Solving Transient Temperature-Jump Models over Curved Micro-Surfaces


Dinler A.

29th International Symposium on Rarefi ed Gas Dynamics (RGD), Xian, Çin, 13 - 18 Temmuz 2014, cilt.1628, ss.411-418

  • Cilt numarası: 1628
  • Doi Numarası: 10.1063/1.4902622
  • Basıldığı Şehir: Xian
  • Basıldığı Ülke: Çin
  • Sayfa Sayısı: ss.411-418

Özet

Quantifying the amount of heat transfer between a micro-surface and its environment is essential in the design of many micro-devices. The present study investigates the transient heat conduction through a gas between two cylindrical surfaces in order to gain some insights. An analytical solution of a temperature-jump model can be helpful but analytical investigation of the time-dependent temperature-lump models is not easy even for a simple one-dimensional geometry. Therefore. this study employs the Heaviside operational method to solve a second-order temperature jump model. The study gives a generalization of the Heaviside expansion theorem and a semi-analytical procedure for using it. Then it solves the variation of gas temperature with time and with distance from a cylindrical micro-surface and examines the amount of the temperature-jumps at curved surfaces.