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1

Kong, Dancheng, James L. White, Frederick C. Weissert, and Nobuyuki Nakajima. "An Experimental and Theoretical Study of Heat Conduction and Vulcanization of Rubber Compounds in Molds." Rubber Chemistry and Technology 60, no. 1 (1987): 140–58. http://dx.doi.org/10.5254/1.3536114.

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Abstract A fundamental study on curing of rubber compounds in molds is presented. We have measured the thermal conductivity of a range of rubber compounds determining the influence of carbon black, other fillers, and oil. The heats of reaction associated with the curing kinetics of model compounds were measured. A mathematical model is proposed to predict the temperature profiles for curing a reactive slab. This involves inclusion of an energy generation rate, which depends on time and temperature. This is expressed through a Damkohler number. Solutions of the heat conduction equation are inte
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2

Reddy, Gundlapally Shiva Kumar, Nilam Venkata Koteswararao, Ragoju Ravi, Kiran Kumar Paidipati, and Christophe Chesneau. "Dissolution-Driven Convection in a Porous Medium Due to Vertical Axis of Rotation and Magnetic Field." Mathematical and Computational Applications 27, no. 3 (2022): 53. http://dx.doi.org/10.3390/mca27030053.

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This article aims to study the effect of the vertical rotation and magnetic field on the dissolution-driven convection in a saturated porous layer with a first-order chemical reaction. The system’s physical parameters depend on the Vadasz number, the Hartmann number, the Taylor number, and the Damkohler number. We analyze them in an in-depth manner. On the other hand, based on an artificial neural network (ANN) technique, the Levenberg–Marquardt backpropagation algorithm is adopted to predict the distribution of the critical Rayleigh number and for the linear stability analysis. The simulated
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3

Ramaswami, A., S. Ghoshal, and R. G. Luthy. "Mass transfer and biodegradation of PAH compounds from coal tar." Water Science and Technology 30, no. 7 (1994): 61–70. http://dx.doi.org/10.2166/wst.1994.0307.

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This study examines the role of physico-chemical mass transfer processes on the rate of biotransformation of polycyclic aromatic hydrocarbon (PAH) compounds released from non-aqueous phase liquid (NAPL) coal tar present at residual saturation within a microporous medium. A simplified coupled dissolution-degradation model is developed that describes the concurrent mass transfer and biokinetic processes occurring in the system. Model results indicate that a dimensionless Damkohler number can be utilized to distinguish between systems that are mass transfer limited, and those that are limited by
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4

Thakor, Pradip, Balvant Yadav, Sheela Modani, and Nalini R. Shastri. "Preparation and optimization of nano-sized cocrystals using a quality by design approach." CrystEngComm 22, no. 13 (2020): 2304–14. http://dx.doi.org/10.1039/c9ce01930h.

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5

Low, Hong Tong, Xiao Bing Chen, Peng Yu, and Sony Winoto. "Mass Transport in a Microchannel Bioreactor with a Porous Wall." Applied Mechanics and Materials 110-116 (October 2011): 3489–94. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.3489.

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A two-dimensional flow model, incorporating mass transport, has been developed to simulate flow in a microchannel bioreactor with a porous wall. A two-domain method was implemented which was based on finite volume method. For the porous-fluid interface, a stress jump condition was used with continuity of normal stress; and the mass interfacial conditions were continuities of mass and mass flux. Two parameters are defined to characterize the mass transports in the fluid and porous regions. The porous Damkohler number is the ratio of consumption to diffusion of the substrates in the porous mediu
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6

Saini, Anju, V. K. Katiyar, and Pratibha. "Effects of first-order chemical reactions on the dispersion coefficient associated with laminar flow through the lungs." International Journal of Biomathematics 07, no. 02 (2014): 1450021. http://dx.doi.org/10.1142/s1793524514500211.

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This paper aims to look into the determination of effective area-average concentration and dispersion coefficient associated with unsteady flow through a small-diameter tube where a solute undergoes first-order chemical reaction both within the fluid and at the boundary. The reaction consists of a reversible component due to phase exchange between the flowing fluid and the wall layer, and an irreversible component due to absorption into the wall. To understand the dispersion, the governing equations along with the reactive boundary conditions are solved numerically using the Finite Difference
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7

Markoš, Jozef, and Alena Brunovská. "Optimal catalyst activity distribution in fixed-bed reactor with catalyst deactivation." Collection of Czechoslovak Chemical Communications 54, no. 2 (1989): 375–87. http://dx.doi.org/10.1135/cccc19890375.

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In this paper the influence of the active catalyst location in a pellet on fixed-bed catalytic reactor performance is described. The optimal activity distribution as a function of an economic parameter (ratio of product and catalyst costs), Thiele modulus and Damkohler number is estimated.
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8

JIANG, TAI-LUN, and EDWARD E. O'BRIEN. "SCHMIDT, DAMKOHLER AND REYNOLDS NUMBER EFFECTS ON SECOND-ORDER REACTIONS IN ISOTROPIC TURBULENCE." Chemical Engineering Communications 106, no. 1 (1991): 185–206. http://dx.doi.org/10.1080/00986449108911543.

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9

Koutmos, P. "A Damkohler number description of local extinction in turbulent methane jet diffusion flames." Fuel 78, no. 5 (1999): 623–26. http://dx.doi.org/10.1016/s0016-2361(98)00175-6.

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10

Ghoniem, Ahmed F., and Ghassem Heidarinejad. "Effect of Damkohler number on the reactive zone structure in a shear layer." Combustion and Flame 83, no. 1-2 (1991): 1–16. http://dx.doi.org/10.1016/0010-2180(91)90199-l.

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11

Wang, Jingxia, and Qingchun Yu. "Experimental Investigations of the Process of Carbonate Fracture Dissolution Enlargement under Reservoir Temperature and Pressure Conditions." Geofluids 2018 (September 12, 2018): 1–19. http://dx.doi.org/10.1155/2018/5971421.

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Karst is a central focus in the field of carbonate reservoir geology. Fracture dissolution enlargement is an important mechanism for the formation of high-quality reservoirs. This study performed four carbonate fracture dissolution enlargement (CFDE) experiments under a confining pressure of 20 MPa, and temperatures ranged from 40 to 60°C. CO2-saturated deionized water was injected into artificial carbonate fractures at approximately 11.5 ml/h for 96, 208, 216, and 216 hours. The water flowing out of the fractures was sampled every 8 h to monitor the concentration of Ca2+. SEM photomicrographs
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12

Driscoll, James F., Ruey-Hung Chen, and Youngbin Yoon. "Nitric oxide levels of turbulent jet diffusion flames: Effects of residence time and damkohler number." Combustion and Flame 88, no. 1 (1992): 37–49. http://dx.doi.org/10.1016/0010-2180(92)90005-a.

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13

Chen*, Ruey-Hung, Jose E. Navedo, and Larry Chew. "Effects of Fuel Lewis Number on and Damkohler Number Scaling of Nitric Oxide Emission Levelof Burke-Schumann Type Flames." Combustion Science and Technology 127, no. 1-6 (1997): 293–318. http://dx.doi.org/10.1080/00102209708935698.

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14

Bidabadi, Mehdi, Payam Asadollahzadeh, and Mohammad N. P. Meibudy. "Theoretical Analysis of Diffusion Flames Using Perturbation Method for Different Lewis and Damkohler Numbers." Journal of Mechanics 29, no. 2 (2013): 345–54. http://dx.doi.org/10.1017/jmech.2013.5.

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AbstractThis paper presents a two dimensional asymptotic model of counterflow diffusion flame in the presence of radiation heat loss. The fuel and oxidizer, respectively, are injected from left and right hand side of the flame. The effects of burning rate, Lewis and Damkohler number on the structure and extinction of the flame is studied using perturbation method. To do so, the structure of the flame is considered to be composed of reaction zone with a thickness of O(ε) and radiation heat loss zone, of O(δ) thickness, that sandwiches the reaction zone. The effect of burning rate is illustrated
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15

You, Jiahui, and Kyung Jae Lee. "Analyzing the Dynamics of Mineral Dissolution during Acid Fracturing by Pore-Scale Modeling of Acid-Rock Interaction." SPE Journal 26, no. 02 (2021): 639–52. http://dx.doi.org/10.2118/200406-pa.

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Summary Hydrochloric acid (HCl) is commonly used in acid fracturing. Given that the interaction between acid and rock affects multiphase flow behaviors, it is important to thoroughly understand the relevant phenomena. The Darcy-Brinkman-Stokes (DBS) method is most effective in describing the matrix-fracture system among the proposed models. This study aims to analyze the impact of acid-rock interaction on multiphase flow behavior by developing a pore-scale numerical model applying the DBS method. The new pore-scale model is developed based on OpenFOAM, an open-source platform for the prototypi
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16

Greene, Eric S., Maria G. Medeiros, and Wilson K. S. Chiu. "Application of an Anode Model to Investigate Physical Parameters in an Internal Reforming Solid-Oxide Fuel Cell." Journal of Fuel Cell Science and Technology 2, no. 2 (2005): 136–40. http://dx.doi.org/10.1115/1.1895925.

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A one-dimensional model of chemical and mass transport phenomena in the porous anode of a solid-oxide fuel cell, in which there is internal reforming of methane, is presented. Macroscopically averaged porous electrode theory is used to model the mass transfer that occurs in the anode. Linear kinetics at a constant temperature are used to model the reforming and shift reactions. Correlations based on the Damkohler number are created to relate anode structural parameters and thickness to a nondimensional electrochemical conversion rate and cell voltage. It is shown how these can be applied in or
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17

Madras, Giridhar, and Benjamin J. McCoy. "Population Balance Modeling of Turbulent Mixing for Miscible Fluids." Journal of Fluids Engineering 127, no. 3 (2005): 564–71. http://dx.doi.org/10.1115/1.1899174.

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Blending one fluid into another by turbulent mixing is a fundamental operation in fluids engineering. Here we propose that population balance modeling of fragmentation-coalescence simulates the size distribution of dispersed fluid elements in turbulent mixing. The interfacial area between dispersed and bulk fluids controls the transfer of a scalar molecular property, for example, mass or heat, from the dispersed fluid elements. This interfacial area/volume ratio is proportional to a negative moment of the time-dependent size distribution. The mass transfer coefficient, in the form of a Damkohl
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18

ZENG, Y., T. S. LEE, P. YU, and H. T. LOW. "EFFECT OF SURFACE ROUGHNESS ON MASS TRANSFER IN A FLAT-PLATE MICROCHANNEL BIOREACTOR." Modern Physics Letters B 19, no. 28n29 (2005): 1559–62. http://dx.doi.org/10.1142/s0217984905009900.

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Surface roughness exists in most microfluidic devices due to the microfabrication technique or particle adhesion. In this study, a numerical model based on Finite Volume Method has been developed to simulate the mass transfer in a flat-plate microchannel bioreactor with semi-circular protrusions uniformly distributed on the bottom. The results show that the mass transfer in rough channel is enhanced, as shown by lower minimum species concentration in the rough channel compared with that in smooth channel. Non-dimensional parameters such as Peclet number (Pe), Damkohler number (Da) and the roug
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19

Greenberg, J. Barry, and David Katoshevski. "Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame." Fluids 6, no. 1 (2021): 27. http://dx.doi.org/10.3390/fluids6010027.

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A theoretical investigation of the influence of a standing wave flow-field on the dynamics of a laminar two-dimensional spray diffusion flame is presented for the first time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governing equations to be developed. Influence of the standing wave flow-field on droplet grouping is described by a specially constructed modification of the vaporization Damkohler number. Instantaneous flame front sha
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20

Jackson, T. L., and C. E. Grosch. "Inviscid spatial stability of a compressible mixing layer. Part 2. The flame sheet model." Journal of Fluid Mechanics 217 (August 1990): 391–420. http://dx.doi.org/10.1017/s0022112090000775.

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We report the results of an inviscid spatial stability calculation for a compressible reacting mixing layer. The limit of infinite Damkohler number is taken and the diffusion flame is approximated by a flame sheet. Results are reported for the phase speeds of the neutral waves and maximum growth rates of the unstable waves as a function of the parameters of the problem: the ratio of the temperature of the stationary stream to that of the fast stream, the Mach number of the fast stream, the heat release per unit mass fraction of the reactant, the equivalence ratio of the reaction, and the frequ
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21

David, T., P. G. de Groot, and P. G. Walker. "Boundary-Layer Type Solutions for Initial Platelet Activation and Deposition." Journal of Theoretical Medicine 4, no. 2 (2002): 95–108. http://dx.doi.org/10.1080/1027366021000003261.

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This paper presents, on the basis of high Peclet number, a mathematical model for the activation and initial adhesion of flowing platelets onto a surface. In contrast to past work, the model is applicable to general 2D and axi-symmetric flows where the wall shear stress is knowna priori. Results indicate that for high activation reaction rates there exist two layers, one containing only activated platelets and the other both activated and non-activated platelets. Fundamental relationships are proposed between the adhesion rate of platelets to the surface and the characteristic parameters of Pe
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22

Chen, Kaixuan, Xiaochun Xue, Yonggang Yu, and Zhenwei Ye. "Investigation on micro-flame structure of AP composite propellant under wide pressure range." Thermal Science, no. 00 (2023): 54. http://dx.doi.org/10.2298/tsci221114054c.

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This present work proposes a method to exactly evaluate the thermal process of Ammonium perchlorate/Hydroxyl-terminated polybutadiene (AP/HTPB) propellant. The three-dimensional propellant pack is generated by the Monte-Carlo method to obtain a representative sandwich model on the base of the dual-slicing technique. The AP monopropellant flame height H1, the primary diffusion flame height H2 and the final diffusion flame height H3 are jointly determined by the temperature and component distributions of the gas phase thermodynamic field, which is more accurate to capture this complicated combus
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23

De Prisco, Giuseppe, and Xiaowen Shan. "Mass Transport/Diffusion and Surface Reaction Process with Lattice Boltzmann." Communications in Computational Physics 9, no. 5 (2011): 1362–74. http://dx.doi.org/10.4208/cicp.021009.241210s.

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AbstractMulti-component flow with chemical reactions is a common problem in different industrial applications: the mixing chamber of a reaction injection molding (RIM) machine; the dynamics of diesel soot particles interacting with a porous-ceramic particulate filter; reactive transport in porous media; bio-chemical processes involving enzyme-catalyzed kinetics. In all these cases, mass diffusion/convection and wall or volume chemical interactions among components play an important role. In the present paper we underline the importance of diffusion/convection/reaction mechanisms in bio-chemica
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24

Yuan, Yixiang, Qinghua Zeng, Jun Yao, Yongjun Zhang, Mengmeng Zhao, and Lu Zhao. "Improving Blowout Performance of the Conical Swirler Combustor by Employing Two Parts of Fuel at Low Operating Condition." Energies 14, no. 6 (2021): 1681. http://dx.doi.org/10.3390/en14061681.

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Aiming at the problem of the narrow combustion stability boundary, a conical swirler was designed and constructed based on the concept of fuel distribution. The blowout performance was studied at specified low operating conditions by a combination of experimental testing and numerical simulations. Research results indicate that the technique of the fuel distribution can enhance the combustion stability and widen the boundary of flameout within the range of testing conditions. The increase of the fuel distribution ratio improves the combustion stability but leads to an increase in NOx emission
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25

Singh, Sunil K., Abhishek K. Sharma, and Archana Dixit. "Numerical Study of Double Diffusive Non-Darcian Convection-Reaction Flow in a Highly Permeable Anisotropic Porous Medium." Journal of Nanofluids 14, no. 1 (2025): 38–47. https://doi.org/10.1166/jon.2025.2220.

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An investigation into how double-diffusive flow within a porous square enclosure is influenced by anisotropy of the porous medium and chemical reaction is done through the application of a non-Darcy extended model. The permeability tensor has oblique principal directions with respect to the gravity vector. By applying the SIMPLE-R algorithm, effects of chemical reaction and anisotropic parameters on the steady-state mass and heat transfer in the porous medium are computationally determined. The stream function contours have been observed to extend along the main diagonal of the square enclosur
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26

Wang, Gugofeng, Kun Chen, Hongtao Fan, Sijia Huang, Zhiyuan Xie, and Huixia Shen. "Research on the Numerical Method of Pollutant Emission during Gas Turbine Start-up." Journal of Physics: Conference Series 2650, no. 1 (2023): 012035. http://dx.doi.org/10.1088/1742-6596/2650/1/012035.

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Abstract It was of great research value and significance to predict the pollutant emission from the gas turbine start-up process by numerical method, which could improve the operation and regulation of gas turbines. In the paper, the computational fluid dynamics(CFD)-chemical reaction network (CRN) method was used to study the pollutant emission of gas turbines. According to the control process of the start-up control module, the start-up process had been divided into 12 states, and the CFD numerical analysis was carried out. Based on the data of Damkohler number (Da), temperature and velocity
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27

Moshizi, S. A. "Forced convection heat and mass transfer of MHD nanofluid flow inside a porous microchannel with chemical reaction on the walls." Engineering Computations 32, no. 8 (2015): 2419–42. http://dx.doi.org/10.1108/ec-02-2015-0035.

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Purpose – The purpose of this paper is to focus on convective heat and mass transfer characteristics of Cu-water nanofluid inside a porous microchannel in the presence of a uniform magnetic field. The walls of the microchannel are subjected to constant asymmetric heat fluxes and also the first order catalytic reaction. To represent the non-equilibrium region near the surfaces, the Navier’s slip condition is considered at the surfaces because of the non-adherence of the fluid-solid interface and the microscopic roughness in microchannels. Design/methodology/approach – Employing the Brinkman mod
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28

Wu, Yupan, Bowen Hu, Xun Ma, Yucheng Wang, Wei Li, and Shaoxi Wang. "Enhancement of Binding Kinetics on Affinity Substrates Using Asymmetric Electroosmotic Flow on a Sinusoidal Bipolar Electrode." Micromachines 13, no. 2 (2022): 207. http://dx.doi.org/10.3390/mi13020207.

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In the context of the COVID-19 epidemic, enhancing the transport of analyte to a sensor surface is crucial for rapid detection of biomolecules since common conditions, including low diffusion coefficients, cause inordinately long detection times. Integrated microfluidic immunoassay chips are receiving increasing attention for their low sample volume and fast response time. We herein take advantage of asymmetric ICEO flow at a bipolar sinusoidal electrode to improve the rate of antibody binding to the reaction surface based on finite element modeling. Three different microfluidic cavities are p
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29

Alves Carneiro, Kalline de Almeida, Vânia da Silva Fraga, Marcus Metri Correa, et al. "MODELING VERTICAL MOBILITY OF P IN REGOSOLS OF THE BRAZILIAN SEMIARID REGION: LEACH COLUMN EXPERIMENT." Revista Valore 8 (May 27, 2023): 169–83. http://dx.doi.org/10.22408/reva8020231468169-183.

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Phosphorus (P) mobility can be high in sandy soils in tropical regions due to its high proportion of macropores, low levels of Fe and/or Al oxides, and low natural levels of organic matter. The aim of this study was to verify if the fit with convection-dispersion model (CDE) is adequate to analyze P vertical mobility in Regosols from the Brazilian semiarid region. Leaching columns were packed with two soils, fertilized with cattle manure. The columns were prepared based on the hydrodispersive parameters of the modeling with potassium bromide (KBr) and saturated flow. Soil samples were saturate
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30

Liu, Gao-Jie, Zi-Yu Shao, and Qin Lou. "A lattice Boltzmann study of miscible displacement containing dissolution reaction in porous medium." Acta Physica Sinica 71, no. 5 (2022): 054702. http://dx.doi.org/10.7498/aps.71.20211851.

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The miscible displacement with fluid-solid dissolution reaction in a porous medium is a typical process in many industrial applications, such as underground-water pollution decontamination, and oil recovery or geological sequestration of carbon dioxide. It is a significant problem in engineering and physics applications. As is well known, the dissolution reaction can change the structure of the porous medium, which will have a great influence on the miscible displacement process. However, the relationship between the displacement process and the dissolution reaction in a porous medium has not
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31

Ge, Zhenyou, Hui Yan, Weiyu Liu, Chunlei Song, Rui Xue, and Yukun Ren. "A Numerical Investigation of Enhancing Microfluidic Heterogeneous Immunoassay on Bipolar Electrodes Driven by Induced-Charge Electroosmosis in Rotating Electric Fields." Micromachines 11, no. 8 (2020): 739. http://dx.doi.org/10.3390/mi11080739.

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A unique approach is proposed to boost on-chip immuno-sensors, for instance, immunoassays, wherein an antibody immobilized on the walls of a microfluidic channel binds specifically to an antigen suspended freely within a working fluid. The performance of these sensors can be limited in both susceptibility and response speed by the slow diffusive mass transfer of the analyte to the binding surface. Under appropriate conditions, the binding reaction of these heterogeneous immuno-assays may be enhanced by electroconvective stirring driven by external AC electric fields to accelerate the translati
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32

ZENG, YAN, THONG-SEE LEE, PENG YU, and HONG-TONG LOW. "NUMERICAL STUDY ON THE INFLUENCE OF SURFACE ROUGHNESS ON FLUID FLOW AND MASS TRANSFER IN A FLAT-PLATE MICROCHANNEL BIOREACTOR." International Journal of Modern Physics C 18, no. 02 (2007): 131–55. http://dx.doi.org/10.1142/s0129183107009273.

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Surface roughness exists in most microfluidic devices due to the microfabrication technique or particle adhesion. The present study has developed a numerical model based on Finite Volume Method to simulate the fluid flow and mass transfer in a flat-plate microchannel bioreactor with an array of rough elements uniformly placed on the bottom wall. Both semicircle and triangle roughness are considered to include more shapes of roughness elements. A monolayer of cells is assumed to attach to the base of the channels and consumes species from culture medium. The results show that the roughness size
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33

Sengupta, Rajarshi, Mukul D. Tikekar, James V. Raj, Kris T. Delaney, Michael C. Villet, and Glenn H. Fredrickson. "Phase-field simulations of morphology development in reactive polymer blending." Journal of Rheology 67, no. 1 (2023): 1–14. http://dx.doi.org/10.1122/8.0000523.

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Reactive blending is an efficient method for synthesizing polymer blends. Industrially, this process is carried out in extruders, where the reacting polymers and the generated copolymer are subjected to high shear stresses. The dynamics of the process, and the resulting morphology is dictated by a coupling of the hydrodynamic forces in the extruder, the thermodynamic interactions between species, and the reaction kinetics on a complex interfacial manifold. We use phase-field simulations to quantify the evolution of the reactive blending process under an external shear flow. Specifically, we co
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34

Shateyi, Stanford, Precious Sibanda, and Sandile S. Motsa. "On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows." Journal of Applied Mathematics 2008 (2008): 1–15. http://dx.doi.org/10.1155/2008/835380.

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The study sought to investigate thermosolutal convection and stability of two dimensional disturbances imposed on a heated boundary layer flow over a semi-infinite horizontal plate composed of a chemical species using a self-consistent asymptotic method. The chemical species reacts as it diffuses into the nearby fluid causing density stratification and inducing a buoyancy force. The existence of significant temperature gradients near the plate surface results in additional buoyancy and decrease in viscosity. We derive the linear neutral results by analyzing asymptotically the multideck structu
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35

Aggarwal, S. K. "NUMERICAL STUDY OF CONVECTION-DIFFUSION-REACTION EQUATIONS FOR LARGE DAMKOHLER AND CELL REYNOLDS NUMBERS." Numerical Heat Transfer 11, no. 2 (1987): 143–64. http://dx.doi.org/10.1080/10407788708913547.

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Aggarwal, S. K. "Numerical Study of Convection-Diffusion-Reaction Equations for Large Damkohler and Cell Reynolds Numbers." Numerical Heat Transfer, Part B: Fundamentals 11, no. 2 (1987): 143–64. http://dx.doi.org/10.1080/10407798708552537.

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37

Mikelić, Andro, Vincent Devigne, and C. J. van Duijn. "Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers." SIAM Journal on Mathematical Analysis 38, no. 4 (2006): 1262–87. http://dx.doi.org/10.1137/050633573.

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38

Wang, Zi, Li Chen, Hangkai Wei, Zhenxue Dai, Qinjun Kang, and Wen-Quan Tao. "Pore-scale study of mineral dissolution in heterogeneous structures and deep learning prediction of permeability." Physics of Fluids 34, no. 11 (2022): 116609. http://dx.doi.org/10.1063/5.0123966.

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Reactive transport processes in porous media with dissolution of solid structures are widely encountered in scientific and engineering problems. In the present work, the reactive transport processes in heterogeneous porous structures generated by Monte Carlo stochastic movement are simulated by using the lattice Boltzmann method. Six dissolution patterns are identified under different Peclet and Damkohler numbers, including uniform pattern, hybrid pattern, compact pattern, conical pattern, dominant pattern, and ramified pattern. Particularly, when Peclet and Damkohler numbers are larger than 1
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39

AYDINLIK, Soner. "An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory." Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11, no. 3 (2022): 857–60. http://dx.doi.org/10.17798/bitlisfen.1128254.

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Mathematical models for an adiabatic tubular chemical reactor which forms an irreversible exothermic reaction are investigated by an efficient numerical technique, Fibonacci Collocation method in this study. The reaction's steady-state temperature is calculated for several values of three parameters, namely, Peclet and Damkohler numbers and the dimensionless adiabatic temperature increment. When the generated outcomes are compared with the other numerical approaches, it has been sighted that the presented method produces reliable results for this type of problems.
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40

Battersby, Scott, Paula Werneck Teixeira, Jorge Beltramini, Mikel C. Duke, Victor Rudolph, and João C. Diniz da Costa. "An analysis of the Peclet and Damkohler numbers for dehydrogenation reactions using molecular sieve silica (MSS) membrane reactors." Catalysis Today 116, no. 1 (2006): 12–17. http://dx.doi.org/10.1016/j.cattod.2006.04.004.

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Aydinlik, Soner, and Ahmet Kiris. "A novel numerical technique for adiabatic tubular chemical reactor problems." Journal of Interdisciplinary Mathematics 27, no. 6 (2024): 1273–84. http://dx.doi.org/10.47974/jim-1751.

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We proposed a novel technique to obtain highly accurate solution to the problem of an irreversible exothermic chemical reaction occurring in an adiabatic tubular chemical reactor. The study also delves into the convergence behavior and error analysis of this technique. Furthermore, we investigate the approximation of the steady-state temperature of the reaction under various scenarios involving the Peclet and Damkohler numbers, and the dimensionless adiabatic temperature rise. To validate our findings, we compare our results with those obtained using several other established methods, includin
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42

Rafat, Neda, Paul Satoh, Scott Calabrese Barton, and Robert Mark Worden. "Integrated Experimental and Theoretical Studies on an Electrochemical Immunosensor." Biosensors 10, no. 10 (2020): 144. http://dx.doi.org/10.3390/bios10100144.

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Electrochemical immunosensors (EIs) integrate biorecognition molecules (e.g., antibodies) with redox enzymes (e.g., horseradish peroxidase) to combine the advantages of immunoassays (high sensitivity and selectivity) with those of electrochemical biosensors (quantitative electrical signal). However, the complex network of mass-transfer, catalysis, and electrochemical reaction steps that produce the electrical signal makes the design and optimization of EI systems challenging. This paper presents an integrated experimental and modeling framework to address this challenge. The framework includes
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43

Rafat, Neda, Paul Satoh, and Robert Mark Worden. "Electrochemical Biosensor for Markers of Neurological Esterase Inhibition." Biosensors 11, no. 11 (2021): 459. http://dx.doi.org/10.3390/bios11110459.

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A novel, integrated experimental and modeling framework was applied to an inhibition-based bi-enzyme (IBE) electrochemical biosensor to detect acetylcholinesterase (AChE) inhibitors that may trigger neurological diseases. The biosensor was fabricated by co-immobilizing AChE and tyrosinase (Tyr) on the gold working electrode of a screen-printed electrode (SPE) array. The reaction chemistry included a redox-recycle amplification mechanism to improve the biosensor’s current output and sensitivity. A mechanistic mathematical model of the biosensor was used to simulate key diffusion and reaction st
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SWAMINATHAN, N., G. XU, A. P. DOWLING, and R. BALACHANDRAN. "Heat release rate correlation and combustion noise in premixed flames." Journal of Fluid Mechanics 681 (June 29, 2011): 80–115. http://dx.doi.org/10.1017/jfm.2011.232.

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The sound emission from open turbulent flames is dictated by the two-point spatial correlation of the rate of change of the fluctuating heat release rate. This correlation in premixed flames can be represented well using Gaussian-type functions and unstrained laminar flame thermal thickness can be used to scale the correlation length scale, which is about a quarter of the planar laminar flame thermal thickness. This correlation and its length scale are observed to be less influenced by the fuel type or stoichiometry or turbulence Reynolds and Damkohler numbers. The time scale for fluctuating h
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Sudha, Anand, and Martin Rohde. "Using dimensionless numbers to understand interfacial mass transfer for parallel flow in a microchannel." Microfluidics and Nanofluidics 29, no. 8 (2025). https://doi.org/10.1007/s10404-025-02828-1.

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Abstract Liquid-liquid Extraction has emerged as a major technique for radioisotope extraction in recent years. This technique is particularly advantageous in the microscale as the surface-volume ratio is much larger. Since some of these radioisotopes have short half-lives, parallel flow in the microscale is used to extract them as it eliminates the need for separating the two fluids. Though such a configuration has been experimentally studied, dimensionless numbers have not been employed to understand the mass transfer mechanisms. This study uses three dimensionless numbers—the Biot, Peclet a
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Mehta, Sumit Kumar, Pratyush Bhushan, Pranab Kumar Mondal, and Somchai Wongwises. "Insight into the electroosmotic vortex modulated reaction characteristics of viscoplastic fluids." Physics of Fluids 36, no. 7 (2024). http://dx.doi.org/10.1063/5.0211413.

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Using positively charged patches embedded in the walls of a microreactor, we generated electroosmotic vortices to analyze chemical reactions involving the flow of viscoplastic species. Reactant species A and B undergo a reaction to produce species C, which possesses physical properties suitable for biomedical applications. We developed a modeling framework, extensively validated with the available experimental results as well, to solve relevant transport equations considering pertinent boundary conditions. By varying parameters, such as the Bingham number, diffusive Peclet number, relative con
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47

"Effect of soluble surfactant on the interface dynamics of a rising droplet." Physics of Fluids 35, no. 6 (2023). http://dx.doi.org/10.1063/5.0153512.

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In this study, we present numerical simulations examining the impact of soluble surfactant on the interface dynamics of a rising droplet. To achieve this, the droplet interface is tracked using an arbitrary Lagrangian–Eulerian approach, and the bulk and interfacial surfactant concentration evolution equations fully coupled with the incompressible Navier–Stokes equations are solved. We systematically evaluate the boundary of interfacial dynamics evolution by varying certain dimensionless parameters. Specifically, we study the effects of changes in parameters such as the Langmuir number, the Bio
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48

Chen, Xiao Bing, Yi Sui, Heow Pueh Lee, et al. "Mass Transport in a Microchannel Bioreactor With a Porous Wall." Journal of Biomechanical Engineering 132, no. 6 (2010). http://dx.doi.org/10.1115/1.4001044.

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A two-dimensional flow model has been developed to simulate mass transport in a microchannel bioreactor with a porous wall. A two-domain approach, based on the finite volume method, was implemented. For the fluid part, the governing equation used was the Navier–Stokes equation; for the porous medium region, the generalized Darcy–Brinkman–Forchheimer extended model was used. For the porous-fluid interface, a stress jump condition was enforced with a continuity of normal stress, and the mass interfacial conditions were continuities of mass and mass flux. Two parameters were defined to characteri
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Guan, Yifei, and Igor Novosselov. "Damkohler Number Analysis in Lean Blow-Out of Toroidal Jet Stirred Reactor." Journal of Engineering for Gas Turbines and Power 140, no. 10 (2018). http://dx.doi.org/10.1115/1.4040091.

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Lean blowout (LBO) prediction based on the local parameters in the laboratory toroidal jet-stirred reactor (TJSR) is investigated. The reactor operated on methane is studied using three-dimensional computational fluid dynamics (CFD); the results are compared with the experimental data. Skeletal chemical kinetic mechanism with the eddy dissipation concept (EDC) model is used. Flow bifurcation in the radial (poloidal) plane due to the interaction between counter-rotating vortices creates one dominating poloidal recirculation zone (PRZ) and one weaker toroidal recirculation zone (TRZ). The Damkoh
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Basavarajappa, Mahanthesh, and Dambaru Bhatta. "Nonlinear stability analysis of double‐diffusive convection in Kelvin–Voigt fluid with chemical reaction." Mathematical Methods in the Applied Sciences, May 13, 2024. http://dx.doi.org/10.1002/mma.10177.

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The influence of Rayleigh friction and chemical reaction on the onset of double‐diffusive convection in a Navier–Stokes–Voigt (NSV) fluid layer is investigated by conducting linear instability and nonlinear stability analyses. The fluid layer is subjected to isothermal conditions and chemical equilibrium at the boundaries. The solubility of the dissolved component exhibits a linear dependency on temperature. The analysis is conducted for two distinct cases: the fluid layer is heated and salted from the bottom (case‐1), and the fluid layer is heated from the bottom and salted from the top (case
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