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1

Rzyski, Edward. "Mixing time (Time to Homogenization) in the transition region of mixing." Chemical Engineering Journal 31, no. 2 (1985): 75–81. http://dx.doi.org/10.1016/0300-9467(85)80046-0.

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2

Gandhi, Arijit, Suma Oommen Sen, Debabrata Manna, Chandrani Roy, Kalyan Kumar Sen, and S. Deb Roy. "STUDIES ON THE EFFECT OF MIXING TIME, SPEED AND CONCENTRATION OF ONE COMPONENT ON MIXING INDEX." Indian Research Journal of Pharmacy and Science 04, no. 01 (2017): 887–94. http://dx.doi.org/10.21276/irjps.2017.4.1.3.

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3

Kutta, Tim. "Approximately mixing time series." Statistics & Probability Letters 220 (May 2025): 110360. https://doi.org/10.1016/j.spl.2025.110360.

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4

Kawase, Y., and M. Moo-Young. "Mixing time in bioreactors." Journal of Chemical Technology & Biotechnology 44, no. 1 (2007): 63–75. http://dx.doi.org/10.1002/jctb.280440107.

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5

Funakoshi, Mitsuaki. "Chaotic mixing and mixing efficiency in a short time." Fluid Dynamics Research 40, no. 1 (2008): 1–33. http://dx.doi.org/10.1016/j.fluiddyn.2007.04.004.

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6

BENJAMINI, ITAI, NOAM BERGER, and ARIEL YADIN. "Long-Range Percolation Mixing Time." Combinatorics, Probability and Computing 17, no. 4 (2008): 487–94. http://dx.doi.org/10.1017/s0963548308008948.

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We provide an estimate, sharp up to poly-logarithmic factors, of the asymptotic almost sure mixing time of the graph created by long-range percolation on the cycle of length N ($\Integer/N\Integer$). While it is known that the asymptotic almost sure diameter drops from linear to poly-logarithmic as the exponent s decreases below 2 [4, 9], the asymptotic almost sure mixing time drops from N2 only to Ns-1 (up to poly-logarithmic factors).
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7

Christensen, U. "Mixing by time-dependent convection." Earth and Planetary Science Letters 95, no. 3-4 (1989): 382–94. http://dx.doi.org/10.1016/0012-821x(89)90112-x.

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8

Abreu, P., W. Adam, T. Adye, et al. "Measurement of time dependent mixing." Physics Letters B 338, no. 2-3 (1994): 409–20. http://dx.doi.org/10.1016/0370-2693(94)91398-6.

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9

NEWKIRK, K. A., L. W. HAND, and D. S. SUlTON. "Cooking Treatment, Mixing Time, and Mixing Temperature Affect Pepperoni Cupping." Journal of Food Science 60, no. 3 (1995): 583–86. http://dx.doi.org/10.1111/j.1365-2621.1995.tb09832.x.

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10

Weiss, Michael. "Cardiac output and systemic transit time dispersion as determinants of circulatory mixing time: a simulation study." Journal of Applied Physiology 107, no. 2 (2009): 445–49. http://dx.doi.org/10.1152/japplphysiol.00140.2009.

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A new approach to characterize the kinetics of intravascular mixing process is presented. The mixing time, defined as the time required for achieving 95% homogeneity, is calculated by numerical simulations using a circulatory model applied to the intravascular marker indocyanine green (ICG). The results suggest that the mixing time is determined by cardiac output and the relative dispersion of transit time distribution across the systemic circulation, whereby the rate of mixing increases with increasing cardiac output and decreasing transit time dispersion, and vice versa. The estimation of pl
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11

Mazanec, O., D. Lowke, and P. Schießl. "Mixing of high performance concrete: effect of concrete composition and mixing intensity on mixing time." Materials and Structures 43, no. 3 (2009): 357–65. http://dx.doi.org/10.1617/s11527-009-9494-y.

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12

Khan, A., Z. H. Lodhi, and A. Q. Malik. "Development and Experimental Investigation on Delay Time Consistency of Modified Si/PbO/Pb3O4/FG Pyrotechnic Delay Composition." Engineering, Technology & Applied Science Research 7, no. 6 (2017): 2167–70. https://doi.org/10.5281/zenodo.1118276.

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In the present study, experimental investigation was carried out on the delay time consistency of modified Si/PbO/Pb3O4/FG pyrotechnic delay composition in a delay tube. Where Si is the fuel, PbO/Pb3O4 are oxidizers and Fish Glue (FG) is the binder. Ingredient mixing and loading pressure were studied. Results revealed that homogenous mixing of the delay composition is a very critical parameter for controlling the time consistency of pyrotechnic delay composition. The delay time accuracy was improved from 25% to about 7.42% by ensuring homogenous mixing of the ingredients. Results also show tha
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13

Muthaiah, Rm, R. Manjari, V. N. Krishnamurthy, and B. R. Gupta. "Rheology of HTPB Propellant: Effect of Mixing Speed and Mixing Time." Defence Science Journal 43, no. 2 (1993): 167–92. http://dx.doi.org/10.14429/dsj.43.4328.

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14

Ngo, Hai-Thong, Abdelhak Kaci, El-Hadj Kadri, Tien-Tung Ngo, Alain Trudel, and Sylvie Lecrux. "Energy consumption reduction in concrete mixing process by optimizing mixing time." Energy Procedia 139 (December 2017): 810–16. http://dx.doi.org/10.1016/j.egypro.2017.11.293.

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15

Kim, Kwang-Jea, and John VanderKooi. "Moisture Effects on TESPD-Silica/CB/SBR Compounds." Rubber Chemistry and Technology 78, no. 1 (2005): 84–104. http://dx.doi.org/10.5254/1.3547875.

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Abstract Moisture was treated on a silica surface and it was added into bis(triethoxysilylpropyl)disulfide (TESPD)/carbon black (CB)/S-SBR compound and mixed in an internal mixer. The effects of moisture were investigated with respect to the temperature rise during mixing, processability, cure characteristics, and mechanical properties and two-pass (2P) mixings were compared with conventional three-pass (3P) mixings. Addition of the moisture treated silica into the compound lowered the heat generation during mixing, lowered the drop temperature, decreased the scorch time, lowered the heat buil
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16

Defrance, Guillaume. "A review of mixing time estimators." Journal of the Acoustical Society of America 129, no. 4 (2011): 2501. http://dx.doi.org/10.1121/1.3588259.

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17

Defrance, Guillaume, and Jean‐Dominique Polack. "Measuring the mixing time in auditoria." Journal of the Acoustical Society of America 123, no. 5 (2008): 3499. http://dx.doi.org/10.1121/1.2934368.

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18

Gerencsér, Balázs. "Markov chain mixing time on cycles." Stochastic Processes and their Applications 121, no. 11 (2011): 2553–70. http://dx.doi.org/10.1016/j.spa.2011.07.007.

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19

Kristensson, Gerhard, Sten Rikte, and Ari Sihvola. "Mixing formulas in the time domain." Journal of the Optical Society of America A 15, no. 5 (1998): 1411. http://dx.doi.org/10.1364/josaa.15.001411.

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20

Addario-Berry, Louigi, and Matthew I. Roberts. "Mixing Time Bounds via Bottleneck Sequences." Journal of Statistical Physics 173, no. 3-4 (2017): 845–71. http://dx.doi.org/10.1007/s10955-017-1917-5.

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21

Wilson, David. "Mixing Time of the Rudvalis Shuffle." Electronic Communications in Probability 8 (2003): 77–85. http://dx.doi.org/10.1214/ecp.v8-1071.

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22

de la Cruz, L. M., and E. Ramos. "Mixing with time dependent natural convection." International Communications in Heat and Mass Transfer 33, no. 2 (2006): 191–98. http://dx.doi.org/10.1016/j.icheatmasstransfer.2005.09.001.

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23

Bhamidi, Shankar, Guy Bresler, and Allan Sly. "Mixing time of exponential random graphs." Annals of Applied Probability 21, no. 6 (2011): 2146–70. http://dx.doi.org/10.1214/10-aap740.

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24

Morris, Ben. "The mixing time for simple exclusion." Annals of Applied Probability 16, no. 2 (2006): 615–35. http://dx.doi.org/10.1214/105051605000000728.

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25

Erb, Raphael. "Bounds on Mixing Time for Time-Inhomogeneous Markov Chains." Latin American Journal of Probability and Mathematical Statistics 21, no. 2 (2024): 1915. https://doi.org/10.30757/alea.v21-73.

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26

PATEL, HARESHKUMAR, FARHAD EIN-MOZAFFARI, and SIMANT R. UPRETI. "Continuous Time Domain Characterization of Mixing in Agitated Pulp Chests." May 2008 7, no. 5 (2008): 3–9. http://dx.doi.org/10.32964/tj7.5.3.

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Abstract (sommario):
Although mixing is widely used in the chemical process industry, it is difficult to characterize. Mixing is even more difficult to characterize in pulp and paper manufacturing, which involves non-Newtonian pulp suspensions and non-ideal flows. In the past, researchers have characterized mixing in the discrete-time domain with model simplifications. In our study, we used the continuous time domain to determine the mixing parameters for laboratory-scale agitated pulp chests. We used a robust hybrid algorithm incorporating genetic operations and gradient search in conjunction with the differentia
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27

Pinsky, M., A. Khain, and A. Korolev. "Theoretical analysis of mixing in liquid clouds – Part 3: Inhomogeneous mixing." Atmospheric Chemistry and Physics Discussions 15, no. 21 (2015): 30321–81. http://dx.doi.org/10.5194/acpd-15-30321-2015.

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Abstract. An idealized model of time-dependent mixing between cloud and non-cloud volumes is analyzed. Initial droplet size distribution (DSD) in cloud volume is assumed to be monodisperse. Both analytical investigation and parcel model investigation are used to study mixing processes and solve diffusion-evaporation equations. It is shown that the evolution of microphysical variables and the final equilibrium stage are unambiguously determined by two non-dimensional parameters. The first parameter, R, which is proportional to the ratio of the saturation deficit to the liquid water content in a
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28

Zhao, Wu, Jing Yang, Wenjun Zhao, and Chi Yang. "Experimental study on the influence of mixing time on concrete performance under different mixing modes." Science and Engineering of Composite Materials 28, no. 1 (2021): 638–51. http://dx.doi.org/10.1515/secm-2021-0061.

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Abstract To study the influence of different mixing times on the performance of concrete under vibration mixing and conventional mixing, C40 and C60 are selected in this paper to verify the influence of mixing time of 60, 75, 90, 105, and 120 s on the compressive strength and durability of concrete comparing vibration mixing and common forced mixing. The results show that the early strength of concrete is more significantly improved in 3 and 7 day; the strength with vibration mixing for mixing 105 s in each age is higher than that of conventional mixing at 120 s; under the condition of guarant
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29

Espinosa-Solares, T., E. Brito-de la Fuente, A. Tecante, L. Medina-Torres, and P. A. Tanguy. "Mixing Time in Rheologically Evolving Model Fluids by Hybrid Dual Mixing Systems." Chemical Engineering Research and Design 80, no. 8 (2002): 817–23. http://dx.doi.org/10.1205/026387602321143345.

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30

Guo, Xipeng, Yun Liu, Yasmeen Jojo-Cunningham, Armin Silaen, Nicholas Walla, and Chenn Zhou. "Mixing Time Prediction in a Ladle Furnace." Metals 14, no. 5 (2024): 518. http://dx.doi.org/10.3390/met14050518.

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This paper presents a study on the effectiveness of two turbulence models, the large eddy simulation (LES) model and the k-ε turbulence model, in predicting mixing time within a ladle furnace using the computational fluid dynamics (CFD) technique. The CFD model was developed based on a downscaled water ladle from an industrial ladle. Corresponding experiments were conducted to provide insights into the flow field, which were used for the validation of CFD simulations. The correlation between the flow structure and turbulence kinetic energy in relation to mixing time was investigated. Flow fiel
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31

Jiang, Zhen Zhen, Yang Chen, and Jun Ren Zhu. "Optimization of the Coagulation Process for Kaolin and Humic Acid Removal Using Polymeric Aluminum Ferric Sulfate." Advanced Materials Research 1088 (February 2015): 353–57. http://dx.doi.org/10.4028/www.scientific.net/amr.1088.353.

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In the paper, the optimization of the coagulation process for Kaolin and humic acid removal using polymeric aluminum ferric sulfate (PAFS) was studied. In order to obtain the maximum turbidity and humic acid removal efficiency of Kaolin and humic acid simulated wastewater, the optimum coagulation conditions was investigated with the factors of mixing speed and time. Furthermore, mixing speed and time including parameters affecting the coagulation performance such as rapid mixing speed, rapid mixing time, slow mixing speed and slow mixing time using single factor and orthogonal array L9 (34) an
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32

Mock, Adam. "Calculating Scattering Spectra using Time-domain Modeling of Time-modulated Systems." Applied Computational Electromagnetics Society 35, no. 11 (2021): 1288–89. http://dx.doi.org/10.47037/2020.aces.j.351113.

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Obtaining agreement between theoretical predictions that assume single-frequency excitation and finite-difference time-domain (FDTD) simulations that employ broadband excitation in the presence of time-varying materials is challenging due to frequency mixing. A simple solution is proposed to reduce artifacts in FDTD-calculated spectra from the frequency mixing induced by harmonic refractive index modulation applicable to scenarios in which second order and higher harmonics are negligible. Advantages of the proposed method are its simplicity and applicability to arbitrary problems including res
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33

Gorev, V. A., E. S. Klenov, and N. V. Leshchev. "Potential Emergency Explosion by Chain-Heat Mechanism." Occupational Safety in Industry, no. 7 (July 2024): 34–40. http://dx.doi.org/10.24000/0409-2961-2024-7-34-40.

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The study analyzes potential gas explosion as a result of auto-ignition. Auto-ignition occurs in a system formed due to the mixing of combustion hot products with the initial cold mix containing fuel. These situations may occur in turbine engines in case of flame slip and blow-off, explosion products’ flow from one room to another, or to the gas-contaminated open space. The process of formation of systems studied in the article is based on the balance of total enthalpy of mixing combustion hot products of a hydrocarbon mixture with air and a cold initial mix containing fuel. The greatest atten
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34

Nicolaidis, Argyris. "Neutrinos and the structure of space-time." Facta universitatis - series: Physics, Chemistry and Technology 12, no. 2 (2014): 179–88. http://dx.doi.org/10.2298/fupct1402179n.

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The phenomenon of neutrino oscillations is studied usually as a mixing between the flavor neutrinos and the neutrinos having a definite mass. The mixing angles and the mass eigenvalues are treated independently in order to accommodate the experimental data. We suggest that neutrino oscillations are connected to the structure of spacetime. We expand on a recently proposed model, where two ?mirror? branes coexist. One brane hosts left-handed particles (our brane), while the other brane hosts right-handed particles. Majorana-type couplings mixes neutrinos in an individual brane, while Dirac-type
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35

Bajpai, Gaurav, and Samuel Safran. "Mesoscale, long-time mixing of chromosomes and its connection to polymer dynamics." PLOS Computational Biology 19, no. 5 (2023): e1011142. http://dx.doi.org/10.1371/journal.pcbi.1011142.

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Chromosomes are arranged in distinct territories within the nucleus of animal cells. Recent experiments have shown that these territories overlap at their edges, suggesting partial mixing during interphase. Experiments that knock-down of condensin II proteins during interphase indicate increased chromosome mixing, which demonstrates control of the mixing. In this study, we use a generic polymer simulation to quantify the dynamics of chromosome mixing over time. We introduce the chromosome mixing index, which quantifies the mixing of distinct chromosomes in the nucleus. We find that the chromos
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36

Urban, Karol, and Alena Sicakova. "The Effect of Mixing Technique and Prolonged Mixing Time on Strength Characteristics of Concrete." Proceedings 2, no. 20 (2018): 1290. http://dx.doi.org/10.3390/proceedings2201290.

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The experiment aims to test the triple mixing (3M) technique to produce the concrete with recycled concrete aggregate (RCA). Then, the impact prolonged mixing, representing the influence of delivery and discharge time in praxis, is analysed by the change in strength properties. Both the 28-day compressive strength and tensile splitting strength are evaluated in two aspects: the prolonged mixing time (0, 45 and 90 min after initial mixing), and the mixing method (normal and triple). Prolonged mixing time brought both the positive and negative changes in strength characteristics however the wors
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37

Wang, Chuan Sheng, and Wei Wei Liu. "Effect of Different Parking Time on Mixing Rubber’s Physical Properties in Two-Stage Mixing Process." Key Engineering Materials 561 (July 2013): 380–83. http://dx.doi.org/10.4028/www.scientific.net/kem.561.380.

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One-stage mixing refers to put rubber and additions into the mixing room and make a cycle mixing process. Two-stage mixing refers to make another cycle mixing process to the compound which producted by the one-stage mixing process after parking a certain time.In this paper, traditional internal mixer’s two-stage mixing experiments under different parking time were studied and the experimental results were that the best parking time was 8 hours.
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38

Madhania, Suci, Ni’am Nisbatul Fathonah, Kusdianto, Tantular Nurtono, and Sugeng Winardi. "Turbulence Modeling in Side-Entry Stirred Tank Mixing Time Determination." MATEC Web of Conferences 333 (2021): 02003. http://dx.doi.org/10.1051/matecconf/202133302003.

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Mixing is one of the critical processes in the industry. The stirred tank is one of the operating units commonly used in the mixing process. Several factors greatly influence the efficiency of the stirred tank, including the stirred-tank design, operating conditions, and working fluid properties. The side-entry stirred tank is widely applied in industry, among others; the processing of crude oil in the refinery industry, water-molasses mixing in the bioethanol industry, pulp stock chest in the pulp and paper industry, and anaerobic digester for biogas reactors. Mixing time is one of the critic
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39

Madhania, Suci, Ni’am Nisbatul Fathonah, Kusdianto, Tantular Nurtono, and Sugeng Winardi. "Turbulence Modeling in Side-Entry Stirred Tank Mixing Time Determination." MATEC Web of Conferences 333 (2021): 02003. http://dx.doi.org/10.1051/matecconf/202133302003.

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Abstract (sommario):
Mixing is one of the critical processes in the industry. The stirred tank is one of the operating units commonly used in the mixing process. Several factors greatly influence the efficiency of the stirred tank, including the stirred-tank design, operating conditions, and working fluid properties. The side-entry stirred tank is widely applied in industry, among others; the processing of crude oil in the refinery industry, water-molasses mixing in the bioethanol industry, pulp stock chest in the pulp and paper industry, and anaerobic digester for biogas reactors. Mixing time is one of the critic
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40

Mohammadpour, A., M. A. Akhvan-Behabadi, M. Nosrati, M. Ebrahimzadeh, and A. R. Majdinasab. "Evaluation and Optimization of Efficiency and Mixing Time in a Surface Aeration Tank." International Journal of Chemical Engineering and Applications 6, no. 3 (2015): 160–64. http://dx.doi.org/10.7763/ijcea.2015.v6.473.

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41

H.G.Diyorov. "Determination of the main parameters and operating mode of a hexagonal mixing drum with additional agitators." Multidisciplinary Journal of Science and Technology 4, no. 12 (2024): 799–807. https://doi.org/10.5281/zenodo.14551300.

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The article provides determination of the main parameters and operating mode of a hexagonal mixing drum with additional agitators.<strong> </strong>This indicates the reliability of the data obtained during experimental studies, since the time of mixing treated seeds in a hexagonal mixing drum affects the performance of seed treatment. The results obtained are influenced by other factors, which also play an important role in the values of the productivity of seed dressing in a hexagonal mixing drum, therefore, with the values of the mixing time of treated seeds in a hexagonal mixing drum from
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42

Zhang, Zhang, Wu, et al. "Comparison of Micro-Mixing in Time Pulsed Newtonian Fluid and Viscoelastic Fluid." Micromachines 10, no. 4 (2019): 262. http://dx.doi.org/10.3390/mi10040262.

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Fluid mixing plays an essential role in many microfluidic applications. Here, we compare the mixing in time pulsing flows for both a Newtonian fluid and a viscoelastic fluid at different pulsing frequencies. In general, the mixing degree in the viscoelastic fluid is higher than that in the Newtonian fluid. Particularly, the mixing in Newtonian fluid with time pulsing is decreased when the Reynolds number Re is between 0.002 and 0.01, while it is enhanced when Re is between 0.1 and 0.2 compared with that at a constant flow rate. In the viscoelastic fluid, on the other hand, the time pulsing doe
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43

Ahmadi, A., R. Belk, C. Tamon, and C. Wendler. "On mixing in continuous-time quantum walks on some circulant graphs." Quantum Information and Computation 3, no. 6 (2003): 611–18. http://dx.doi.org/10.26421/qic3.6-4.

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Classical random walks on well-behaved graphs are rapidly mixing towards the uniform distribution. Moore and Russell showed that the continuous-time quantum walk on the hypercube is instantaneously uniform mixing. We show that the continuous-time quantum walks on other well-behaved graphs do not exhibit this uniform mixing. We prove that the only graphs amongst balanced complete multipartite graphs that have the instantaneous exactly uniform mixing property are the complete graphs on two, three and four vertices, and the cycle graph on four vertices. Our proof exploits the circulant structure
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44

Solís, Jorge L. "Mixing Time in a Bilingual Program: When Science Time is English Time." Association of Mexican American Educators Journal 11, no. 1 (2016): 146. http://dx.doi.org/10.24974/amae.11.336.

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The setting of this study reflects a common approach for teaching science to K-5 bilingual/multilingual learners combining science time with English-only language instruction. While programs that use both languages to teach bilingual students are more effective in preparing K-5 Latin@ students in science, instruction in science in K-5 classrooms remains largely taught in English. The paper examines how a recurring classroom routine, Community Circle time, exposes the academic and behavioral expectations of a 3rd classroom composed of bilingual/multilingual students learning science. The paper
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45

van der Velde, Ype, Ingo Heidbüchel, Steve W. Lyon, et al. "Consequences of mixing assumptions for time-variable travel time distributions." Hydrological Processes 29, no. 16 (2014): 3460–74. http://dx.doi.org/10.1002/hyp.10372.

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46

Cascaval, Dan, Corneliu Oniscu, Anca-Irina Galaction, and Fiorina Ungureanu. "Modeling of mixing for stirred bioreactors: 3. Mixing time for aerated simulated broths." Chemical Industry 56, no. 12 (2002): 506–13. http://dx.doi.org/10.2298/hemind0212506c.

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This paper presents the experiments on mixing efficiency for aerated media for a laboratory stirred bioreactor with a double turbine impeller. The effects of stirrer rotation speed, air volumetric flow rate and stirrer position on the shaft on mixing time for aerated water and simulated broths (CMCNa solutions) were analyzed. Compared to non-aerated broths, the results indicated that the variation of mixing time with the considered parameters is very different, due to the complex flow mechanism of the gas-liquid dispersion, a mechanism which is changed by changing the broth properties or ferme
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47

AMI, Takayuki, Takakage ARAI, Jiro KASAHARA, Fuminori SAKIMA, and Masaya MURAKOSHI. "710 Time Series Measurements on Mixing Condition of Hydrogen-Air Supersonic Mixing Layer." Proceedings of Conference of Hokkaido Branch 2001.41 (2001): 244–45. http://dx.doi.org/10.1299/jsmehokkaido.2001.41.244.

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48

Delaplace, G., L. Bouvier, A. Moreau, R. Gu�rin, and J.-C. Leuliet. "Determination of mixing time by colourimetric diagnosis?Application to a new mixing system." Experiments in Fluids 36, no. 3 (2004): 437–43. http://dx.doi.org/10.1007/s00348-003-0741-7.

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49

Murthy Shekhar, S., and S. Jayanti. "CFD Study of Power and Mixing Time for Paddle Mixing in Unbaffled Vessels." Chemical Engineering Research and Design 80, no. 5 (2002): 482–98. http://dx.doi.org/10.1205/026387602320224067.

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Caputo, Pietro, and Matteo Quattropani. "Mixing time trichotomy in regenerating dynamic digraphs." Stochastic Processes and their Applications 137 (July 2021): 222–51. http://dx.doi.org/10.1016/j.spa.2021.03.003.

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