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Microchannel reactors are critical in biological plus energy-related applications and require meticulous design of hundreds-to-thousands of fluid flow channels. Such systems commonly comprise intricate space-filling microstructures to…

Computational Engineering, Finance, and Science · Computer Science 2019-11-15 Ercan M. Dede , Yuqing Zhou , Tsuyoshi Nomura

The design and optimization of photobioreactors (PBR) can benefit from the development of robust and yet quantitatively accurate computational models, that incorporate the complex interplay of fundamental phenomena. At a minimum, the…

We report the key findings from numerical solutions of a model of transport within an established perfusion bioreactor design. The model includes a complete formulation of transport with fully coupled convection-diffusion and scaffold cell…

Quantitative Methods · Quantitative Biology 2011-01-12 T. J. Spencer , I. Halliday , C. M. Care , S. H. Cartmell , L. A. Hidalgo-Bastida

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

The goal of this paper is to investigate the validity of a hybrid embedded/homogenized in-silico approach for modeling perfusion through solid tumors. The rationale behind this novel idea is that only the larger blood vessels have to be…

Computational Engineering, Finance, and Science · Computer Science 2021-07-15 Johannes Kremheller , Sebastian Brandstaeter , Bernhard A. Schrefler , Wolfgang A. Wall

We introduce a general-purpose method for optimising the mixing rate of advective fluid flows. An existing velocity field is perturbed in a $C^1$ neighborhood to maximize the mixing rate for flows generated by velocity fields in this…

Fluid Dynamics · Physics 2018-01-30 Gary Froyland , Naratip Santitissadeekorn

An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth is analyzed by exploiting its formal gradient-flow structure. The numerical scheme is based on a two-point flux approximation that preserves the…

Numerical Analysis · Mathematics 2020-01-28 Esther S. Daus , Ansgar Jüngel , Antoine Zurek

The transport of bio-particles in viscous flows exhibits a rich variety of dynamical behaviour, such as morphological transitions, complex orientation dynamics or deformations. Characterising such complex behaviour under well controlled…

With the aim to parallelize and monitor biological or biochemical phenomena, trapping and immobilization of objects such as particles, droplets or cells in microfluidic devices has been an intense area of research and engineering so far.…

The demand for high-performance heat sinks has significantly increased with advancements in computing power and the miniaturization of electronic devices. Among the promising solutions, nanofluids have attracted considerable attention due…

Optimization and Control · Mathematics 2025-01-29 Chih-Hsiang Chen , Kentaro Yaji

Additive manufacturing has enabled the fabrication of advanced reactor geometries, permitting larger, more complex design spaces. Identifying promising configurations within such spaces presents a significant challenge for current…

Computational Engineering, Finance, and Science · Computer Science 2024-06-07 Tom Savage , Nausheen Basha , Jonathan McDonough , James Krassowski , Omar K Matar , Ehecatl Antonio del Rio Chanona

Two-scale homogenization limits of parabolic cross-diffusion systems in a heterogeneous medium with no-flux boundary conditions are proved. The heterogeneity of the medium is reflected in the diffusion coefficients or by the perforated…

Analysis of PDEs · Mathematics 2018-10-18 Ansgar Juengel , Mariya Ptashnyk

We discuss the problem of the optimal design of a micro-tubular fuel cell applying an inverse homogenization technique. Fuel cells are extremely clean and efficient electrochemical power generation devices, made up of a…

Computational Engineering, Finance, and Science · Computer Science 2016-03-29 Gabriel Delgado

We consider the shape optimization of flow fields for electrochemical cells. Our goal is to improve the cell by modifying the shape of its flow field. To do so, we introduce simulation models of the flow field with and without the porous…

In this paper we consider the topology optimization for a bipolar plate of a hydrogen electrolysis cell. We present a model for the bipolar plate using the Stokes equation with an additional drag term, which models the influence of fluid…

Optimization and Control · Mathematics 2025-10-14 Leon Baeck , Sebastian Blauth , Christian Leithäuser , René Pinnau , Kevin Sturm

There is an emerging class of microfluidic bioreactors which possess long-term, closed circuit perfusion under sterile conditions with in vivo-like flow parameters. Integrated into microfluidics, peristaltic-like pneumatically actuated…

Fluid Dynamics · Physics 2017-09-26 T. N. Gerasimenko , O. V. Kindeeva , V. A. Petrov , A. I. Khaustov , E. V. Trushkin

A homogenization approach is proposed for the treatment of porous wall boundary conditions in the computation of compressible viscous flows. Like any other homogenization approach, it eliminates the need for pore-resolved fluid meshes and…

Fluid Dynamics · Physics 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

Flows enabled by phoretic mechanisms are of significant interest in several biological and biomedical processes, such as bacterial motion and targeted drug delivery. Here, we develop a homogenization-based macroscopic boundary condition…

In this work we develop a homogenisation methodology to upscale mathematical descriptions of microcirculatory blood flow from the microscale (where individual vessels are resolved) to the macroscopic (or tissue) scale. Due to the assumed…

Tissues and Organs · Quantitative Biology 2024-01-23 Y. Ben-Ami , B. D. Wood , J. M. Pitt-Francis , P. K. Maini , H. M. Byrne

The dynamics of ecological as well as chemical systems may depend on heterogeneous configurations. Heterogeneity in reaction-diffusion systems often increase modelling and simulating difficulties when non-linear effects are present. One…

Physics and Society · Physics 2019-08-27 Orlando Silva
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