In this work we model uncertainty propagation in heat transfer via the multi-element generalized polynomial chaos (ME-gPC) method by focusing on the stochastic heat-transfer enhancement in a two-dimensional grooved channel. Based on the global energy balance, a similar technique as in  is employed to develop proper numerical schemes for the fully developed flow. The velocity and temperature field are expressed by the ME-gPC. Using a Galerkin projection, we reduce the stochastic PDE system to a high-dimensional deterministic one, which is solved by the spectral/hp element method. A time, spaced-averaged Nusselt number with error bars is obtained at different excitation frequencies. The probability density function (PDF) of the Nusselt number is also presented.
- Heat Transfer Division and Electronic and Photonic Packaging Division
Simulation of Heat Transfer With Uncertainty
- Views Icon Views
- Share Icon Share
- Search Site
Wan, X, & Karniadakis, GE. "Simulation of Heat Transfer With Uncertainty." Proceedings of the ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. Heat Transfer: Volume 4. San Francisco, California, USA. July 17–22, 2005. pp. 947-954. ASME. https://doi.org/10.1115/HT2005-72530
Download citation file: