Počet nalezených dokumentů: 2094
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Improvement of an unbaffled stirred tank mixing characteristics using variable speed impeller
Gebouský, Ondřej; Haidl, Jan; Bodnár, J.; Pivokonský, Martin
2024 - anglický
Unbaffled mixing tanks with magnetically driven impellers are increasingly used in biotechnological and pharmaceutical industries, combining the benefits of a closed, sterile environment with easy equipment cleanability. On the other hand, missing internals, such as baffles or cooling coils, have an adverse effect on the equipment mixing characteristics, namely the batch\nhomogenization time. In our previous research, we uncovered that the eccentricity and inclination of the impeller – both employed routinely to enhance the mixing characteristics of unbaffled vessels – are not fully effective in the suppression of central vortex formation resulting in the increase in the homogenization time. In this work, we propose a simple solution to counteract the central vortex formation – a periodical variation of impeller rotational speed. This approach destabilizes the central vortex, significantly reducing homogenization time while maintaining the benefits of the original unbaffled setup. This innovation can seamlessly integrate into existing industrial setups, promising efficiency gains for biotech and pharmaceutical production. Klíčová slova: unbaffled mixing tanks; variable rotational speed; vortex destabilization; mixing time improvement Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Improvement of an unbaffled stirred tank mixing characteristics using variable speed impeller

Unbaffled mixing tanks with magnetically driven impellers are increasingly used in biotechnological and pharmaceutical industries, combining the benefits of a closed, sterile environment with easy ...

Gebouský, Ondřej; Haidl, Jan; Bodnár, J.; Pivokonský, Martin
Ústav pro hydrodynamiku, 2024

Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements
Vacek, Karel; Sváček, P.
2024 - anglický
This paper addresses the problem of fluid flow interacting a vibrating solid cylinder described by one degree of freedom system and with fixed airfoil. The problem is described by the incompressible Navier-Stokes equations written in the arbitrary Eulerian-Lagrangian (ALE) formulation. The ALE mapping is constructed with the use of a pseudo-elastic approach. The flow problem is numerically approximated by the finite element method (FEM). For discretization of the fluid flow, the results obtained by both the Taylor-Hood (TH) element and the Scott-Vogelius (SV) finite element are compared. The TH element satisfies the Babuška-Brezzi inf-sup condition, which guarantees the stability of the scheme. In the case of the SV element the mesh, that is created as a barycentric refinement of regular triangulation, is used to satisfy the Babuška-Brezzi condition. The numerical results for two benchmark problems are shown. Klíčová slova: finite element method; arbitrary Lagrangian-Eulerian method; Scott-Vogelius element; Taylor-Hood element Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements

This paper addresses the problem of fluid flow interacting a vibrating solid cylinder described by one degree of freedom system and with fixed airfoil. The problem is described by the incompressible ...

Vacek, Karel; Sváček, P.
Matematický ústav, 2024

Flow simulations approach for flocculation tanks
Idžakovičová, Kristýna; Bílek, Vojtěch; Haidl, Jan; Isoz, M.; Pivokonský, Martin
2024 - anglický
Flocculation in water treatment facilities plays a key role in the separation of colloidal inorganic and organic substances. Its optimization leads to a significant increase in its efficiency and savings of operational costs. However, it is currently based on trial-and-error experimental approaches. In this contribution, we focus on flow modeling in stirred flocculation tanks that would, after coupling with a calibrated model of particle aggregation, enable simulationbased flocculation optimization. Despite the abundance of literature on stirred tank modeling, there is no universal agreement on the methodology used to describe turbulence nor on the approach to the computational mesh creation. Consequently, there is no unified methodology for simulations and their validation. To address this, we present a best-practice methodology for economical, yet reliable flow simulations in the said device. This methodology includes the choice of the turbulence model, the approach to the design of a high quality mesh suitable for arbitrary geometries, and results evaluation. It is developed based on an extensive literature review, a multitude of flow simulations using several meshes of progressively higher quality and resolution, and various strategies to converge to steady-state flow conditions. The simulation quality indicators used here involve comparison with the experimental data on fluid velocity, stirrer power output, and flow rate through the impeller zone. Additionally, the resulting flow simulation models are compared using tracer transport simulations, hinting at their potential for coupling with particle aggregation models. Klíčová slova: flocculation tank; stirring; MRF; CFD; OpenFOAM Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Flow simulations approach for flocculation tanks

Flocculation in water treatment facilities plays a key role in the separation of colloidal inorganic and organic substances. Its optimization leads to a significant increase in its efficiency and ...

Idžakovičová, Kristýna; Bílek, Vojtěch; Haidl, Jan; Isoz, M.; Pivokonský, Martin
Ústav pro hydrodynamiku, 2024

Numerical study of the steady airflow in the human respiratory system during inhaling and exhaling
Lancmanová, Anna; Bodnár, Tomáš
2024 - anglický
This paper presents some of the initial results of the numerical simulations of a steady turbulent flow in human upper airways during inhalation and exhalation. The mathematical model is based on the system of Reynolds-Averaged incompressible Navier-Stokes equations complemented by the SST k − ω turbulence model. The simulations were performed using finite-volume open source solver OpenFOAM on a realistic three-dimensional geometry. The main aim of this particular study is to verify the computational setup with special focus on appropriate choice and implementation of boundary conditions. The prescribed boundary conditions are chosen to mimic the physiological conditions during normal breathing cycle. This study aims to gain an insight into the airflow behavior during the inhalation and exhalation process by comparing the results of two distinct simulations corresponding to two different (opposite) flow rates . The obtained local flow rates and flow fields for both cases are presented and mutually compared. This initial work should serve as a foundation for future more complex simulations that will include the time-dependent and compressible effects. Klíčová slova: human airways; incompressible Navier-Stokes; OpenFOAM Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Numerical study of the steady airflow in the human respiratory system during inhaling and exhaling

This paper presents some of the initial results of the numerical simulations of a steady turbulent flow in human upper airways during inhalation and exhalation. The mathematical model is based on the ...

Lancmanová, Anna; Bodnár, Tomáš
Matematický ústav, 2024

Numerical evaluation of mass-diffusive compressible fluids flows models
Bodnár, Tomáš; Fraunié, P.
2024 - anglický
This contribution presents first numerical tests of some recently published alternative models for solution of viscous compressible and nearly incompressible models. All models are solved by high resolution compact finite difference scheme with strong stability preserving RungeKutta time stepping. The two simple but challenging computational test cases are presented, based on the double-periodic shear layer and the Kelvin-Helmholtz instability. The obtained time-dependent flow fields are showing pronounced shear and vorticity layers being resolved by the standard as well as by the new mass-diffusive modified models. The preliminary results show that the new models are viable alternative to the well established classical models. Klíčová slova: compressible Navier-Stokes; nearly incompressible flow; mass diffusion; compact finite-difference Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Numerical evaluation of mass-diffusive compressible fluids flows models

This contribution presents first numerical tests of some recently published alternative models for solution of viscous compressible and nearly incompressible models. All models are solved by high ...

Bodnár, Tomáš; Fraunié, P.
Matematický ústav, 2024

Motion of fluids in the moving domain
Nečasová, Šárka
2024 - anglický
It is a survay paper where the problem of the existence of weak solutions of compressible barotropic solutions in a moving bounded domain is studied. Klíčová slova: compressible fluid; moving domain; weak solutions Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Motion of fluids in the moving domain

It is a survay paper where the problem of the existence of weak solutions of compressible barotropic solutions in a moving bounded domain is studied.

Nečasová, Šárka
Matematický ústav, 2024

Some modifications of the limited-memory variable metric optimization methods
Vlček, Jan; Lukšan, Ladislav
2023 - anglický
Several modifications of the limited-memory variable metric (or quasi-Newton) line search methods for large scale unconstrained optimization are investigated. First the block version of the symmetric rank-one (SR1) update formula is derived in a similar way as for the block BFGS update in Vlˇcek and Lukˇsan (Numerical Algorithms 2019). The block SR1 formula is then modified to obtain an update which can reduce the required number of arithmetic operations per iteration. Since it usually violates the corresponding secant conditions, this update is combined with the shifting investigated in Vlˇcek and Lukˇsan (J. Comput. Appl. Math. 2006). Moreover, a new efficient way how to realize the limited-memory shifted BFGS method is proposed. For a class of methods based on the generalized shifted economy BFGS update, global convergence is established. A numerical comparison with the standard L-BFGS and BNS methods is given. Klíčová slova: unconstrained minimization; variable metric methods; limited-memory methods; variationally derived methods; arithmetic operations reduction; global convergence Plné texty jsou dostupné v digitálním repozitáři NUŠL
Some modifications of the limited-memory variable metric optimization methods

Several modifications of the limited-memory variable metric (or quasi-Newton) line search methods for large scale unconstrained optimization are investigated. First the block version of the symmetric ...

Vlček, Jan; Lukšan, Ladislav
Ústav informatiky, 2023

GA 19-07635S: Outputs and Results
Rehák, Branislav
2023 - anglický
This manuscript aims to deliver a survey of results obtained during the solution of the project No. GA19-07635S of the Czech Science Foundation. The timespan dedicated to the work on this project was 1.3.2019 - 30.6.2022. The main area dealt with were\nnonlinear multi-agent systems and their synchronization, further, attention was paid to some auxiliary results in the area of nonlinear observers. This Report briefly introduces the Project, provides a summary of the results obtained and also sketches an outline how these results will be applied and extended in future. Klíčová slova: multi-agent systems; nonlinear multi-agent systems; synchronization Dokument je dostupný na externích webových stránkách.
GA 19-07635S: Outputs and Results

This manuscript aims to deliver a survey of results obtained during the solution of the project No. GA19-07635S of the Czech Science Foundation. The timespan dedicated to the work on this project was ...

Rehák, Branislav
Ústav teorie informace a automatizace, 2023

Zapojení rašelinišť do odtoku z povodí
Vlček, Lukáš; Falátková, Kristýna
2023 - český
Příspěvek se věnuje hydrologickému režimu povodí, kde rašeliniště tvoří přibližně polovinu rozlohy. Pomocí modelu byly hodnoceny hydrologické procesy v rašeliništi a okolním lese. Z výsledků vyplývá, že rašeliniště výrazně zvyšuje fluktuaci vodního režimu místních toků. Vodní bilance zase ukazuje snížený ochalozovací efekt rašelinišť bez stromového patra oproti lesům na organominerální půdě. Revitalizace rašelinišť tak může mít kromě pozitivního ekologického aspektu negativní hydroogický dopad na okolní krajinu a místní toky. This research focuses on the basin's hydrological regime, where peatlands make up approximately half of the area. Hydrological processes in the peat bog and the surrounding forest were evaluated using the HBV model. The results show that the peatlands significantly increase the water regime fluctuation of local streams. Moreover, water balance shows a lower cooling effect of tree-less peat bogs than forests on organo-mineral soils. Except for a positive ecological aspect, peatland restoration can have a negative hydrological impact on the surrounding landscape and local streams. Klíčová slova: water balance; peat bog; runoff formation Dokument je dostupný na externích webových stránkách.
Zapojení rašelinišť do odtoku z povodí

Příspěvek se věnuje hydrologickému režimu povodí, kde rašeliniště tvoří přibližně polovinu rozlohy. Pomocí modelu byly hodnoceny hydrologické procesy v rašeliništi a okolním lese. Z výsledků vyplývá, ...

Vlček, Lukáš; Falátková, Kristýna
Ústav pro hydrodynamiku, 2023

Časová proměnlivost hydraulických vlastností půdy a jejich vliv na odhad půdní vlhkosti
Šípek, Václav; Vlček, Lukáš; Tesař, Miroslav; Zelíková, Nikol; Hnilica, Jan
2023 - český
Půdní vlhkost hraje významnou roli v hydrologickém cyklu, protože zásadně ovlivňuje proudění vody v systému voda-půda-rostlina. Studie je zaměřena na celoroční odhad nasycení půdního profilu vodou v zalesněném horském území s využitím jednoduchého modelu založenému na konceptu lineární nádrže. Studie je založena na terénním měření nasycené hydraulické vodivosti a zavedení periodické funkce nasycené hydraulické vodivosti do modelu půdní vlhkosti, která možní její sezónní proměnlivost. \nPrůměrná nasycená hydraulická vodivost měřená jednoválcovým infiltrometrem byla v průběhu dvou let vždy vyšší ve vegetačním období, kdy se pohybovala od 33,6 do 44,8 cm hod-1, oproti zimním období, kdy poklesla do rozmezí 13,2 až 22,3 cm hod-1. Do modelu půdní vlhkosti byla implementována funkce, která umožnila spojitou změnu nasycené hydraulické vodivosti s maximem ve vegetační sezóně a minimum v zimním období. Tato modifikace modelu půdní vlhkosti vedla k poklesu průměrné čtvercové chyby odhadu půdní vlhkosti o 33,2 % (z 0,034 cm3cm-3 na 0,023 cm3cm-3) a nárůstu hodnoty Nash-Sutcliffova koeficientu z 0,34 na 0,68. Výsledky studie přispějí k přesnějšímu celoročnímu odhadu půdní vlhkosti, a tedy i ke zlepšení dlouhodobých simulací vlivu klimatické změny na dostupnost vodních zdrojů.\n The study was focused on the temporal variability of saturated hydraulic conductivity in an experimental plot covered by spruce forest and investigated benefits of its incorporation into soil water balance model. The results showed that the higher saturated hydraulic conductivity (33.6-44.8 cm hr-1) was observed in summer period compared to lower values (13.2-22.3 cm hr-1) in the winter period. The use of seasonally variabile saturated hydraulic conductivity improved the efficiency of soil water balance model in terms of lower root mean square error between observed and simulated volumetric soil water content by 33.2 %. The Nash-Sutcliffe coefficient rose from 0.34 to 0.68. Klíčová slova: soil moisture; soil hydraulic properties; saturated hydraulic conductivity; climate change Dokument je dostupný na externích webových stránkách.
Časová proměnlivost hydraulických vlastností půdy a jejich vliv na odhad půdní vlhkosti

Půdní vlhkost hraje významnou roli v hydrologickém cyklu, protože zásadně ovlivňuje proudění vody v systému voda-půda-rostlina. Studie je zaměřena na celoroční odhad nasycení půdního profilu vodou v ...

Šípek, Václav; Vlček, Lukáš; Tesař, Miroslav; Zelíková, Nikol; Hnilica, Jan
Ústav pro hydrodynamiku, 2023

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