APPLICATIONS OF CONTINUOUS SENSITIVITY EQUATIONS TO FLOWS WITH TEMPERATURE-DEPENDENT PROPERTIES

An adaptive finite-element solver is used to perform sensitivity analysis for free convection in corn syrup, a fluid with strong temperature dependence of viscosity, conductivity, and specific heat. Results are presented for sensitivity of the flow with respect to parameters describing boundary conditions, the geometry of the domain, and constitutive equations for the physical properties. This model is used to emphasize three applications of sensitivity analysis: its role in identifying key parameters controlling the flow, its use in fast calculation of nearby flows, and its utility in uncertainty analysis.

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