SIMULATION OF HEAT TRANSFER WITH UNCERTAINTY

摘要

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 [1] 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.