Alternative analytical solutions of the diffusion (thermal conductivity) equation for an arbitrary initial concentration (temperature) distribution

被引:1
作者
Malkovich, RS [1 ]
机构
[1] Russian Acad Sci, AF Ioffe Physicotech Inst, St Petersburg 194021, Russia
关键词
Thermal Conductivity; Diffusion Coefficient; Thermal Diffusivity; Characteristic Size; Initial Distribution;
D O I
10.1134/1.1526884
中图分类号
O59 [应用物理学];
学科分类号
摘要
Alternative analytical solutions of the diffusion (or thermal conductivity) equation are presented, which ensure rapid convergence even for small values of Dt/l(2) (alphat/l(2)), where D is the diffusion coefficient, alpha is the thermal diffusivity, t is the time, and l is the characteristic size. The solutions possess a general character and are valid for an arbitrary initial distribution of the concentration (temperature). (C) 2002 MAIK "Nauka / Interperiodica".
引用
收藏
页码:923 / 924
页数:2
相关论文
共 3 条
  • [1] Carslaw HS., 1964, CONDUCTION HEAT SOLI
  • [2] Crank J., 1956, The Mathematics of Diffusion
  • [3] MALKOVICH RS, 1999, MATH DIFFUSION SEMIC