Math2Market GmbH Hall 7 / M28
Math2Market develops the simulation software GeoDict to model and improve complete filters, filter elements, circular pleated filters, and filter media starting from 3D image data of filter media (µCT, FIB/SEM), CAD models of filter elements, or user-defined media parameters. The models of nonwoven, woven, ceramic, foams, cellulose, glass- and steel-fiber, metal wire mesh, membranes, catalyst honeycombs... are geometrically analyzed and their filtration properties are simulated for many fluids (air, oil, water, fuel, blood...). GeoDict characterizes pore size distribution, bubble point, maximum through pore, fluid flow, particle movement and deposition, MPPS, clogging, and cake formation. GeoDict calculates pressure drop, filter efficiency, and filter capacity.
• resolve complicated filtration issues
• interactively modify the filter models to optimize the filtration process
• optimize the location of air purifiers in offices and classrooms
• automate complex parameter studies
• drastically reduce prototyping and cut time and R&D cost
• substantially accelerate the design and production of innovative filters and media
Math2Market’s GeoDict is the leader in filtration simulation and efficient computer-aided filter design.
Products / Markets
- Filtrations- und Separationsindustrie
- Luft- und Raumfahrtindustrie
- Zellstoff-, Papierindustrie
- Aerospace Industry
- Automotive Industry
- Biotechnology/Biopharmac. Industry
- Energy, Energy Supply
- Environmental Protection
- Filtration and Separation Industry
- Mineral / Oil / Gas Production
- Pulp, Paper Industry
- Textile Industry
- إنتاج المعادن والزيوت والغاز
- الصناعة النسيجية
- الصناعة الورقية
- حماية البيئة
- صناعات الفلترة وفصل المواد
- صناعة الألبان
- صناعة التقنية البيولوجية والبيوصيدلية
- صناعة السيارات
- صناعة الفضاء
- Industrie automobile
- Industrie aérospatiale
- Industrie biotechnologie/biopharmaceutique
- Industrie de filtration et de séparation
- Industrie de la pâte de cellulose et du papier
- Industrie laitière
- Industrie textile
- Productions minérales / pétrolière / du gaz
- Protection de l’environnement
- Energia, approvvigionamento energetico
- Produzioni minerali / petrolio / gas
- Protezione ambientale
- Settore aerospaziale
- Settore automobilistico
- Settore filtrazione e separazione
- Settore industria dell carta e della cellulosa
- Settore industria tessile
- Filtrowanie i separacja
- Ochrona środowiska
- Przemysł celulozowo-papierniczy
- Przemysł energetyczny
- Przemysł lotniczy
- Przemysł samochodowy
- Przemysł tekstylny
- Wydobycie minerałów, ropy i gazu
- Ind. de biotecnologia/biofarmac.
- Indústria aeroespacial
- Indústria automóvel
- Indústria de filtragem e separação
- Indústria leiteira
- Indústria têxtil
- Pasta, indústria do papel
- Produção mineral / óleo / gás
- Protecção ambiental
- Авиакосмическая промышленность
- Автомобильная промышленность
- Биотехнология / Биофармацевтическая промышленность
- Бумажная промышленность
- Добыча минералов/ нефти/ газа
- Защита окружающей среды
- Молочная промышленность
- Отрасль фильтрации и сепарирования
- Текстильная промышленность
- Industria aeroespacial
- Industria de la automoción
- Industria de la biotecnología/biofarmacéutica
- Industria de la filtración y la separación
- Industria de la pasta de madera, el papel
- Industria de los productos lácteos
- Industria textil
- Producción de minerales / petróleo / gas
- Protección del medio ambiente
- Biyoteknoloji/Biyoeczacılık Endüstrisi
- Enerji, Enerji İkmali
- Filtrasyon ve Ayırma Endüstrisi
- Havacılık Endüstrisi
- Mineral / Petrol / Gaz Üretimi
- Otomotiv Endüstrisi
- Selüloz, Kağıt Endüstrisi
- Tekstil Endüstrisi
- Çevre Koruma
- 광물 / 석유 / 가스 생산
- 생명공학/생물 약제학 산업
- 섬유 산업
- 에너지, 에너지 공급
- 여과 및 분리 산업
- 자동차 산업
- 제지, 종이 산업
- 항공우주 산업
- 환경 보호
The GeoDict simulation software of Math2Market is part of the ASTM E2814-18 international standard
MATH2MARKET GmbH is a leader in providing software and consulting solutions for the design of innovative filter media, and for the improvement of filtration processes from its location in Kaiserslautern, Germany, near Frankfurt. Math2Market’s team, with an extensive research background, develops and supplies the GeoDict® software for R&D in numerous industries. For the filtration industry, Math2Market supports pioneering digital filter development and design to improve pressure drop, efficiency, and lifetime of filters, while at the same time greatly reducing, or even eliminating, expensive and time-consuming experimental testing.
Math2Market’s software GeoDict® only needs user-defined specifications, micro-CT and FIB/SEM images of filter media, or CAD models of filter elements to produce structural models of filter elements, pleats, and media (nonwoven, woven, metal and plastic meshes, synthetic media and papers, ceramics, open-cell foams, membranes, gradient materials…). Then, it analyzes pore size distribution, bubble point, fluid flow, pressure drop, particle capture, MPPS, depth filtration, clogging, dust holding capacity, and cake formation in the digital models. Gas filtration (air: DPF, HVAC) or liquid filtration (oil filter, hydraulic filters, sludge filtration, water, blood…) processes are simulated taking into account fluid density and viscosity, Brownian motion, inertial impaction, electrostatic forces, adhesion forces, and particle size and mass distribution. The possibilities of digital non-destructive testing are virtually boundless.
Math2Market software products are a worthwhile new technological strategy, used by internationally renowned manufacturers in the filtration industry to optimize processes, to cut prototyping and R&D costs, to accelerate the design of filters and filter media greatly, and to boost their competitive edge.
Modeling, simulation, and optimization of filter media for protective face masks
In answering the global demand for safe personal protective equipment and the need for faster development and optimization of face masks, we demonstrate in a short video how GeoDict software is applied to design, model, simulate, analyze and optimize the filter media to improve the filter characteristics of face masks.
This unique digital workflow with GeoDict represents an efficient, sustainable and state-of-the-art methodology for digital R&D material design for porous media, explicitly shown here for a filter medium as an example.
These reliable quantitative simulations are the way to a time and cost saving approach for the development of new filter materials and filters with superior lifetime and performance. Development phases can be significantly accelerated thanks to shortened development times. The innovations can be developed much more easily by obtaining digitally unique insights and rich information about material prototypes and their properties, even before manufacturing them.
GeoDict in ASTM E3278-21 International Standard
The simulation software GeoDict is presented in the ASTM E3278-21 international standard to digitally perform bubble point pressure testing of woven wire filter cloth.
Traditionally, the pore diameter is calculated using the measured pressure based on the Young-Laplace equation for the equilibrium of the gas pressure and surface tension forces. However, this equation is only for the perfect model (cylindrical pore, thin film with contact angle of 0°, isopropanol wetting liquid) and must be corrected by either the actual contact angle or a tortuosity factor for the filter cloth.
Alternatively, according to ASTM E3278-21, the software-based calculations of the PoroDict module of GeoDict are obtained through the non-circular cross-section of the bottle neck through-path of the filter cloth. This improves correlation and is able to generate a specific correction factor for each different filter cloth specification.
The ASTM E3278-21 standardizes software-based calculations of pore size through bubble point computations performed with the PoroDict module.
PoroDict quantitatively characterizes pore size, percolation path, tortuosity, bubble point pressure, and other parameters of the pore space, such as Pore Size Distribution (Granulometry and Porosimetry), Chord Length Distribution, open and closed porosity, and geodesic tortuosity.
Math2Market software products are a worthwhile new technological strategy, used by internationally renowned manufacturers in the filtration industry to optimize processes, to cut prototyping and R&D costs, to accelerate the design of filter and filter media greatly, and to boost their competitive edge.
M. Azimian, P. Eichheimer*, A. Weber, A. Wiegmann, Math2Market GmbH, Germany
Presentation at FILTECH 2022 Conference
The recent Covid-19 pandemic showed the necessary demand of filter devices at various scales ranging from face masks to protect human beings from spreading infections as well as providing clean air in interior rooms. For this reason, Math2Market GmbH developed further features in GeoDict software to design, model, simulate and optimize filter media and filter elements at different scales. These features are especially beneficial for many GeoDict users worldwide, which expanded their activities towards digital design of modern and optimized filters.
As shown in Fig. 1, besides design, modeling, simulation and optimization of filter media, single pleat, and filter element, it is now possible to precisely simulate the flow through nano-fibrous media considering slip length on nano fiber surfaces. At the macro-scale, there have been further developed capabilities, especially when simulating the flow through any complicated filter geometry, with or without housing, and also cross-flow filtration simulations e.g., for membranes. Last but not least, solutions for air simulations at room scale considering air purifiers is provided in the GeoDict software...
L. Cheng*, M. Azimian, S. Linden, A. Wiegmann, Math2Market GmbH, Germany
Presentation at FILTECH 2022 Conference
When the air in motion contacts with a solid surface, usually the air is thought to be approaching to a complete stop at the surface, and the velocity is zero relative to the solid surface. However, when the solid is so small that when the air passes the solid, only a fraction of the air molecules contact the surface. As the result, only those molecules have their velocities changed. The remaining air molecules remain their bulk flow motion. When we still consider the air as a continuum, the air velocity near the solid surface is not zero. That is the phenomenon called as slip flow.
The slip flow effect explains the low pressure drop for nanofiber filters because fewer air molecules exchange momentum with the fiber, there is less air drag on the fiber leading to less energy loss. Also because of the slip flow, the flow streamline is closer to the fiber surface and the single fiber efficiency of small particles is increased on nanofiber . Therefore, the slip flow is a very important factor for nanofiber filtration. It must be considered when simulating the nanofiber filtration.
The slip flow was studied historically either with empirical equations or for very simple 1D or 2D structures, which cannot provide detailed information for a complicated 3D fibrous material structure. Cheng et al.  presented the approach to implement slip flow for 3D voxelized structures. In this approach, the expression of the slip velocity, which assumes the slip velocity proportional to the shear stress at the surface, is reformulated for a locally quadratic velocity profile instead of the standard linear profile, and reimplemented in our flow solver. The direct simulation of the slip flow is then possible, and it can be validated with analytic solutions.
The simulation results are compared to the measurement data for nanofiber filters. The influence of slip flow in nanofiber structures then is studied and the results of flow and filtration simulations are presented...
A. Weber*, M. Azimian, Math2Market GmbH, Germany
Presentation at FILTECH 2022 Conference
Since many years, the software GeoDict is used to simulate filtration processes and modeling of filtration media. This includes simulation of the air flow inside the filter as well as tracking particles and simulation of their interaction on the filter surface.
In our newest version - GeoDict 2021 - we have adapted these functionalities for the simulation of Diesel Particulate Filters and Catalyst Monoliths. For example, new ways of modeling monolithic structures, detailed diffusive movement statistics, and 1st order reaction simulation are now available. These improvements aim to model and optimize air flow, soot filtering, and noxious gas reduction in exhaust gas systems.
Exhaust gas treatment bears many challenging problems at different scales. From the larger scale, where macroscopic flow through the monolith channels is of interest, down to the diffusive movement between and even inside the highly porous ceramic grains. Surely, completely different effects take place at each scale. Nevertheless, GeoDict simulates all those effects through different modeling and simulation modules.
At different scales and using various modules, we present some examples on how:
- The flow passes through a plugged or un-plugged monolith
- The molecules interact with the washcoat layer and the catalytic centers within
- The catalytic reaction is simulated in the micro scale
In essence, we show how GeoDict helps optimizing the catalytic and filtration efficiency....
D. Hoch*, J. Niessner, Heilbronn University of Applied Sciences, A. Weber*, Math2Market GmbH, Germany
Presentation at FILTECH 2022 Conference
Today aerosols are produced in many industrial processes like machining or in pneumatic compressors. The harmfulness of these industrially produced droplets often lies in the liquid itself as it can be toxic or cancerous while exhaled natural aerosols can carry viruses or other pathogens. For health protection, the filtration of these aerosols is an important task. The wetting properties of the fibers have a large influence on the filtration efficiency and coalescence of droplets on the fibers. Oleophilic fibers are better in capturing the oil aerosols while the drainage increases with oleophobic fibers. For improved efficiency and drainage properties, a mixed-wet fiber system could therefore be advantageous.
Deposition of droplets and the resulting coalescence is highly complex and extremely dependent on the wetting properties. Describing these processes in filter-scale simulations is computationally extremely demanding, if not infeasible. We present a new approach for simulating oil mist deposition and droplet coalescence correctly accounting for the wettability of the fibers, especially for mixed-wet filter media. The aim is to gain a more realistic pressure loss of a fibrous filter structure which takes the presence of the filtered phase into account as well as the coalescence of the liquid phase on the fibers depending on the wettability and the fluid parameters...
GeoDict - A part of the ASTM International Standard E2814-18
GeoDict User Meeting 2020 - Innovations in GeoDict 2021
DE #digitization #GeoDict GeoDict for Filtration - Filter Life-Time Prediction
Optimizing the location of air purifiers with GeoDict
Introduction to workshop on simulation of exhaust treatment
Workshop on Simulation of particulate flows through whole filter with housing
Design, modelling, simulation and optimization of filter media for face masks with GeoDict
Multiscale filtration simulation: micro, meso, macro, and room scale
Simulation of filtration of protective face masks
Simulation of filtration of particles in oil filter