Quantitative Uncertainty Assessment and Numerical Simulation of Micro-Fluid Systems

A stochastic multidimensional code is constructed for the simulation of a multi-component reacting mixture in pressure and electrokinetically-driven microchannel flows. The code is based on a detailed physical formulation that incorporates realistic models for the dependence of mixture properties on...

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Bibliographic Details
Main Authors: Knio, Omar M, Ghanem, Roger G, Matta, Alain, Najm, Habib N, Debusschere, Bert, LeMaitre, Olivier P
Format: Report
Language:English
Subjects:
CHANNEL FLOW
CHAOS
DECOMPOSITION
ELECTROCHEMISTRY
FLUID FLOW
Fluid Mechanics
GALERKIN METHOD
MICROCHANNEL FLOWS
Numerical Mathematics
PC(POLYNOMIAL CHAOS)
PE61101E
POLYNOMIALS
SIMULATION
Statistics and Probability
STOCHASTIC PROCESSES
UNCERTAINTY
UQ(UNCERTAINTY QUALIFICATION)
WUAFRLE1170063
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Summary:A stochastic multidimensional code is constructed for the simulation of a multi-component reacting mixture in pressure and electrokinetically-driven microchannel flows. The code is based on a detailed physical formulation that incorporates realistic models for the dependence of mixture properties on local species concentrations, the variation of the zetapotential with local mixture conditions, and buffer behavior. The stochastic formulation relies on a spectral representation of uncertain quantities, and thus enables propagation and quantification of uncertainty in model parameters and/or operating conditions. Polynomial Chaos (PC) decompositions are used for this purpose, and are used in conjunction with a Galerkin methodology. The new modeling and decision-support capabilities resulting from the combination of a detailed physical model with accurate and efficient uncertainty quantification formalism are demonstrated, in particular, through application of the stochastic code to transient computations of protein-labeling reactions in two-dimensional electrochemical microchannel flow. Thus, this project has established highly efficient uncertainty quantification schemes that are ideally suited for micro-fluidic flows that arise, in particular, in bio-sensing and detection. By adopting a flexible computational methodology, the presently developed UQ tools may be readily adapted to assist in design, evaluation and/or deployment of a wide class of flow devices. Consequently, the impact of the present effort naturally extends well beyond the scope of its immediate applications. The original document contains color images. Sponsored in part by DARPA. Prepared in cooperation with Sandia National Laboratories, Livermore, CA, and Universite d'Evry, Val d'Essonne, Evry, France.