Journal
AIP ADVANCES
Volume 5, Issue 6, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4922269
Keywords
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Funding
- National Science Foundation (NSF) Nanomanufacturing Program [CMMI-1405078]
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The widely used diffusion approximation is inaccurate to describe the transport behaviors near surfaces and interfaces. To solve such stochastic processes, an integrodifferential equation, such as the Boltzmann transport equation (BTE), is typically required. In this work, we show that it is possible to keep the simplicity of the diffusion approximation by introducing a nonlocal source term and a spatially varying diffusion coefficient. We apply the proposed integrated diffusion model (IDM) to a benchmark problem of heat conduction across a thin film to demonstrate its feasibility. We also validate the model when boundary reflections and uniform internal heat generation are present. (C) 2015 Author(s).
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