Fluid flow in a microdiffuser at small Reynolds numbers
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Andriy A. Avramenko
Abstract
The article presents the results of an analytical study of the flow dynamics in a microdiffuser. An expression for the velocity profile is obtained with account for slip effects. The effect of the Knudsen number on the velocity profiles is shown. The effect of the microdiffuser angle on the flow velocity profile and the friction coefficient is analyzed. The opening angle of the microdiffuser was determined, at which slip effects do not affect the velocity profile.
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Research ethics: 1) This material is the authors’ own original work, which has not been previously published elsewhere; 2) The paper is not currently being considered for publication elsewhere; 3) The paper reflects the authors’ own research and analysis in a truthful and complete manner; 4) The paper properly credits the meaningful contributions of co-authors and co-researchers; 5) The results are appropriately placed in the context of prior and existing research; 6) All sources used are properly disclosed (correct citation). Literally copying of text must be indicated as such by using quotation marks and giving proper reference; 7) All authors have been personally and actively involved in substantial work leading to the paper, and will take public responsibility for its content.
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Author contributions: Analytical investigation, A.A.A.; conceptualization, A.A.A. and I.V.S.; methodology, A.A.A. and I.V.S.; validation and formal analysis, A.A.A., I.V.S., and N.P.D.; writing—original draft preparation, review and editing, A.A.A., I.V.S., and N.P.D.; writing of the final manuscript, A.A.A. and I.V.S. All authors have read and agreed to the published version of the manuscript.
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Competing interests: The authors declare no conflict of interest.
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Research funding: The authors AAA and NPD gratefully acknowledge the programs of research grants of the NAS of Ukraine “Support of priority for the state scientific researches and scientific and technical (experimental) developments” 2022–2023. Project 6541230: “Development of scientific bases of heat and mass transfer and combustion processes for improvement of technologies of production and use of renewable fuels for the purpose of decarbonization of energy of Ukraine”.
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Data availability: The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
1. Zhang, J, Yan, S, Yuan, D, Alici, G, Nguyen, NT, Warkiani, ME, et al.. Fundamentals and applications of inertial microfluidics: a review. Lab Chip 2016;16:10–14. https://doi.org/10.1039/c5lc01159k.Search in Google Scholar PubMed
2. Dutczak, J. Micro turbine engines for drones propulsion. Mater Sci Eng 2016;148:012063. https://doi.org/10.1088/1757-899x/148/1/012063.Search in Google Scholar
3. Jims, G, Wessle, J. Design and modeling of a micro turbojet engine for UAV propulsion. Int J Eng Adv Technol 2019;8:722–6.Search in Google Scholar
4. Alonzo, D, Crocker, A, James, E, Kingston, J. Design and manufacturing of a miniature turbojet engine. Worcester, USA: Worcester Polytechnic Institute; 2018:83 p.Search in Google Scholar
5. Erario, ML, De Giorgi, MG, Przysowa, R. Model-based dynamic performance simulation of a microturbine. Mater Sci Eng 2022;1226:012032. https://doi.org/10.1088/1757-899x/1226/1/012032.Search in Google Scholar
6. Calvert, M, Baker, J. Thermal conductivity and gaseous microscale transport. J Thermophys Heat Transfer 1988;12:138–45. https://doi.org/10.2514/2.6338.Search in Google Scholar
7. Gad-el-Hak, M. The fluid mechanics of microdevices – the freeman scholar lecture. Trans ASME J Fluids Eng 1999;121:5–33. https://doi.org/10.1115/1.2822013.Search in Google Scholar
8. Bird, GA. Molecular gas dynamics and the direct simulation of gas flows. Clarendon: Oxford University Press; 1994.10.1093/oso/9780198561958.001.0001Search in Google Scholar
9. Lauga, E, Brenner, M, Stone, H. Microfluidics: the no-slip boundary condition. Berlin: Springer Handbook of Experimental Fluid Mechanics; 2007:1219–40 pp.10.1007/978-3-540-30299-5_19Search in Google Scholar
10. Griffini, G, Gavriilidis, A. Effect of microchannel plate design on fluid flow uniformity at low flow rates. Chem Eng Technol 2007;30:395–406. https://doi.org/10.1002/ceat.200600324.Search in Google Scholar
11. Tao, R, Ng, T, Su, Y, Li, Z. A microfluidic rectifier for Newtonian fluids using asymmetric converging–diverging microchannels. Phys Fluids 2020;32:052010. https://doi.org/10.1063/5.0007200.Search in Google Scholar
12. Yang, D, Krasowska, M, Priest, C, Popescu, MN, Ralston, J. Dynamics of capillary-driven flow in open microchannels. J Phys Chem C 2011;115:18761–9. https://doi.org/10.1021/jp2065826.Search in Google Scholar
13. Fan, X, Phan-Thien, N, Yong, NT, Wu, X, Xu, D. Microchannel flow of a macromolecular suspension. Phys Fluids 2003;15:11–21. https://doi.org/10.1063/1.1522750.Search in Google Scholar
14. Kashaninejad, N, Chan, WK, Nguyen, NT. Analytical modeling of slip flow in parallel-plate microchannels. Micro Nanosyst 2013;5:1–8. https://doi.org/10.2174/187640290504131127120423.Search in Google Scholar
15. Avramenko, AA, Tyrinov, AI, Shevchuk, IV. Theoretical investigation of steady isothermal slip flow in a curved microchannel with a rectangular cross-section and constant radii of wall curvature. Eur J Mech B Fluid 2015;54:87–97. https://doi.org/10.1016/j.euromechflu.2015.07.002.Search in Google Scholar
16. Avramenko, AA, Tyrinov, AI, Shevchuk, IV. An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe. Phys Fluids 2015;27:042001. https://doi.org/10.1063/1.4916621.Search in Google Scholar
17. Avramenko, AA, Tyrinov, AI, Shevchuk, IV, Dmitrenko, NP, Kravchuk, AV, Shevchuk, VI. Mixed convection in a vertical flat microchannel. Int J Heat Mass Transfer 2017;106:1164–73. https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.096.Search in Google Scholar
18. Avramenko, AA, Tyrinov, AI, Shevchuk, IV, Dmitrenko, NP, Kravchuk, AV, Shevchuk, VI. Mixed convection in a vertical circular microchannel. Int J Heat Mass Transfer 2017;121:1–12. https://doi.org/10.1016/j.ijthermalsci.2017.07.001.Search in Google Scholar
19. Avramenko, AA, Dmitrenko, NP, Shevchuk, IV. Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions. J Therm Anal Calorim 2021;144:955–61. https://doi.org/10.1007/s10973-020-09517-x.Search in Google Scholar
20. Beskok, A, Karniadakis, GE. Report: a model for flows in channels, pipes and ducts at micro and nano scales. Microscale Thermophys Eng 1999;3:43–77. https://doi.org/10.1080/108939599199864.Search in Google Scholar
21. Miner, MJ, Phelan, PE, Odom, BA, Ortiz, CA, Prasher, RS, Sherbeck, JA. Optimized expanding microchannel geometry for flow boiling. Trans ASME J Heat Transfer 2013;135:042901. https://doi.org/10.1115/1.4023260.Search in Google Scholar
22. Tyrinov, AI, Avramenko, AA, Basok, BI, Davydenko, BV. Modeling of flows in a microchannel based on the Boltzmann lattice equation. J Eng Phys Thermophys 2012;85:65–72. https://doi.org/10.1007/s10891-012-0621-1.Search in Google Scholar
23. Hamel, G. Spiralförmige Bewegungen zäher Flüssigkeiten. Jahresber Dtsch Math Ver 1917;25:34–60.Search in Google Scholar
24. Schlichting, H. Boundary-layer theory 9 ed. Berlin: Springer; 2017:833 p.10.1007/978-3-662-52919-5Search in Google Scholar
25. Liao, QD, Yang, KT, Nee, VW. An analysis of conjugate heat-transfer from a heated wall in a channel with zero-mean oscillatory flow for small oscillatory flow Reynolds-numbers. Int J Heat Mass Tran 1994;37:415–23. https://doi.org/10.1016/0017-9310(94)90041-8.Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Proper Orthogonal Decomposition analysis of mode switching in supersonic jets impinging on flat and corrugated plates
- Impact of cavity and ramp configuration on the combustion performance of a strut-based scramjet combustor
- In-service load calculation surrogate models for high-pressure turbine blade life digital twin
- Numerical analysis on the effect of passive control geometry in supersonic jet mixing enhancement
- Study on one-dimensional performance prediction of multi-stage axial turbine based on the blade height
- Dynamic characteristics of open-ends squeeze film dampers with air ingestion
- Fluid flow in a microdiffuser at small Reynolds numbers
- A study on optimal rotor speed control method for helicopter power system considering the influence of infrared suppressors
- Effects of turbulence and flamelet combustion modelling on the CFD simulation of a dual inlet ramjet combustor
- Design and combustion characteristics analysis of a static shaft turbofan engine
- Aerothermal effects of squealer openings on a cavity tip in a turbine cascade
- Endwall heat transfer in wedge channel with teardrop pin fins, circular fins and oblong pin fins
- Virtual deflection with synthetic jet actuators at high angles of attack
- Design of mode transition control system for tandem TBCC engine based on direct performance parameters closed-loop control
- Effect of tab shape, length, and placement on the over-expanded free jet at Mach 2.0
- Influence of the ending position of controllable speed casing on a transonic compressor rotor tip leakage flow
- Integrated modeling and coupling characteristics analysis of helicopter/engine/infrared suppressor
- Effect of velocity ratio and Mach number on thin lip coaxial jet
- C conjugate heat transfer simulation of swirl internal cooling on blade leading edge
- Influence of inlet structure on combustion flow structure in magnesium powder fueled water ramjet engine
- Research on high-bandwidth linear active disturbance rejection control method for variable speed turboshaft engine
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