說明 
125 p 
附註 
Source: Dissertation Abstracts International, Volume: 6503, Section: B, page: 1353 

Adviser: Weizhong Dai 

Thesis (Ph.D.)Louisiana Tech University, 2004 

Heat transport at the microscale is the subject of intense investigation due to the growing need to fabricate microstructures for applications in nanotechnology. The need to control the spread of the thermal process zone has led to the development of high power shortpulse lasers. During thermal processing, impurities may form in the material. An amplification of the thermal energy around the impurities may result in severe damage occurring or in the failure of the thermal process. A thorough analysis of the way the impurities dissipates the thermal energy is therefore necessary to minimize the potential damage and optimize the thermal processing 

The classical theory of heat diffusion, which is averaged over many grains, is inadequate in describing the transport phenomenon. Single energy equations developed to describe the transport phenomenon include a thirdorder mixed derivative with respect to space which makes them numerically inefficient. In this study, we will consider a microsphere subjected to an ultrafast laser pulse. The transport phenomenon is modeled by the twostep parabolic heat transport equations in three dimensional spherical coordinates. We will develop an energy estimate to establish the wellposedness of the problem, a threelevel finite difference scheme to solve the transport equations, and prove that the finite difference scheme is unconditionally stable. The scheme will be applied to investigate the temperature rise in a gold sphere subjected to a shortpulse laser 

School code: 0109 

DDC 
Host Item 
Dissertation Abstracts International 6503B

主題 
Mathematics


Engineering, Mechanical


Physics, Condensed Matter


0405


0548


0611

Alt Author 
Louisiana Tech University

