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- W2751618757 abstract "We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimensions. The governing system consists of a steady convection-diffusion equation for the concentration and a generalized steady power-law-type fluid flow model for the velocity and the pressure, where the viscosity depends on both the shear-rate and the concentration through a concentration-dependent power-law index. The aim of the paper is to perform a mathematical analysis of a finite element approximation of this model. We formulate a regularization of the model by introducing an additional term in the conservation-of-momentum equation and construct a finite element approximation of the regularized system. We show the convergence of the finite element method to a weak solution of the regularized model and prove that weak solutions of the regularized problem converge to a weak solution of the original problem." @default.
- W2751618757 created "2017-09-15" @default.
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- W2751618757 date "2017-08-26" @default.
- W2751618757 modified "2023-10-18" @default.
- W2751618757 title "Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index" @default.
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- W2751618757 doi "https://doi.org/10.48550/arxiv.1708.07830" @default.
- W2751618757 hasPublicationYear "2017" @default.
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