On the Use of Lattice-Boltzmann Model for Simulating Lid-Driven Cavity Flows of Strain-hardening Fluids

概要

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The effect of a fluids strain-hardening behavior is investigated on the flow kinematics inside a two-dimensional square cavity. A special form of the Generalized Newtonian Fluid model (referred to as Pinho model) is used in which the strain-hardening behavior of the fluid is accounted for by incorporating a strain-rate term in the power-law viscosity function. Use will be made of the incompressible Lattice Boltzmann Model (LBM) to numerically solve the governing equations. Converged results could be obtained at Reynolds numbers up to Re = 5000 showing that the strain-hardening behavior has indeed a strong effect on the flow kinematics. The size of the corner vortices is predicted to decrease by an increase in the strain-hardening behavior of the fluid. It is also predicted that the streamline pattern becomes quite symmetric by an increase in the fluids strain-hardening behavior.