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Mixing Patterns

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Mixing patterns refer to the spatial and temporal distribution of different substances or phases within a medium, often studied in fields such as fluid dynamics, environmental science, and materials science. These patterns influence the efficiency of mixing processes and the resulting properties of the mixture.
lightbulbAbout this topic
Mixing patterns refer to the spatial and temporal distribution of different substances or phases within a medium, often studied in fields such as fluid dynamics, environmental science, and materials science. These patterns influence the efficiency of mixing processes and the resulting properties of the mixture.

Key research themes

1. How can mathematical and computational modeling improve the understanding and prediction of mixing processes in powders and granular materials?

This research area focuses on developing and applying computational methods such as Discrete Element Method (DEM), Markov chain models, and analytic tools to model the dynamics of powder mixing and granular flows. Accurately simulating mixing processes is critical for industrial applications involving granular or powder materials, where segregation phenomena and equipment design challenges arise. The studies provide mechanistic insight into mixing efficiency, segregation control, and process optimization.

Key finding: This paper developed mesoscopic Markov chain models to simulate powder flow and mixing in a Gericke 500 GCM® continuous mixer, capturing variations in holdup weights, outflow rates, and component distributions during... Read more
Key finding: Using DEM simulations validated by experiments, this paper analyzed the mixing efficiency of bi-disperse, tri-disperse, and poly-disperse particles in a slant cone mixer. It quantified how initial loading configurations,... Read more
Key finding: Applying DEM to an industrial Lindor mixer, this study introduced contact-based metrics (e.g., contact number ratio q1) and the Generalized Mean Mixing Index (GMMI) to quantify mixing quality over time and space. The work... Read more
Key finding: This study experimentally investigated powder mixing using static mixers, highlighting that homogenization arises from repetitive splitting and rearranging of the powder stream with minimal shear forces. It emphasized the... Read more
Key finding: This work combined DEM simulations and a semi-empirical segregation velocity model to identify conditions where opposing size- and density-driven segregation mechanisms balance, leading to non-segregating bidisperse mixtures.... Read more

2. What role do geometric, dynamical system, and pattern-based theories play in understanding and enhancing mixing processes across fluid and granular media?

This theme covers the conceptual and mathematical framework of mixing, emphasizing patterns, geometric phases, piecewise isometries, and resonances that govern mixing dynamics. By leveraging theoretical constructs such as geometric phases in Stokes flows, spherical PWIs in granular mixing, or pattern languages from software engineering applied to complex systems, researchers seek to characterize, predict, and optimize mixing beyond empirical approaches. These insights inform the design of mixers and elucidate fundamental mixing mechanisms.

Key finding: This paper reviews the origins and applications of pattern theory from formal software modeling to complex systems, emphasizing that patterns capture expertise and provide reusable design knowledge. Pattern descriptions for... Read more
Key finding: Analyzing fluid mixing in low Reynolds number Stokes flows, where inertia is negligible and flow reversal leads to unmixing, this paper introduces a geometric phase framework. It mathematically demonstrates how stirring... Read more
Key finding: This paper presented an analytical method to locate non-mixing regions and resonances in orientation-preserving spherical piecewise isometries (PWIs) arising in granular mixing in a biaxial tumbler. It showed that certain... Read more

3. How can mixing performance be enhanced and optimized in fluid and multiphase systems through shape, stirring strategies, and micro-mixing designs using computational optimization and machine learning?

This area investigates methods to improve mixing efficiency and homogeneity leveraging computational fluid dynamics, PDE-constrained optimization, machine learning, and microfluidic device design. By optimizing stirrer shapes, protocols, and leveraging split-and-recombine mechanisms, researchers aim to generate complex vortical structures and filamentation that accelerate mixing. Machine learning is applied to predict mixing quality and identify optimal control strategies in micro- and macro-scale mixing systems for industrial and biomedical applications.

Key finding: Using a PDE-constrained gradient-based optimization framework, this study optimized stirrer cross-sectional shapes and stirring velocity protocols to enhance binary fluid mixing under energy constraints. The optimized... Read more
Key finding: This work proposed and validated a micro-mixer based on multi-step split-and-recombine (SAR) operations achieving nearly ideal multilamination. The mixer attained positive finite-time Lyapunov exponents characteristic of... Read more
Key finding: Combining DEM simulations with machine learning regression models, this study predicted the mixing quality of customized powder detergents mixed in a Turbula®-based mixer. The approach enabled real-time prediction of mixing... Read more

All papers in Mixing Patterns

The effect of slurry mixing in an anaerobic digester on biogas production was intensively studied in the last few years. This subject is still debatable due to fact that this process involves three phases, solid-gas-liquid, along with the... more
This paper is a critical evaluation of the effect of mixing on biogas production rates in an anaerobic digester. Mixing plays a prominent role in determining the efficiency of the anaerobic digestion process. This review analyzes the... more
Significance A central theme of network science is the heterogeneity present in real-life systems, for instance through the absence of a characteristic degree for the nodes. Despite their small-worldness, networks may present other types... more
This article studies the dynamics of the development of legal term abbreviations used in the discourse of modern English and Uzbek languages and their structural classification. In this work, the abbreviation is structurally described... more
Microalgae are fast growing photoynthetic microorganisms and it have very wide range of industrial applications such as biofuels and wastewater treatment. These cells can be grown in a wide variety of systems ranging from open culture... more
Background Most countries have enacted some restrictions to reduce social contacts to slow down disease transmission during the COVID-19 pandemic. For nearly two years, individuals likely also adopted new behaviours to avoid pathogen... more
Assortativity by degree for complex networks is quantified by the Newman coefficient, and it describes a tendency for nodes to be connected to others with a similar degree. A generalization of the assortativity index has been proposed in... more
Assortativity by degree for complex networks is quantified by the Newman coefficient, and it describes a tendency for nodes to be connected to others with a similar degree. A generalization of the assortativity index has been proposed in... more
The emerging field of the Science of Cities has revealed universal power-law trends in urban scaling, transcending cultural and geographic variations. This study investigates the interplay between fundamental allometry, fractal... more
Infectious disease transmission models often stratify populations by age and geographic patches. Contact patterns between age groups and patches are key parameters in such models. Arenas et al. (2020) develop an approach to simulate... more
air pollution and adverse birth outcomes. Methods: We systematically searched for meta-analyses on criteria air pollutants (NO 2 , CO, O 3 , SO 2 , and PM 2.5 and PM 10 ) and adverse birth outcomes (preterm birth, stillbirth, reduced... more
Understanding age-mixing patterns in Human Immunodeficiency Virus (HIV) transmission networks can enhance the design and implementation of HIV prevention strategies in sub-Saharan Africa. Due to ethical consideration, it is less likely... more
Community mixing patterns by sociodemographic traits can inform the risk of epidemic spread among groups, and the balance of in-and out-group mixing affects epidemic potential. Understanding mixing patterns can provide insight about... more
This study aimed to analyze the types of code mixing, especially those found on WhatsApp social media made by bilingual immigrants of Pakistan in everyday life. The descriptive methodology was utilized by the researchers to carry out this... more
BackgroundNear 60% of new HIV infections in the United Kingdom are estimated to occur in men who have sex with men (MSM). Patterns of mixing between different risk groups of MSM have been suggested to spread the HIV epidemics through... more
IntroductionUnderstanding human mixing patterns relevant to infectious diseases spread through close contact is vital for modelling transmission dynamics and optimisation of disease control strategies. Mixing patterns in low-income... more
Data relating to contact mixing patterns among humans are essential for the accurate modeling of infectious disease transmission dynamics. Here, we describe contact mixing patterns among migrant workers in urban settings in Thailand,... more
M ixing behavior of three geometrically equivalent 0.06 m 3 bubble column and airlift photobioreactors was compared for use in microalgal culture. Mixing was characterized in terms of the axial dispersion coefficient, mixing time,... more
The effect of slurry mixing in an anaerobic digester on biogas production was intensively studied in the last few years. This subject is still debatable due to fact that this process involves three phases, solid-gas-liquid, along with the... more
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Mathematical and computational modeling approaches are increasingly used as quantitative tools in the analysis and forecasting of infectious disease epidemics. The growing need for realism in addressing complex public health questions is,... more
SIR model is one of the simplest methods used in prediction of endemic/pandemic outbreaks. We examined SIRD model for development of COVID-19 in Kuwait which was started on 24 February 2020 by 5 patients in Kuwait. This paper investigates... more
Background: Contact surveys and diaries have conventionally been used to measure contact networks in different settings for elucidating infectious disease transmission dynamics of respiratory infections. More recently, technological... more
Multilingual individuals, who possess proficiency in multiple languages and an understanding of their structures, often engage in code-mixing as a means of communication. This study aims to explore the code-mixing patterns exhibited by... more
This paper presents mathematical modeling and quantitative evaluation of Large Scale Social Restriction (LSSR) in Jakarta between 10 April and 4 June 2020. The special capital region of Jakarta is the only province among 34 provinces in... more
First, we study the effects of behavioral changes in a smallpox attack model. Response strategies to a smallpox bioterrorist attack have focused on interventions such as isolation, contact tracing, quarantine, ring vaccination, and mass... more
Anaerobic hydrogen production (AHP) is a biochemical process capable of producing hydrogen and fatty acids from organic substrates in acidogenic phase. Currently, almost all of anaerobic systems use centrally stirred mixing where the flow... more
This report presents a technical description of our agent-based epidemic model of a particular middle-sized municipality. We have developed a realistic model with 56 thousand inhabitants and 2.7 millions of social contacts. These form a... more
In the contemporary world of global business and continuously growing competition, organizations tend to use mergers and acquisitions to enforce their position on the market. The future organization's design is a critical success factor... more
This paper presents mathematical modeling and quantitative evaluation of Large Scale Social Restriction (LSSR) in Jakarta between 10 April and 4 June 2020. The special capital region of Jakarta is the only province among 34 provinces in... more
Approximating 'real' disease transmission networks through genomic sequence comparisons among pathogenic isolates is increasingly feasible with the current growth in genomic sequence data. Here, we derive a network from over 4,200... more
Coronavirus disease 2019 (covid-19), with the fatality rate in elder (60 years old or more) being much higher than young (60 years old or less) patients, was declared a pandemic by the World Health Organization on March 11, 2020. Taking... more
BackgroundThe increasing availability of data on social contact patterns and time use provides invaluable information for studying transmission dynamics of infectious diseases. Social contact data provide information on the interaction of... more
The present study aimed to investigate and compares the pattern of Code Mixing in Sequential bilingual young adult. Thirty Sequential bilingual (Tamil-English) adults between the age range of 18-25 years were participated in this study.... more
Understanding infection dynamics of respiratory diseases requires the identification and quantification of behavioural, social and environmental factors that permit the transmission of these infections between humans. Little empirical... more
Coronavirus Disease 2019 (COVID-19) started in Wuhan province of China in November 2019 and within a short time, it was declared as a worldwide pandemic by the World Health Organisation due to the very fast worldwide spread of the virus.... more
This paper presents mathematical modeling and quantitative evaluation of Large Scale Social Restriction (LSSR) in Jakarta between 10 April and 4 June 2020. The special capital region of Jakarta is the only province among 34 provinces in... more
Social mixing patterns are key determinants of infectious disease transmission. Mathematical models parameterised with empirical data from contact pattern surveys have played an important role in understanding epidemic dynamics and... more
Social mixing patterns are key determinants of infectious disease transmission. Mathematical models parameterised with empirical data from contact pattern surveys have played an important role in understanding epidemic dynamics and... more
BackgroundThe coronavirus 2019 (COVID-19) pandemic has caused significant changes to homes, working life and stress. The purpose of this research was to investigate the implications that the COVID-19 pandemic has had on the menstrual... more
Owing to the SARS-CoV-2 epidemic (severe acute respiratory coronavirus 2 syndromes), the global situation has changed drastically. Several countries, including India, Europe, U.S.A., introduced a full state/nation lockdown to minimize the... more
The anaerobic digestion (AD) process is influenced by a variety of operation parameters, such as sludge rheology, mixing, temperature, solid retention time (SRT), hydraulic retention time (HRT) and solids concentration. The optimum in the... more
Social mixing patterns are key determinants of infectious disease transmission. Mathematical models parameterised with empirical data from contact pattern surveys have played an important role in understanding epidemic dynamics and... more
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