass Transfer。2000,43(6):901—919
[39]杨茉,赵明,叶剑军等.非稳态横掠管束周期性充分发展对流传热的数值模拟[J].工程热物理学报,2003,24(6) ::988—991
[40]徐利敏,许厚谦.非结构网格在周期性充分发展流动数值模拟中的应用[J].南京理工大学学报,2006,30:705-708
[41] Amano R S.A Numerical Study of Laminar and Turbulent Heat Transfer in a Periodically Corrugated Wallchannel[J].Journal of Heat Transfer,1985,107(3):564—569
[42] Murthy J Y,Mathur S.Periodic Flow and Heat Transfer Using Unstructured Meshes[J].International Journal for Numerical Methods in Fliuds.1997,25(6):659-677
[43] Webb B W,Ramadhyani S.Comjugate Heat Transfer in a Channel With Staggered Ribs[J] .International Journal of Heat and Mass Transfer,1985,28:1679—1687
[44]曾敏.波纹管内流动和传热规律的实验研究及数值模拟[D].西安:西安交通大学,能源与动力工程学院,2004
[45] Pantankar S V,Ivanovic M,Sparrow E M.Analysis of Turbulent Flow and HeatTransfer in Internally Finned Tubes and Annuli[J]. ASME J.Heat Transfer, 1979, 101: 29-37
[46] Patankar S V,Liu C H,Sparrow E M.Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area[J].ASME J. Heat Transfer,1977,99:180-186
[47]韩占忠,王敬,兰小平.流体工程仿真计算[M].北京:北京理工大学出版社,2004
[48]王瑞金,张凯,王刚.Fluent技术基础与应用实例[M].北京:清华大学出版社,2007
[49]魏红宁,周本宽.适于自适应网格加密的数据结构和算法[J].西安交通大学学报,1996,31(6):652-657
[50]张定才,何雅玲,刘启斌,陶文铨.内螺旋肋管流动与传热特性的实验研究[J].工程热物理学报, 2006,27(6):1029-1031
[51]刘振学,黄仁和,田爱民.实验设计与数据处理[M].北京:化学工业出版社,2007
[52]卢学山,张敏等.纵向内肋片环形通道中的充分发展对流换热数值计算.中国科技论文在线,2007, 7
[53]张敏,俞国新等.圆环管中充分发展层流的数值解和理论解.中国科技论文在线,2007,7
[2]董芃,吴江全,刘振德.螺纹管综合性能的研究探讨[J].热能动力工程,1990(5)1:20-26
[3] Webb R.L. Heat Transfer and Friction Characteristics of Internal Helical-Rib Roughness[J]. Journal of Heat Transfer,2000,122:134-146
[4] Liu X Y, Jensen M K.Geometry Effects on Turbulent Flow and Heat Transfer in Internally Finned Tubes[J].Joumal of Heat Transfer, 2001, 12:1036-1044
[5] Kim J H, Jensen E and Jensen K.Analysis of Heat Transfer Characteristics in Internally Finned Tubes[J].Numerical Heat Transfer,Part A,2004,46:1-21
[6]孙东亮,樊菊芳,王良璧.内螺纹肋管内流动与传热的数值模拟[J].工程热物理学报,2006,(26)3:483-485
[7] Shome B, Jenson M K. Numerical Investigation of Laminar Flow and Heat Transfer in Internally Finned Tubes[J]. Enhanced Heat Transfer,1996,4:35-51
[8] Shome B, Jenson M K.Experimental Investigation of Laminar Flow and Heat Transfer in Internally Fined Tubes[J].International Journal of Heat and Mass Transfer ,1999,4:1343-1351
[9] Li W, Ralph L. Webb. Fouling Characteristics of Internal Helical-Rib Roughness Tubes Using Low-Velocity Cooling Tower Water[J]. International Journal of Heat and Mass Transfer, 45 (2002) :1685–1691
[10]吴慧英,程惠尔,周强泰.基于Webb指标的管内强化对流热力性能的计算及应用[J].上海交通大学学报, 1999,33(3):377-379
[11] Shome B, Jensen M K. Experimental Investigation of Laminar Flow and Heat Transfer in Internally Finned Tubes[J]. Journal of Enhanced Heat Transfer, 1996, 4(1) :53-70
[12] Geinlinski V.New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow[J].Federal Republic of Germany,1976,4:359-369
[13] Ravigururajan T S, Bergles A E.Development and Verification of General Correlation For Pressure Drop and Heat Transfer in Single-Phase Turbulent Flow in Enhanced Tubes[J].Expermental Thermal and Fluid Science, 1996,13:55-70
[14]高青.传热管强化传热性能评价方法研究[J].化工机械,1992,19(5):277-281
[15]李隆键.螺旋管内对流传热过程及其强化[D].重庆:重庆大学,2000
[16]徐利敏,许厚谦.非结构网格在周期性充分发展流动数值模拟中的应用[J].南京理工大学学报,2006,30:705-708
[17]杨怡华,张伯嗣.螺纹管传热器的传热特性及其设计计算[J].石油炼制,1989,9:1-6
[18] Webb R L,Scott M J.A Paramentric Analysis of the Performance of Internally Finned Tubes for Heat Exchanger Application[J]. Journal of Heat Transfer,1980, 102:38-43
[19]张建平.螺纹管在传热器中应用分析[J].河南化工, 1998 ,ll:22-23
[20] Kang S,Patil B,Zarate J A et al.Isothermal and Heated Turbulent Upflow in a Vertical Annular Channel-PartⅠExperimental Measurements[J].Int J Heat Mass Transfer,2001,44:1171~1184
[21] Zarate J A,Roy R P,Laporta A.Isothermal and Heated Turbulent Upflow in a Vertical Annular Channel-PartⅡNumerical Simulations[J].Int J Heat Mass Transfer,2001,44:1185~1199
[22] Nouri J M,Whitelaw J H.Flow of Newtonian and Non-Newtonian Fluids in a Concentric Annulus with Rotation of the Inner Cylinder[J].Fluid Eng.,1994,116: 821~827
[23] Nouri J M,Umur H,Whitlaw J H.Flow of Newtonian and Non-Newtonian Fluids in Concentric and Eccentric Annuli[J].Fluid Mech.,1993,253:617~641
[24]曾和义,秋穗正,苏光辉,贾斗南.环形窄缝通道单相流动特性研究[J].原子能科学技术,2007,41(5)
[25]曾和义,秋穗正等.环形窄缝通道单相流动特性研究[J].原子能科学技术2007,41(5):575-579
[26]孙中宁,孙立成,阎昌琪等.窄缝环形流道单相摩擦阻力特性实验研究[J].核动力工程,2004,25(2):123~127
[27]姜明健,罗晓惠,刘伟力等.水在微尺度槽道中单相流动和换热研究[J].北京联合大学学报,1998,12(1):71~75
[28]路广遥,孙中宁,王经,阎昌琪.窄缝通道内流动阻力特性的实验研究[J].核动力工程,2006,27(3):28-31
[29]谢公南,王秋旺,陶文铨.环形通道内层流入口段传热与流体变物性的影响[J].化工学报,2005,56(8):1403-1408
[30] Shaarawi M A I, Abualhamayel H I, Mokheimer E M A.Developing LaminarForced Convection in Eccentric Annuli[J].Heat and Mass Transfer,1998,33:353—362
[31] Weigand B, Wolf M, Beer H.Heat Transfer in Laminar and Turbulent Flows in the Thermal Entrance Region of Concentric Annuli: Axial Heat Conduction Effects in the Fluid[J].Heat and Mass Transfer,1997,33:67—80
[32] Shabraki F, Bragg R.Numerical Study of Laminar Natural Convection of Air in an Annulus Allowing for Variable Fluid Properties[J]. Advanced in Computational Methods in Heat TransferⅦ, 2002:83—93
[33]陶文铨.传热与流动问题的多尺度数值模拟:方法与应用[M].北京:科学出版社,2009
[34]王福军.计算流体动力学分析[M].北京:清华大学出版社,2004
[35]廖全.三维微肋螺旋管内的两相流动与沸腾传热[D].重庆:重庆大学,工程热物理专业,2002
[36]吴慧英,程惠尔,周强泰.基于Webb指标的管内强化对流热力性能的计算及应用[J].上海交通大学学报, 1999,33(3):377-379
[37]陶文铨.数值传热学[M].西安:西安交通大学出版社,2001
[38] Tafti D K,Wang G,Lin W.Flow Transition in a Multi-Louvered Fin Array[J].Int J of Heat and Mass Transfer。2000,43(6):901—919
[39]杨茉,赵明,叶剑军等.非稳态横掠管束周期性充分发展对流传热的数值模拟[J].工程热物理学报,2003,24(6) ::988—991
[40]徐利敏,许厚谦.非结构网格在周期性充分发展流动数值模拟中的应用[J].南京理工大学学报,2006,30:705-708
[41] Amano R S.A Numerical Study of Laminar and Turbulent Heat Transfer in a Periodically Corrugated Wallchannel[J].Journal of Heat Transfer,1985,107(3):564—569
[42] Murthy J Y,Mathur S.Periodic Flow and Heat Transfer Using Unstructured Meshes[J].International Journal for Numerical Methods in Fliuds.1997,25(6):659-677
[43] Webb B W,Ramadhyani S.Comjugate Heat Transfer in a Channel With Staggered Ribs[J] .International Journal of Heat and Mass Transfer,1985,28:1679—1687
[44]曾敏.波纹管内流动和传热规律的实验研究及数值模拟[D].西安:西安交通大学,能源与动力工程学院,2004
[45] Pantankar S V,Ivanovic M,Sparrow E M.Analysis of Turbulent Flow and HeatTransfer in Internally Finned Tubes and Annuli[J]. ASME J.Heat Transfer, 1979, 101: 29-37
[46] Patankar S V,Liu C H,Sparrow E M.Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area[J].ASME J. Heat Transfer,1977,99:180-186
[47]韩占忠,王敬,兰小平.流体工程仿真计算[M].北京:北京理工大学出版社,2004
[48]王瑞金,张凯,王刚.Fluent技术基础与应用实例[M].北京:清华大学出版社,2007
[49]魏红宁,周本宽.适于自适应网格加密的数据结构和算法[J].西安交通大学学报,1996,31(6):652-657
[50]张定才,何雅玲,刘启斌,陶文铨.内螺旋肋管流动与传热特性的实验研究[J].工程热物理学报, 2006,27(6):1029-1031
[51]刘振学,黄仁和,田爱民.实验设计与数据处理[M].北京:化学工业出版社,2007
[52]卢学山,张敏等.纵向内肋片环形通道中的充分发展对流换热数值计算.中国科技论文在线,2007, 7
[53]张敏,俞国新等.圆环管中充分发展层流的数值解和理论解.中国科技论文在线,2007,7