Topology optimisation for rotor-stator fluid flow devices

Author(s)

Moscatelli, Eduardo ; Alonso, Diego Hayashi ; Nogueira de Sa, Luis Fernando ; Picelli, Renato ; Nelli Silva, Emilio Carlos

• Document type: Journal article
• Source: STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION; v. 65, n. 5, p. 23-pg., 2022-05-01.

Abstract

Multi-component devices such as flow machines, heat exchangers, and electric motors present parts with different physical properties and operating in different states. Optimisation algorithms may improve the performance of these devices, and the simultaneous optimisation of a set of parts may harness the interaction of these parts to generate improved designs. Particularly, rotating flow devices such as pumps and turbines present rotating and stationary components. If a description of the fluid flow between the rotating and stationary parts is desired, it is necessary to model solid at different velocities. However, the standard topology optimisation formulation for fluid flow problems considers only a single stationary solid or a single rotating solid in a rotating reference frame. Thus, this work proposes a topology optimisation formulation capable of solving fluid flow problems with different solid velocities. The idea is to add mutually exclusive Darcy terms to the linear momentum equation. Each Darcy term models a different rotation and only one term may be active at each element. The method uses two discrete design variable fields. The moving limits of the optimisation algorithm are adjusted to handle the two discrete design variable fields, and extra constraints are added to ensure proper phase transitions. The algorithm is applied to two design problems: a Tesla pump and a labyrinth seal. The governing equations are solved by the Finite Element Method, and the optimisation is solved by an approach based on the Topology Optimisation of Binary Structures (TOBS) algorithm, with each linearized subproblem being solved through integer linear programming with a branch-and-bound algorithm. (AU)

• FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Research Centers in Engineering Program
• FAPESP's process: 19/01685-3 - Addressing Design Challenges of Offshore Structures via Multiphysics Topology Optimization
• Grantee: Renato Picelli Sanches
• Support Opportunities: Scholarships in Brazil - Young Researchers
• FAPESP's process: 18/05797-8 - Addressing design challenges of offshore structures via Multiphysics topology optimization
• Grantee: Renato Picelli Sanches
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 21/02340-0 - Topology optimization to design labyrinth seals considering turbulent flow and fluid-structure interaction with binary variables
• Grantee: Eduardo Moscatelli de Souza
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 13/24434-0 - Electromagnetic propeller systems for implantable artificial heart and mechanical circulatory support devices
• Grantee: José Roberto Cardoso
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 17/27049-0 - Topology optimization method applied to the design of rotor and volute of ventricular assist devices based on the viscosity effect (Tesla principle)
• Grantee: Diego Hayashi Alonso
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• FAPESP's process: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Research Centers in Engineering Program