Simulation of Incompressible Non-Newtonian Flows Through Channels with Sudden Expansion Using the Power-Law Model

Simulation of Incompressible Non-Newtonian Flows Through Channels with Sudden Expansion Using the Power-Law Model

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The goal of this work is to analyze incompressible Newtonian and non-Newtonian flows through channels with sudden expansion.The governing equations are solved using the finite-differences explicit Runge-Kutta time-stepping scheme in nondimensionalized form in which continuity and momentum are solved Model Truck simultaneously along the grid points.The power-law model is applied to predict pseudoplastic (shear-thinning) and dilatant (shear-thickening) behavior in such expansions.The critical Reynolds number, in which the solution becomes asymmetric, is analyzed.

Numerical results for a 3 : 1 expansion show good agreement with other numerical tests found in the literature for Reynolds numbers ranging Sugar And Salt Substitutes from 40 to 140 for Newtonian flow.For the non-Newtonian case, a comparison with an analytical solution is presented.