Solving Transient Temperature-Jump Models over Curved Micro-Surfaces


Dinler A.

29th International Symposium on Rarefi ed Gas Dynamics (RGD), Xian, China, 13 - 18 July 2014, vol.1628, pp.411-418 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1628
  • Doi Number: 10.1063/1.4902622
  • City: Xian
  • Country: China
  • Page Numbers: pp.411-418

Abstract

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.