Optimal design for non-Newtonian flows using a topology optimization approach

Authors:
Georg Pingen;Kurt Maute
Affiliations:
Department of Mechanical and Aerospace Engineering, University of Colorado, Colorado Springs, CO 80933, USA;Department of Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309, USA
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 1
Cited 5

A parallel Schur complement solver for the solution of the adjoint steady-state lattice Boltzmann equations: application to design optimisation

International Journal of Computational Fluid Dynamics - Mesoscopic Methods And Their Applications To CFD

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Topology optimization of unsteady incompressible Navier-Stokes flows

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Topology optimization of steady and unsteady incompressible Navier---Stokes flows driven by body forces

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Combination of topology optimization and optimal control method

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Topology optimization of the shear thinning non-Newtonian fluidic systems for minimizing wall shear stress

Computers & Mathematics with Applications

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Abstract

We study non-Newtonian effects on the layout and geometry of flow channels using a material distribution based topology optimization approach. The flow is modeled with the single-relaxation hydrodynamic lattice Boltzmann method, and the shear dependence of viscosity is included through the Carreau-Yasuda model for non-Newtonian fluids. To represent the viscosity of blood in this model, we use non-Newtonian similarity. Further, we introduce a scaling to decrease the effects of the non-Newtonian model in porous regions in order to stabilize the coupling of the LBM porosity and non-Newtonian flow models. For the resulting flow model, we derive the non-Newtonian sensitivity analysis for steady-state conditions and illustrate the non-Newtonian effect on channel layouts for a 2D dual-pipe design problem at different Reynolds numbers.