Please wait a minute...
浙江大学学报(工学版)
J4  2013, Vol. 47 Issue (8): 1463-1469    DOI: 10.3785/j.issn.1008-973X.2013.08.021
能源工程、化学工程与生物工程     
放热流体在多孔渗流水平圆柱外的自然对流
曾轶1, 洪荣华1, 范利武1,徐旭2, 俞自涛1, 胡亚才1
1. 浙江大学 热工与动力系统研究所,浙江 杭州 310027；2. 中国计量学院 计量测试工程学院,浙江 杭州 310018
Natural convection of a heat-generating fluid around a horizontal porous percolating circular cylinder
ZENG Yi1, HONG Rong-hua1, FAN Li-wu1, XU Xu2,YU Zi-tao1, HU Ya-cai1
1. Institute of Thermal Science and Power Systems, Zhejiang University, Hangzhou 310027, China；
2. College of Metrological and Measurement Engineering, China Jiliang University, Hangzhou 310018, China
 全文: PDF  HTML
摘要：

针对等温加热的多孔渗流水平圆柱体浸没在放热流体中的层流自然对流传热问题采用摄动法进行分析.圆柱体的多孔渗流特性用圆柱壁面的法向速度进行表示.通过摄动法对自然对流传热的边界层方程进行近似分析,并利用龙格-库塔方法求得方程的数值解,得到自然对流的速度与温度场以及沿圆柱体壁面的努塞尔数分布.结果表明,在有壁面外法向速度时,圆柱体的局部换热受到抑制；然而壁面吸入或流体放热效应都对局部努塞尔数有增强效果.圆柱体的平均努塞尔数随着流体放热的增加或壁面内法向速度的减小而降低.在流体放热恒定时,壁面流出效应对整体换热的影响并不明显.

 
Abstract:

The perturbation method was employed to analyze laminar natural convection around an isothermally heated horizontal porous percolating circular cylinder that is immersed in a fluid with internal heat generation. The porous percolating effect of the circular cylinder was represented by its wall blowing/suction. The natural convection heat transfer boundary layer equations were solved using the perturbation technique incorporated with the Runge-Kutta method. The natural convective velocity and temperature profiles as well as the scaled local and overall Nusselt numbers were obtained. It was shown that the local Nusselt number is suppressed by wall blowing but is increased by either wall suction or heat generation,whereas the average Nusselt number is lowered with both increasing heat generation and decreasing wall suction. At constant heat generation,however,wall blowing has insignificant influence on the overall heat transfer.

 
出版日期: 2013-08-01
:  TK 124  
基金资助:

国家自然科学基金资助项目(51106144)；中国博士后科学基金面上资助项目(2012M511362).
通讯作者: 范利武，男，博士后.     E-mail: liwufan@zju.edu.cn
作者简介: 曾轶(1988—)，男，硕士生，从事对流传热研究. E-mail：158269182@qq.com
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　

引用本文:

曾轶, 洪荣华, 范利武,徐旭, 俞自涛, 胡亚才. 放热流体在多孔渗流水平圆柱外的自然对流[J]. J4, 2013, 47(8): 1463-1469.

ZENG Yi, HONG Rong-hua, FAN Li-wu, XU Xu,YU Zi-tao, HU Ya-cai. Natural convection of a heat-generating fluid around a horizontal porous percolating circular cylinder. J4, 2013, 47(8): 1463-1469.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2013.08.021    或    http://www.zjujournals.com/eng/CN/Y2013/V47/I8/1463

［1］ ECKERT E R G,DRAKE JR R M. Heat and Mass Transfer［M］. New York: McGraw-Hill,1959: 311-333.

［2］ SHEE Y T,SINGH S N. Natural convection from a horizontal cylinder at small Grashof numbers［J］. Numerical Heat Transfer,1982,5(4)： 479-492.

［3］ QURESHI Z H,AHMAD R. Natural convection from a uniform heat flux horizontal cylinder at moderate Rayleigh numbers［J］. Numerical Heat Transfer,1987,11(2)： 199-212.

［4］ CHRISTOPHER D M,王补宣.饱和含湿多孔介质中环绕水平圆柱的自然对流［J］.工程热物理学报,1994,15(4)： 414-419.

CHRISTOPHER D M,WANG Bu-xuan. Natural convection around a horizontal cylinder in a fluid-saturafed porous media using Fourier series［J］. Journal of Engineering Thermophysics,1994,15(4)： 414-419.

［5］ 李光正,赵钧,王秀春.绕水平圆柱层流自然对流数值模拟［J］.华中理工大学学报,1994,22(增刊)： 161-164.

LI Guang-zheng, ZHAO Jun, WANG Xiu-chun. Numerical computation of laminar natural convection around a horizontal circular cylinder ［J］. Journal of Huazhong University of Science and Technology,1994,22(Sup.)： 161-164.

［6］ 武俊梅,陶文铨.具有纵向外肋片的水平复合管外表面自然对流换热的数值计算［J］.工程热物理学报,2004,25(增刊)： 91-94.

WU Jun-mei,TAO Wen-quan. Numerical computation of laminar natural convection heat transfer around a horizontal compound tube with external longitudinal fins［J］. Journal of Engineering Thermophysics,2004,25(Sup.)： 91-94.

［7］ YIH K A. Effect of uniform blowing/suction on MHD-natural convection over a horizontal cylinder: UWT or UHF［J］. Acta Mechanica,2000,144(1-2)： 17-27.

［8］ MOLLA M M,HOSSAIN M A,PAUL M C. Natural convection flow from an isothermal horizontal circular cylinder in presence of heat generation ［J］. International Journal of Engineering Science,2008,44(13-14)： 949-958.

［9］ MOLLA M M,PAUL S C,HOSSAIN M A. Natural convection flow from a horizontal circular cylinder with uniform heat flux in presence of heat generation ［J］. Applied Mathematical Modelling,2009,33(7)： 3226-3236.

［10］ CHAMKHA A J,QUADRI M M A. Heat and mass transfer from a permeable cylinder in a porous medium with magnetic field and heat generation/absorption effects ［J］. Numerical Heat Transfer,Part A: Applications,2001,40(4)： 387-401.

［11］ ABO-ELDAHAB E M, AZIZ M A E. Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption ［J］. International Journal of Thermal Sciences,2004,43(7)： 709-719.

［12］ CORTELL R. Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing ［J］. Fluid Dynamics Research,2005,37(4)： 231-245.

［13］ KANDASAMYA R, PERIASAMYB K, PRABHU K K S. Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection ［J］. International Journal of Heat and Mass Transfer,2005,48(7)： 1388-1394.

［14］ KHAN S K. Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation ［J］. International Journal of Heat and Mass Transfer,2006,49(3/4)： 628-639.

［15］ MEALEY L,MERKIN J H. Free convection boundary layers on a vertical surface in a heat-generating porous medium ［J］. IMA Journal of Applied Mathematics,2008,73(1)： 231-253.

［16］ 耶哈B K,穆萨M K.放/吸热流体在两个充满多孔材料的竖直平行板之间作不稳定的自然对流［J］.应用数学和力学,2012,33(3)： 292302.

JHA B K, MUSA M K. Unsteady natural convection couette flow of heat generating/absorbing fluid between vertical parallel plates filled with porous material［J］. Applied Mathematics and Mechanics,2012,33(3)： 292-302.

［17］ AZIZ A,NA T Y. Perturbation methods in heat transfer［M］. Washington DC: Hemisphere Publishing Corporation,1984: 21-49.

［18］ 苏亚欣,骆仲泱,高翔,等.变导热系数对流—辐射—导热肋片的双重级数摄动解［J］.浙江大学学报：工学版,2001,35(1)： 113-118.

SU Ya-xin,LUO Zhong-yang,GAO Xiang,et al. A two parameter perturbation solution for convecting-radiating-conducting fins with variable thermal conductivity［J］. Journal of Zhejiang University: Engineering Science,2001,35(1)： 113-118.
[1] 汪超, 董飞英, 范利武, 俞自涛, 胡亚才. 盐水冷却塔传热传质特性的实验研究[J]. J4, 2014, 48(4): 666-670.
[2] 肖玉麒,范利武,洪荣华,徐旭,俞自涛,胡亚才. 纳米填料对储能式散热器性能影响的数值研究[J]. J4, 2013, 47(9): 1644-1649.
[3] 王智科, 孙显东, 郭思璞, 李红霞, 李蔚, 朱华. 微小内螺纹管冷凝实验结果及关联式评价[J]. J4, 2013, 47(2): 293-299.
[4] 黄晨,程乐鸣,周星龙,吴朝刚,周棋,方梦祥,骆仲泱. 大型循环流化床炉内悬吊受热面传热特性[J]. J4, 2012, 46(11): 2128-2132.
[5] 李红霞, 李冠球, 李蔚. 管内颗粒污垢特性分析[J]. J4, 2012, 46(9): 1671-1677.
[6] 陈伟, 屈利娟, 汪超, 俞自涛, 王靖华. 盐水聚能塔式空气源热泵热水系统性能[J]. J4, 2012, 46(8): 1485-1489.
[7] 郑成航, 程乐鸣, 李涛, 骆仲泱, 倪明江, 岑可法. 多孔介质内低热值气体燃烧及传热数值模拟[J]. J4, 2010, 44(8): 1567-1572.