# Topology optimization applied to the development of small scale pump

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## Abstract

Flow machines are very important to industry, being widely used on various processes. Performance improvements are relevant factors and can be achieved by using optimization methods, such as topology optimization. Thus, this work aims to perform the complete development cycle of a small scale pump designed by using topology optimization method. For the pump modelling the finite element method is applied to solve the Navier-Stokes equations on a rotating reference frame. In the optimization phase, it is defined a multi-objective function that aims to minimize the viscous energy dissipation and vorticity. The optimized results obtained by using topology optimization are post-processed and manufactured by using a 3D printer, and prototypes with an electric motor are built. An experimental characterization is performed by measuring fluid flow and pressure head given by the pumps. Experimental and computational results are compared and the improvement is verified.

## Keywords

Flow machine rotor design Topology optimization Navier-Stokes Prototype manufacturing Experimental characterization## Notes

### Acknowledgements

This research was partly supported by CNPq (Brazilian Research Council) and FAPESP (Sao Paulo Research Foundation). The authors thank the supporting institutions. The first author thanks the financial support of FAPESP under grants 2016/19261-7, 2013/24434-0, and 2014/50279-4. The fourth author thanks the financial support of CNPq (National Council for Research and Development) under grant 304121/2013-4. Authors thank the NDF laboratory at Mechanical Engineering Department for sharing the ANSYS license.

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