期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

边界条件随时间变化Stefan问题的一种热平衡积分解法 被引量：6

A Heat Balance Integral Method for the Stefan Problem with Time-dependent Boundary conditions
在线阅读 下载PDF
导出
摘要 用热平衡积分法和两个不同的温度分布求解了边界条件随时间变化的Stefan问题,给出了Stefan问题的解,并分析了两种温度分布所得解的特点. The Stefan problem with time-dependent boundary conditions is solved by using a new heat balance integral equation and two different temperature distributions. The solutions are obtained with two different temperature distributions, and the characteristics of the two solutions are analyzed.
作者 刘永杰 令锋
机构地区 内蒙古工业大学理学院 肇庆学院计算机学院
出处 《内蒙古大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期625-631,共7页 Journal of Inner Mongolia University：Natural Science Edition
关键词 热平衡积分 相变 STEFAN问题 heat balance integral method phase change Stefan problem
分类号 O241.82 [理学—计算数学]
  • 相关文献

参考文献15

  • 1徐湘田,令锋.Neumann问题热平衡积分法细化解的收敛性[J].工程数学学报,2010,27(3):503-512. 被引量：5
  • 2徐湘田,令锋.单相融化问题热平衡积分细化解的收敛性[J].内蒙古大学学报（自然科学版）,2009,40(2):128-131. 被引量：7
  • 3Wood A S.A new look at heat balance integral method. Applied Mathematical Modelling . 2001
  • 4Nacer Sadoun,El-Khider Si-Ahmed,Pierre Colinet.On the integral method for the one-phase Stefan problemwith time-dependent boundary conditions. Applied Mathematical Modelling . 2006
  • 5Bell G E,Abbas S K.Convergence properties of the heat balance integral method. Numerical Heat Transfer . 1985
  • 6Mosally F,Wood A S,AL-Fhaid A.On the convergence of the heat balance integral method. Applied Mathe-matical Modelling . 2005
  • 7Braga W F,Mantelli M B H,Azevedo J L F.Approximate analytical solution for one-dimensional ablation prob-lem with time-variable heat flux. 36th AIAA Thermophysic Conference . 2003
  • 8Myers TG.Optimizing the exponent in the heat balance and refined integral methods. International Communi-cations in Heat and Mass Transfer . 2009
  • 9Myers TG.Optimal exponent heat balance and refined integral methods applied to Stefan problems. Interna-tional Journal of Heat and Mass Transfer . 2010
  • 10Caldwell J,Kwan Y Y.On the perturbation method for the Stefan Problem with time-dependent boundary condi-tions. International Journal of Heat and Mass Transfer . 2003

二级参考文献20

  • 1Goodman T R. The heat-balance integral and its application to problems involving a change of phase [J]. Trans. ASME Journal of Heat Transfer, 1958,80 : 335 -342.
  • 2Wood A S. A new look at the heat balance integral method [J].Applied Mathematical Modelling. 2001.25: 815 -824.
  • 3Langford D. The Heat Balance Integral Method [J]. Int. J. Heat Mass Transfer, 1973,16 : 2 424-2428.
  • 4Crank J. The mathematics of Diffusion [M]. Oxford: Clarendon Press. 1964. 310- 325.
  • 5Noble B. Heat balance methods in melting problems [A]. Ockendon J R ,Hodgkins W R.eds. Moving Boundary Problems in Heat Flow and Diffusion[C]. Oxford: Clarendon Press,1975,208-209.
  • 6Bell G E. A refinement of the Heat Balance Integral Method applied to a Melting Problem [J] Int. J. Heat Mass Transfer, 1978.21 : 1357-1362.
  • 7Bell G E. Solidification of a Liquid about a Cylindrical Pipe [J]. Int. J. Heat Mass Transfer, 1979,22:1 681-1686.
  • 8Bell G E. Abbas S K. Convergence properties of the heat balance integral method [J]. Numerical Heat Transfer, 1985,8: 373-382.
  • 9Mosally F, Wood A S, AL-Fhaid A. On the convergence of the heat balance integral method [J]. Applied Mathematical Modelling, 2005,29 : 903 -12.
  • 10Goodman T R. The heat-balance integral and its application to problems involving a change of phase[J]. Tran ASMEJ Heat Transfer, 1958, 80:335-342.

共引文献6

同被引文献85

引证文献6

二级引证文献20

内蒙古大学学报（自然科学版）
2010年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部