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Related papers: Shape Sensitivity Analysis for a Microchannel Cool…

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As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

Machine Learning · Computer Science 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

Microchannel heat sinks are an efficient cooling method for semiconductor packages. However, to properly cool increasingly complex and thermally dense circuits, microchannel designs should be improved and expanded on. In this paper,…

Fluid Dynamics · Physics 2022-12-12 Ante Sikirica , Luka Grbčić , Lado Kranjčević

We develop an optimization-based approach to the problem of reconstructing temperature-dependent material properties in complex thermo-fluid systems described by the equations for the conservation of mass, momentum and energy. Our goal is…

Fluid Dynamics · Physics 2013-04-11 Vladislav Bukshtynov , Bartosz Protas

We analyze cavity-assisted cooling schemes for polar molecules in the microwave domain, where molecules are excited on a rotational transition and energy is dissipated via strong interactions with a lossy stripline cavity, as recently…

Quantum Physics · Physics 2009-12-21 Margareta Wallquist , Peter Rabl , Mikhail D. Lukin , Peter Zoller

We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the domain is obtained by moving the level-set along a velocity…

Numerical Analysis · Mathematics 2019-02-05 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics applications. The condenser consists of a set of…

Numerical Analysis · Mathematics 2015-06-19 Riccardo Sacco , Lucia Carichino , Carlo de Falco , Maurizio Verri , Francesco Agostini , Thomas Gradinger

We consider the problem of finding optimal shapes of fluid domains. The fluid obeys the Navier--Stokes equations. Inside a holdall container we use a phase field approach using diffuse interfaces to describe the domain of free flow. We…

Optimization and Control · Mathematics 2014-05-15 Harald Garcke , Claudia Hecht , Michael Hinze , Christian Kahle

The shape of a microchannel is usually affected by a significant uncertainty due to the small size of the cross-section, comparable with the typical wall-roughness length scale. Such an uncertainty is present at any scale, but it is…

Fluid Dynamics · Physics 2024-06-18 A. Barletta , M. Celli , L. A. Sphaier , P. V. Brandao , S. Lazzari , E. Ghedini

We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of…

Analysis of PDEs · Mathematics 2015-04-01 Jan Sokolowski , Jan Stebel

Within the framework of building energy assessment, this article proposes to use a derivative based sensitivity analysis of heat transfer models in a building envelope. Two, global and local, estimators are obtained at low computational…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Ainagul Jumabekova , Julien Berger , Aurélie Foucquier

Mantle convection simulations are an essential tool for understanding how rocky planets evolve. However, the poorly known input parameters to these simulations, the non-linear dependence of transport properties on pressure and temperature,…

Earth and Planetary Astrophysics · Physics 2025-05-23 Siddhant Agarwal , Ali Can Bekar , Christian Hüttig , David S. Greenberg , Nicola Tosi

The shape of a microchannel during flow through it is instrumental to understanding the physics that govern various phenomena ranging from rheological measurements of fluids to separation of particles and cells. Two commonly used approaches…

We investigate the optimal shapes of the hydrodynamic resistance of a rigid body set in motion in a Stokes flow. In this low Reynolds number regime, the hydrodynamic drag properties of an object are encoded in a finite number of parameters…

Fluid Dynamics · Physics 2022-07-14 Clment Moreau , Kenta Ishimoto , Yannick Privat

This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state…

Fluid Dynamics · Physics 2015-08-19 Joe Alexandersen , Niels Aage , Casper Schousboe Andreasen , Ole Sigmund

Many computational studies on hotspot microfluidic cooling devices found in the literature rely on simplified assumptions and conventions that do not capture the full complexity of the conjugate thermal problem, such as constant…

Fluid Dynamics · Physics 2024-05-09 L. G. Chej , A. G. Monastra , M. F. Carusela

Free-form shape optimization techniques are investigated to improve the separation efficiency of structured packings in laboratory-scale distillation columns. A simplified simulation model based on computational fluid dynamics (CFD) for the…

In this article we consider shape optimization problems as optimal control problems via the method of mappings. Instead of optimizing over a set of admissible shapes a reference domain is introduced and it is optimized over a set of…

Optimization and Control · Mathematics 2021-06-09 Johannes Haubner , Martin Siebenborn , Michael Ulbrich

Accelerated cooling is a key technology in producing thermomechanically controlled processed (TMCP) steel plates. In a TMCP process hot plates are subjected to a strong cooling what results in a complex microstructure leading to increased…

Numerical Analysis · Mathematics 2019-12-30 Dimitri Rothermel , Thomas Schuster , Roland Schorr , Martin Peglow

In this paper we describe a numerical framework for achieving passive thermal cloaking of arbitrary shapes in both static and transient regimes. The design strategy is cast as the solution of an optimal control problem (OCP) for the heat…

Optimization and Control · Mathematics 2024-06-11 Riccardo Saporiti , Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin

In this study, a shape optimization problem for the two-dimensional stationary Navier--Stokes equations with an artificial boundary condition is considered. The fluid is assumed to be flowing through a rectangular channel, and the…

Optimization and Control · Mathematics 2021-08-10 John Sebastian H. Simon , Hirofumi Notsu