### Abstract

The focus of this work is on passive control of transient heat transfer problems using the topology optimization (TopOpt) method [1]. The goal is to find distributions of a limited amount of phase change material (PCM), within a given design domain, which optimizes the heat energy storage [2]. Our aim is to obtain manufacturable designs [3] as well as demonstrating TopOpt for mixed multiphysics problems [4].TopOpt provides material distributions in a given design domain, optimized with respect to a given objective and satisfying a set of constraints. Originating in static mechanical problems, TopOpt has later been extended to transient problems in mechanics and photonics (e.g. [5], [6] and [7]). In the presented approach, the optimization is gradient-based, where in each iteration the non-steady heat conduction equation is solved,using the finite element method and an appropriate time-stepping scheme. A PCM can efficiently absorb heat while keeping its temperature nearly unchanged [8]. The use of PCM ine.g. electronics [9] and mechanics [10], yields improved performance and lower costs depending on a.o., the spatial distribution of PCM.The considered problem consists in optimizing the distribution of PCM in a design domain, subject to a periodic heat influx. The objective is to stabilize the heat outflow. Application examples include keeping constant room temperature for oscilatory heat input or keeping constant working temperature of a CPU subjected to time varying computational load.

Original language | English |
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Publication date | 2016 |

Number of pages | 1 |

Publication status | Published - 2016 |

Event | ECCOMAS Congress 2016: VII European Congress on Computational Methods in Applied Sciences and Engineering - Creta Maris Conference Center, Hersonissos, Greece Duration: 5 Jun 2016 → 10 Jun 2016 https://www.eccomas2016.org/ |

### Conference

Conference | ECCOMAS Congress 2016 |
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Location | Creta Maris Conference Center |

Country | Greece |

City | Hersonissos |

Period | 05/06/2016 → 10/06/2016 |

Internet address |

## Cite this

Zeidan, S., Sigmund, O., & Lazarov, B. S. (2016).

*Topology optimization for transient heat transfer problems*. Abstract from ECCOMAS Congress 2016, Hersonissos, Greece.