Academic literature on the topic 'Microfluidics – Mathematical models'

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Journal articles on the topic "Microfluidics – Mathematical models"

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Cirillo, Andrea, Giovanna Tomaiuolo, and Stefano Guido. "Membrane Fouling Phenomena in Microfluidic Systems: From Technical Challenges to Scientific Opportunities." Micromachines 12, no. 7 (2021): 820. http://dx.doi.org/10.3390/mi12070820.

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The almost ubiquitous, though undesired, deposition and accumulation of suspended/dissolved matter on solid surfaces, known as fouling, represents a crucial issue strongly affecting the efficiency and sustainability of micro-scale reactors. Fouling becomes even more detrimental for all the applications that require the use of membrane separation units. As a matter of fact, membrane technology is a key route towards process intensification, having the potential to replace conventional separation procedures, with significant energy savings and reduced environmental impact, in a broad range of ap
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Jelenčiaková, Nina, Bojan Petrović, Sanja Kojić, Jovana Jevremov, and Stevan Hinić. "Application of Mathematical Models and Microfluidics in the Analysis of Saliva Mixing with Antiseptic Solutions." Balkan Journal of Dental Medicine 24, no. 2 (2020): 84–90. http://dx.doi.org/10.2478/bjdm-2020-0014.

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SummaryBackground/Aim: Human saliva offers many advantages over blood-based biochemical assays, therefore, becomes the biological fluid of interest. Once antiseptic solutions react with saliva, both fluids undergo significant changes of their biophysical properties, consequently, those changes have an impact on their principal function.Material and Methods: In this study, saliva was collected and mixed with 0,1% chlorhexidine digluconate solution, fluoride mouthwash, zinc-hydroxyapatite solution and CPP-ACP paste. Microfluidic PVC/Green tape chips within the experimental setup were used to sim
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KORIA, PIYUSH, ABHINAV BHUSHAN, DANIEL IRIMIA, and MARTIN L. YARMUSH. "MICROFLUIDIC DEVICE FOR EXAMINING DIRECTIONAL SENSING IN DENDRITIC CELL CHEMOTAXIS." Nano LIFE 02, no. 02 (2012): 1250011. http://dx.doi.org/10.1142/s1793984411000475.

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Dendritic cell chemotaxis is an important process involved in the acquisition of adaptive immunity. Despite several studies, our understanding of this process remains limited. One of the reasons for this is the lack of experimental models that give us real-time information on dendritic cell locomotion. Here, using tools in microfluidics, we have fabricated a microdevice that allows us to monitor dendritic cell migration in a chemokine gradient in real time. We successfully observed the migration of dendritic cells derived from a myeloid leukemia cell line (MUTZ-3) in a soluble chemokine (CCL-1
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Alnaimat, Fadi, Bobby Mathew, and Ali Hilal-Alnaqbi. "Modeling a Dielectrophoretic Microfluidic Device with Vertical Interdigitated Transducer Electrodes for Separation of Microparticles Based on Size." Micromachines 11, no. 6 (2020): 563. http://dx.doi.org/10.3390/mi11060563.

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This article conceptualizes and mathematically models a dielectrophoretic microfluidic device with two sets of interdigitated transducer vertical electrodes for separation of a binary heterogeneous mixture of particles based on size; each set of electrodes is located on the sidewalls and independently controllable. To achieve separation in the proposed microfluidic device, the small microparticles are subjected to positive dielectrophoresis and the big microparticles do not experience dielectrophoresis. The mathematical model consists of equations describing the motion of each microparticle, f
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Yang, Ning, Kai Shen, Jianjiang Guo, Xinyi Tao, Peifeng Xu, and Hanping Mao. "Error analysis for pesticide detection performed on paper-based microfluidic chip devices." Modern Physics Letters B 31, no. 19-21 (2017): 1740024. http://dx.doi.org/10.1142/s0217984917400243.

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Paper chip is an efficient and inexpensive device for pesticide residues detection. However, the reasons of detection error are not clear, which is the main problem to hinder the development of pesticide residues detection. This paper focuses on error analysis for pesticide detection performed on paper-based microfluidic chip devices, which test every possible factor to build the mathematical models for detection error. In the result, double-channel structure is selected as the optimal chip structure to reduce detection error effectively. The wavelength of 599.753 nm is chosen since it is the
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Shuttleworth, Robert R., Howard C. Elman, Kevin R. Long, and Jeremy A. Templeton. "Fast solvers for models of ICEO microfluidic flows." International Journal for Numerical Methods in Fluids 65, no. 4 (2011): 383–404. http://dx.doi.org/10.1002/fld.2188.

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Ayensa-Jiménez, Jacobo, Marina Pérez-Aliacar, Teodora Randelovic, José Antonio Sanz-Herrera, Mohamed H. Doweidar, and Manuel Doblaré. "Analysis of the Parametric Correlation in Mathematical Modeling of In Vitro Glioblastoma Evolution Using Copulas." Mathematics 9, no. 1 (2020): 27. http://dx.doi.org/10.3390/math9010027.

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Modeling and simulation are essential tools for better understanding complex biological processes, such as cancer evolution. However, the resulting mathematical models are often highly non-linear and include many parameters, which, in many cases, are difficult to estimate and present strong correlations. Therefore, a proper parametric analysis is mandatory. Following a previous work in which we modeled the in vitro evolution of Glioblastoma Multiforme (GBM) under hypoxic conditions, we analyze and solve here the problem found of parametric correlation. With this aim, we develop a methodology b
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Hormuth, David A., Caleb M. Phillips, Chengyue Wu, et al. "Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data." Cancers 13, no. 12 (2021): 3008. http://dx.doi.org/10.3390/cancers13123008.

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Tumor-associated vasculature is responsible for the delivery of nutrients, removal of waste, and allowing growth beyond 2–3 mm3. Additionally, the vascular network, which is changing in both space and time, fundamentally influences tumor response to both systemic and radiation therapy. Thus, a robust understanding of vascular dynamics is necessary to accurately predict tumor growth, as well as establish optimal treatment protocols to achieve optimal tumor control. Such a goal requires the intimate integration of both theory and experiment. Quantitative and time-resolved imaging methods have em
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Le Maout, V., K. Alessandri, B. Gurchenkov, H. Bertin, P. Nassoy, and G. Sciumè. "Role of mechanical cues and hypoxia on the growth of tumor cells in strong and weak confinement: A dual in vitro–in silico approach." Science Advances 6, no. 13 (2020): eaaz7130. http://dx.doi.org/10.1126/sciadv.aaz7130.

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Characterization of tumor growth dynamics is of major importance for cancer understanding. By contrast with phenomenological approaches, mechanistic modeling can facilitate disclosing underlying tumor mechanisms and lead to identification of physical factors affecting proliferation and invasive behavior. Current mathematical models are often formulated at the tissue or organ scale with the scope of a direct clinical usefulness. Consequently, these approaches remain empirical and do not allow gaining insight into the tumor properties at the scale of small cell aggregates. Here, experimental and
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Wang, Hao, Zhigang Wu, Jieliang Zhao, and Jianing Wu. "Nectar Feeding by a Honey Bee’s Hairy Tongue: Morphology, Dynamics, and Energy-Saving Strategies." Insects 12, no. 9 (2021): 762. http://dx.doi.org/10.3390/insects12090762.

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Most flower-visiting insects have evolved highly specialized morphological structures to facilitate nectar feeding. As a typical pollinator, the honey bee has specialized mouth parts comprised of a pair of galeae, a pair of labial palpi, and a glossa, to feed on the nectar by the feeding modes of lapping or sucking. To extensively elucidate the mechanism of a bee’s feeding, we should combine the investigations from glossa morphology, feeding behaviour, and mathematical models. This paper reviews the interdisciplinary research on nectar feeding behaviour of honey bees ranging from morphology, d
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Dissertations / Theses on the topic "Microfluidics – Mathematical models"

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Campos, Camila Dalben Madeira 1986. "Desenvolvimento de uma microbomba de membrana com atuação magnética." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/264070.

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Orientador: Eurípedes Guilherme de Oliveira Nóbrega<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica<br>Made available in DSpace on 2018-08-18T17:03:25Z (GMT). No. of bitstreams: 1 Campos_CamilaDalbenMadeira_M.pdf: 9869401 bytes, checksum: bc1789824b2736168f866a07630a3abc (MD5) Previous issue date: 2011<br>Resumo: Este trabalho teve como objetivo o desenvolvimento de uma microbomba de membrana acionada eletromagneticamente, tornando possível sua utilização futura em dispositivos que reúnam de maneira eficiente diversos processos mic
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McCraney, Joshua Thomas. "Analysis of Capillary Flow in Interior Corners : Perturbed Power Law Similarity Solutions." PDXScholar, 2015. https://pdxscholar.library.pdx.edu/open_access_etds/2725.

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The design of fluid management systems requires accurate models for fluid transport. In the low gravity environment of space, gravity no longer dominates fluid displacement; instead capillary forces often govern flow. This thesis considers the redistribution of fluid along an interior corner. Following a rapid reduction of gravity, fluid advances along the corner measured by the column length z = L(t), which is governed by a nonlinear partial differential equation with dynamical boundary conditions. Three flow types are examined: capillary rise, spreading drop, and tapered corner. The spreadin
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Wollman, Andrew Paul. "Capillarity-Driven Droplet Ejection." PDXScholar, 2012. http://pdxscholar.library.pdx.edu/open_access_etds/563.

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Drop Towers provide brief terrestrial access to microgravity environments. When used for capillary fluidics research, a drop tower allows for unique control over an experiment's initial conditions, which enables, enhances, or otherwise improves the study of capillary phenomena at significantly larger length scales than can normally be achieved on the ground. This thesis provides a historical context for the introduction of a new, highly accessible, 2.1s tower design used for capillary research and presents a variety of demonstrative experimental results for purely capillarity-driven flows lead
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Wollman, Andrew Paul. "Large Length Scale Capillary Fluidics: From Jumping Bubbles to Drinking in Space." PDXScholar, 2016. http://pdxscholar.library.pdx.edu/open_access_etds/2918.

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In orbit, finding the "bottom" of your coffee cup is a non-trivial task. Subtle forces often masked by gravity influence the containment and transport of fluids aboard spacecraft, often in surprising non-intuitive ways. Terrestrial experience with capillary forces is typically relegated to the micro-scale, but engineering community exposure to large length scale capillary fluidics critical to spacecraft fluid management design is low indeed. Low-cost drop towers and fast-to-flight International Space Station (ISS) experiments are increasing designer exposure to this fresh field of study. This
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Dufour, Yann Serge. "Experimental Methods in Support of the Development of a Computational Model for Quorum Sensing in Vibrio fischeri." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/34290.

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The quorum sensing signaling system based on intercellular exchange of N-acyl-homoserine lactones is used by many proteobacteria to regulate the transcription of essential genes in a signal density-dependent manner. It is involved in a number of processes including the development of highly organized bacterial communities, e.g., biofilms, the regulation of expression of virulence factors, production of antibiotics, and bioluminescence. The extensive genetic and biochemical data available on the quorum sensing system in Vibrio fischeri allows the development of a systems biology approach to und
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Igonin, Maksim. "Instabilités hydrodynamiques des liquides magnétiques miscibles et non miscibles dans une cellule de Hele-Shaw." Phd thesis, Université Paris-Diderot - Paris VII, 2004. http://tel.archives-ouvertes.fr/tel-00007716.

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Ce manuscrit décrit analytiquement et numériquement les instabilités d'un fluide magnétique dans une cellule de Hele-Shaw. On considère l'interface entre un fluide magnétique et un autre fluide non magnétique, miscible ou non, soumise à un champ magnétique homogène normal à la cellule ou à l'interface. Le champ démagnétisant est inhomogène à cette interface et génère un mouvement convectif des fluides. Dans la première partie, nous avons utilisé une analyse linéaire de stabilité entre deux liquides miscibles pour une distribution donnée de concentration à l'interface. Les résultats s'appliquen
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Morse, Daniel R. "A study of high shear multiphase flow in a microchannel." Thesis, 2005. http://hdl.handle.net/1957/28887.

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Microscale fluid processes are an increasingly important subgroup of fluid mechanics. Applications for heat transfer and micro-electro-mechanical devices use flows on the scale of less than one hundred microns. This study is part of a larger work in which a multiphase, high shear environment is studied in a microchannel that has a depth of approximately 130 μm. Velocities are obtained using non-invasive imaging schemes. Laser induced fluorescent Particle Image Velocimetry (PIV) is used to analyze the velocity distribution in the microchannel. Multiple image processing techniques are used to o
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Salakij, Saran. "Modeling in-situ vapor extraction during flow boiling in microscale channel." Thesis, 2013. http://hdl.handle.net/1957/37774.

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In-situ vapor extraction is performed by applying a pressure differential across a hydrophobic porous membrane that forms a wall of the channel as a means of reducing the local quality of flow boiling within the channel. As the local quality is reduced, the heat transfer capability can be improve while large pressure drops and flow instability can be mitigated. The present study investigates the potential of vapor extraction, by examining the characteristics and mechanisms of extraction. The physics based models for transition among extraction regimes are developed which can be used as a basis
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Suryadevara, Vinay Kumar. "Low power steering electrodes within microfluidic channels for blood cancer cell separation for MRD applications." Thesis, 2015. http://hdl.handle.net/1805/10048.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>In this study, a novel model for manipulating cancer blood cells based on multi-stage micro channels under varied low field concepts is proposed. Steering Device approach was followed to manipulate the cancer cells based on their various differential potentials across their membranes. The proposed approach considers the size and the surface potential as well as the iso electronic structure of the cells. These research objectives emphasize the separation of the cells in the blood stream, and differentiates various blood cells and tumo
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Toley, Bhushan Jayant. "Microtechnologies for Mimicking Tumor-Imposed Transport Limitations and Developing Targeted Cancer Therapies." 2012. https://scholarworks.umass.edu/open_access_dissertations/528.

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Intravenously delivered cancer drugs face transport limitations at the tumor site and cannot reach all parts of tumors at therapeutically effective concentrations. Transport limitations also prevent oxygen from distributing evenly in tumors resulting in hypoxia, which plays a critical role in cancer progression. In this dissertation, I present the development of micro-devices that mimic transport limitations of drugs and nutrients on three dimensional tumor tissues, enable visualization and quantification of the ensuing gradients, and enable simple analysis and mathematical modeling of obtaine
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Books on the topic "Microfluidics – Mathematical models"

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Mauri, Roberto. Multiphase microfluidics: The diffuse interface model. Springer Verlag, 2012.

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Mauri, Roberto. Multiphase Microfluidics: The Diffuse Interface Model. Springer, 2012.

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Mauri, Roberto. Multiphase Microfluidics: The Diffuse Interface Model. Mauri Roberto, 2014.

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Interfacial Fluid Mechanics A Mathematical Modeling Approach. Springer, 2012.

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Transport And Mixing In Laminar Flows From Microfluidics To Oceanic Currents. Wiley-VCH Verlag GmbH, 2012.

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Book chapters on the topic "Microfluidics – Mathematical models"

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Jokić, Ivana. "Microfluidic Adsorption-Based Biosensors: Mathematical Models of Time Response and Noise, Considering Mass Transfer and Surface Heterogeneity." In Biosensors - Current and Novel Strategies for Biosensing. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.97070.

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Adsorption-based microfluidic sensors are promising tools for biosensing. Advanced mathematical models of time response and noise of such devices are needed in order to improve the interpretation of measurement results, and to achieve the optimal sensor performance. Here the mathematical models are presented that take into account the coupling of processes that generate the sensor signal: adsorption–desorption (AD) of the target analyte particles on the heterogeneous sensing surface, and mass transfer (MT) in a microfluidic chamber. The response kinetics and AD noise (which determines the ultimate sensing performance) of protein biosensors are analyzed, assuming practically relevant analyte concentrations, sensing surface areas and MT parameters. The condition is determined under which MT significantly influences the sensor characteristics relevant for reliable analyte detection and quantification. It is shown that the development of improved mathematical models of sensor temporal response and noise can be used as one of strategies for achieving better sensing performance.
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Júnior, João Lameu da Silva, and Harrson Silva Santana. "Experimental and Numerical Analyses of a Micro-Heat Exchanger for Ethanol Excess Recovery From Biodiesel." In Process Analysis, Design, and Intensification in Microfluidics and Chemical Engineering. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-7138-4.ch006.

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The use of micro-heat exchangers increased with the advancement of microfluidics. These microdevices present some advantages like elevated surface area-to-volume ratio resulting in high heat transfer rates. Micro-heat exchanger with phase change is a new application of such devices. The simultaneous momentum, heat, and mass transfer at microscale still require investigations due to the inherent complexity. The main goal of the chapter is to demonstrate experimentally and numerically the capability of the micro-heat exchanger use in the continuous process of ethanol excess recovery from the biodiesel. The influence of flow rate, ethanol/biodiesel molar ratio, and temperature on the ethanol evaporation performance was evaluated. The flow rate and the ethanol/biodiesel molar ratio influenced negatively the evaporation. In contrast, the temperature was affected positively. The mathematical model was able to capture the main features of the continuous evaporation; however, further improvements must be performed in order to consider the thermodynamics characteristics.
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Conference papers on the topic "Microfluidics – Mathematical models"

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Ramesh, Salini, Fadi Alnaimat, Ali Hilal-Alnaqbi, Saud Khashan, Anas Alazzam, and Bobby Mathew. "Mathematical Model of Microfluidic Devices Employing Dielectrophoresis for 3D-Focusing." In 2019 IEEE 14th International Conference on Nano/Micro Engineered and Molecular Systems (NEMS). IEEE, 2019. http://dx.doi.org/10.1109/nems.2019.8915593.

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Alhammadi, Falah, Waqas Waheed, Bashar El-Khasawneh, and Anas Alazzam. "Mathematical model and verification of electric field and dielectrophoresis in a microfluidic device." In 2018 Advances in Science and Engineering Technology International Conferences (ASET). IEEE, 2018. http://dx.doi.org/10.1109/icaset.2018.8376900.

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Yoo, Kisoo, Prashanta Dutta, and Jin Liu. "Free Flow Isoelectric Focusing in a Microfluidic Device." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37629.

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In recent years, there are growing interests in the use of free flow isoelectric focusing (FFIEF). In FFIEF, a thin sheath of laminar flow is introduced perpendicular to the direction of the applied electric field for continuous separation of proteins and charged species. This technique is especially useful in microfluidic device since the electrophoretically separated bands do not have to be mobilized for detection or further analysis. In this study, a mathematical model is developed to simulate free flow isoelectric process in microfluidic devices considering electroneutrality and incompress
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Shim, Jaesool, Prashanta Dutta, and Cornelius F. Ivory. "Modeling and Simulation of pH Dependent Isotachophoresis." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10778.

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This paper presents a mathematical model for pH gradient ITP in a microfluidic system. The mathematical model is based on mass conservation, charge conservation and electroneutrality condition in the system. A finite volume based numerical model is developed to simulate pH dependent isotachophoresis (ITP) in microfluidic devices. Numerical results of pH dependent ITP are obtained for straight and dog-leg microchannels. For both channels, five ionic components are used to simulate the model ITP system. The ITP results obtained from dog-leg microchannel capture the band broadening and band dispe
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Ge, Zhengwei, and Chun Yang. "Concentration of Samples in Microfluidic Structure Using Joule Heating Effects." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18308.

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Microfluidic concentration is achieved using temperature gradient focusing (TGF) in a microchannel with a step change in cross-section. A mathematical model is developed to describe the complex TGF processes. The proposed mathematical model includes a set of governing equations for the applied electric potential, electroosmotic flow field, Joule heating induced temperature field, and sample analyte concentration distributions as well. Scaling analysis was conducted to estimate time scales so as to simplify the mathematical model. Numerical computations were performed to obtain the temperature,
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Sprague, Isaac B., and Prashanta Dutta. "Flow Through Nanoporous Electrodes in a Microfluidic Fuel Cell." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85769.

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In this paper we present how advection in the electric double layer (EDL) affects the kinetic performance of electrochemical cells. To accomplish this we use a laminar flow fuel cell model based on the Poisson-Nernst-Planck and Frumkin-Butler-Volmer equations. The model contains nonlinear physics with very disparate length scales due to the complex 3-dimensional nature of the nano-porous device. To account for these difficulties, the full mathematical model is solved numerically using a novel numerical algorithm developed based on domain decomposition method. Numerical results show that the pr
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Merza, Saeed A., Jonathan D. Posner, Yasser H. Anis, A. Cody Young, Roger H. Johnson, and Deirdre R. Meldrum. "Microfluidic Device for Transport and Observation of Single Cells." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13019.

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A fluidic device capable of aspirating microparticles in aqueous medium and transporting them under controlled conditions to a chosen destination is reported. The device is fabricated through repeated stacking of aligned, laser cut acrylic, mylar and adhesive layers. The rectangular cross-section of the primary flow chamber within the device follows a specific mathematical function to achieve a desired velocity profile for improved particle tracking. Flow is controlled into and out of the chamber by three-way solenoid valves to allow changes in flow direction and to minimize capacitance in the
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Tang, G. Y., C. Yang, C. J. Chai, and H. Q. Gong. "Joule Heating Induced Thermal and Hydrodynamic Development in Microfluidic Electroosmotic Flow." In ASME 2004 2nd International Conference on Microchannels and Minichannels. ASMEDC, 2004. http://dx.doi.org/10.1115/icmm2004-2442.

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Joule heating is present in electrokinetically driven flow and mass transport in microfluidic systems. Specifically, in the cases of high applied voltages and concentrated buffer solutions, the thermal management may become a problem. In this study, a mathematical model is developed to describe the Joule heating and its effects on electroosmotic flow and mass species transport in microchannels. The proposed model includes the Poisson equation, the modified Navier-Stokes equation, and the conjugate energy equation (for the liquid solution and the capillary wall). Specifically, the ionic concent
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Tohid, Usama, and Arturo Pacheco-Vega. "Parametric Analysis of Single-Phase and Two-Phase Models of a Microfluidic Direct Methanol Fuel Cell." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62210.

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We perform numerical simulations of single-phase and two-phase models of a direct methanol microfluidic fuel cell (μ-DMFC). The focus of this study is on the parametric analysis of a single channel of the system, for specific sets of operating conditions, in order to map the dependence of the cell performance with respect to the geometrical parameters. Different geometries, ranging from 500 μm to 4 mm in width, and 500 μm to 4 cm in length, along with membrane thicknesses from 50 μm to 500 μm, were considered. The mathematical models are given in terms of the Navier-Stokes, the Butler-Volmer a
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Tang, Gongyue, Chun Yang, and Yee Cheong Lam. "Joule Heating Induced Heat Transfer and Its Effects on Electrokinetic Mixing in T-Shape Microfluidic Channels." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35136.

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In this paper, we report numerical and experimental studies of the Joule heating-induced heat transfer in fabricated T-shape microfluidic channels. We have developed comprehensive 3D mathematical models describing the temperature development due to Joule heating and its effects on electrokinetic flow. The models consist of a set of governing equations including the Poisson-Boltzmann equation for the electric double layer potential profiles, the Laplace equation for the applied electric field, the modified Navier-Stokes equations for the electrokinetic flow field, and the energy equations for t
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