TY - JOUR
T1 - Field sensitivity of flow predictions to rheological parameters
AU - Freund, J. B.
AU - Kim, J.
AU - Ewoldt, R. H.
N1 - Funding Information:
This material is based in part upon work supported by the Department of Energy, National Nuclear Security Administration , under Award Number DE-NA0002374 . We are similarly grateful to the Procter & Gamble Company for support of J.K. For rheometry data, Carreau model selection and fit parameters, and experimental sphere velocities we thank Piyush Singh, Anthony Margotta, and Scott Rogman.
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/7
Y1 - 2018/7
N2 - A formulation is developed, based on the adjoint governing equations, for efficiently computing the spatially dependent sensitivity of a quantity of interest in a flow to the parameters of a rheological model for the fluid. It is demonstrated for the viscous resistance of a sphere moving within a fluid-filled round tube, both for a Carreau model for Carbopol and a four-parameter Moore model for a generic thixotropic fluid. The field sensitivity information provided is valuable for quantifying the relative importance of different underlying physical mechanisms of the fluid and their respective roles in different regions of the flow, for directing rheological characterization to improve fidelity for a particular prediction, for inferring rheological properties from indirect measurements, and in aiding the design of fluids to meet objectives.
AB - A formulation is developed, based on the adjoint governing equations, for efficiently computing the spatially dependent sensitivity of a quantity of interest in a flow to the parameters of a rheological model for the fluid. It is demonstrated for the viscous resistance of a sphere moving within a fluid-filled round tube, both for a Carreau model for Carbopol and a four-parameter Moore model for a generic thixotropic fluid. The field sensitivity information provided is valuable for quantifying the relative importance of different underlying physical mechanisms of the fluid and their respective roles in different regions of the flow, for directing rheological characterization to improve fidelity for a particular prediction, for inferring rheological properties from indirect measurements, and in aiding the design of fluids to meet objectives.
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U2 - 10.1016/j.jnnfm.2018.03.013
DO - 10.1016/j.jnnfm.2018.03.013
M3 - Article
AN - SCOPUS:85045439056
SN - 0377-0257
VL - 257
SP - 71
EP - 82
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
ER -