Modeling of velocity and stress on a flat surface subjected to airflow in interaction with oscillation energy

Simple item page
dc.citation.epage81
dc.citation.issue2
dc.citation.journalTitleУкраїнський журнал із машинобудування і матеріалознавства
dc.citation.spage70
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorDmytriv, Taras
dc.coverage.placenameЛьвів
dc.date.accessioned2025-11-18T11:50:45Z
dc.date.created2025-02-27
dc.date.issued2025-02-27
dc.description.abstractUnderstanding the mechanics of a turbulent boundary layer is important, since in most practical problems it is the turbulent boundary layer that is primarily responsible for the surface shear force or surface resistance. The velocity distribution in a turbulent boundary layer on a flat plate is considered parallel to the flow. It is important to know the correlations between the boundary layer thickness and shear stress. Therefore, the problem of controlling the flow in a boundary layer on a flat plate is one of the important problems of boundary layer mechanics. Methods for controlling the flow characteristics of the boundary layer are different, and their effectiveness is evaluated by the kinematic and dynamic indicators of the flow on the near-wall surface. The study aims to present a simple numerical method that can be used for various nonlinear problems of the mechanics of flow around surfaces in near-wall boundary layers of a planar shape in interaction with the energy of polarized oscillations of a given frequency. The paper considers the air flow on the surface of a plate in the nearwall boundary layer in interaction with the energy of polarized oscillations of a given frequency. A differential equation in dimensionless quantities is obtained and solved numerically by the Runge – Kutta method, which describes the velocity distribution in the boundary layer on a flat plate of flow. When the energy of a polarized wave is applied to the air flow, the tangential stresses change. With an increase in the frequency of oscillation of the polarized wave from 100 Hz to 1000 Hz at an air entry velocity on a streamlined flat surface of 330 m/s, the tangential stresses decrease by a factor of 3. At an air entry velocity on a streamlined flat surface of 1000 m/s, with an increase in the frequency of oscillation of the polarized wave from 100 Hz to 1000 Hz, the tangential stresses decrease by a factor of 2. At air entry velocities up to 100 m/s, the tangential stresses decrease slightly by 24 %. The nature of the change in tangential stresses is linear in the initial coordinate, which corresponds to the beginning of the air flow entering the plate surface, with two transition points at Mach numbers 1 and 3. The presented method of modeling the velocity distribution and tangential stresses in the boundary layer on a flat surface of the air flow in interaction with the vibration energy makes it possible to calculate the force loads on the surface in the entire range of flow speeds.
dc.format.extent70-81
dc.format.pages12
dc.identifier.citationDmytriv T. Modeling of velocity and stress on a flat surface subjected to airflow in interaction with oscillation energy / Taras Dmytriv // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv Politechnic Publishing House, 2025. — Vol 11. — No 2. — P. 70–81.
dc.identifier.citationenDmytriv T. Modeling of velocity and stress on a flat surface subjected to airflow in interaction with oscillation energy / Taras Dmytriv // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv Politechnic Publishing House, 2025. — Vol 11. — No 2. — P. 70–81.
dc.identifier.doidoi.org/10.23939/ujmems2025.02.070
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/120187
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofУкраїнський журнал із машинобудування і матеріалознавства, 2 (11), 2025
dc.relation.ispartofUkrainian Journal of Mechanical Engineering and Materials Science, 2 (11), 2025
dc.relation.references[1] I. Jacobi and B. J. McKeon, "Dynamic roughness perturbation of a turbulent boundary layer", Journal of Fluid Mechanics, Vol. 688, pp. 258-296, 2011.
dc.relation.references[2] S. Duvvuri and B.J. McKeon, "Phase relationships in presence of a synthetic large-scale in a turbulent boundary layer", 44th AIAA Fluid Dynamics Conference, AIAA Aviation, p. 2883, 2014.
dc.relation.references[3] H. S. Dou and B. C. Khoo, "Mechanism of wall turbulence in boundary layer flow", Modern Physics Letters B, Vol. 23(3), pp. 457−460, 2009.
dc.relation.references[4] R. Wahidi, W. Chakroun and S. Al-Fahed, "The behavior of the skin-friction coefficient of a turbulent boundary layer flow over a flat plate with differently configured transverse square grooves", Experimental Thermal and Fluid Science, Vol. 30, pp. 141-152, 2005.
dc.relation.references[5] R.D. Joslin, "Aircraft laminar flow control", Annual Review of Fluid Mechanics, Vol. 30(1), pp. 1-19.
dc.relation.references[6] G.H. Schrauf and K.H. Horstmann, "Simplified hebrid laminar flow control", European Congress on Computational Methods in Applied Sciences and Engineering, Jyvaskyla, Finland, p.27, 2004.
dc.relation.references[7] J.R. Roth, D. Sherman and S.P. Wilkinson, "Boundary layer flow control with one atmosphere uniform glow discharge surface plasma", 36th ASAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 29, 1998.
dc.relation.references[8] J.R. Roth and X. Dai, "Optimization of the aerodynamic plasma actuator as an electrohydrodynamic (END) electrical device", 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 29, 31, 41-45, 2006.
dc.relation.references[9] T.C. Corke, C.L. Enloe and S.P. Wilkinson, "Dielectric barrier discharge plasma actuator for flow control", Annual Review of Fluid Mechanics, Vol. 42, pp. 505-529, 2010.
dc.relation.references[10] Y.C. Cho, B. Jayaraman, F. Viana, R. Haftka and W. Shyy, "Surrogate modeling for characteriszing the performance of dielectric barrier discharge plasma actuator", 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 1381, 2008.
dc.relation.references[11] T.S. Abe, S. Sato and N. Kimura, "A parametric experimental study for momentum transfer by plasma actuator", 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 0187, 2007.
dc.relation.references[12] G.I. Font, "Boundary layer control with atmospheric plasma discharges", 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Fort Lauderdale, FL, p. 3574, 2004.
dc.relation.references[13] M. Forte, J. Jolibois, J. Pons, E. Moreau, G. Touchard and M. Cazalens, "Optimization of a dielectric barrier discharge actuator by stationary and non-stationary measurements of the induced flow velocity: application to airflow control", Experimental Fluids, Vol. 43(6), pp. 917-928, 2007.
dc.relation.references[14] J.R. Roth, Industrial plasma engineering; Vol. 2 - Applications to non-thermal plasma processing, USA: Institute of Physics Publishing (cit. on p. 31), 2001.
dc.relation.references[15] R. Van Dyken, T.E. McLaughlin and C.L. Enloe, "Parametric investigations of a single dielectric barrier plasma actuator", 42th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 0846, 2004.
dc.relation.references[16] V.I. Kornilov, "Current state and prospects of researches on the control of turbulent boundary layer by air blowing", Prog. Aerosp. Sci., Vol. 76, pp. 1-23, 2015.
dc.relation.references[17] J. Tiainen, A. Grönman, A. Jaatinen-Värri, and J. Backman, "Flow control methods and their applicability in low-reynolds-number centrifugal compressors - A Review", International Journal of Turbomachinery, Propulsion and Power, Vol. 3(1), p. 2, 2018. https://doi.org/10.3390/ijtpp3010002
dc.relation.references[18] M. Amitay and S. Gildersleeve, "Virtual and physical surface modifications as means for flow control", AIAA Journal, Vol. 57(1), pp. 53-71, 2019. DOU: 10.2514/1.J056521
dc.relation.references[19] L. Zhang, X. Shan and T. Xie, "Active Control for Wall Drag Reduction: Methods, Mechanisms and Performance", IEEE Access, Vol. 8, pp. 7039-7057, 2020, doi: 10.1109/ACCESS.2020.2963843
dc.relation.references[20] P. Ricco, M. Skote and M. A. Leschziner, "A review of turbulent skin-friction drag reduction by near-wall transverse forcing", Progress in Aerospace Sciences, Vol. 123, p. 100713, 2021, https://doi.org/10.1016/j.paerosci.2021.100713
dc.relation.references[21] J. Jimeґnez, "Turbulent flows over rough walls", Annual Review of Fluid Mechanics, Vol 36, pp. 173-196, 2004, https://doi.org/10.1146/annurev.fluid.36.050802.122103
dc.relation.references[22] J.P. Bons, "A review of surface roughness effects in gas turbines", J. Turbomach., Vol. 132(2), p. 021004, 2010. https://doi.org/10.1115/1.3066315
dc.relation.references[23] M. A. Oliveira, d., P. G. Moraes, d., C. L. Andrade, d., A. M. Bimbato and L. A. Alcântara Pereira, "Control and Suppression of Vortex Shedding from a Slightly Rough Circular Cylinder by a Discrete Vortex Method", Energies, Vol. 13(17), p. 4481, 2020. https://doi.org/10.3390/en13174481
dc.relation.references[24] Y.M. Chung and T. Talha, "Effectiveness of active flow control for turbulent skin friction drag reduction", Physics of Fluids, Vol. 23(2), p. 025102, 2011. https://doi.org/10.1063/1.3553278
dc.relation.references[25] A. Seifert, S. Eliahu, D. Greenblatt and I. Wygnanski, "Use of piezoelectric actuators for airfoil separation control", AIAA J., Vol. 36(8), pp. 1535-1537, 1998. https://doi.org/10.2514/2.549
dc.relation.references[26] S. Kang and H. Choi, "Active wall motions for skin-friction drag reduction", Phys. Fluids, Vol. 12(12), pp. 3301-3304, 2000. https://doi.org/10.1063/1.1320833
dc.relation.references[27] S.C. Schlanderer, N. Hutchins and R.D. Sandberg, "The effect of wall normal actuation on a turbulent boundary layer", Flow, Turbul. Combust., Vol. 99, pp. 807-821, 2017. https://doi.org/10.1007/s10494-017-9868-0
dc.relation.references[28] M. Albers, P.S. Meysonnat, D. Fernex, R. Semaan, B.R. Noack and W. Schröder, "Drag Reduction and energy saving by spanwise traveling transversal surface waves for flat plate flow", Flow, Turbul. Combust., Vol. 105, pp. 125-157, 2020. https://doi.org/10.1007/s10494-020-00110-8
dc.relation.references[29] F.J. Arias, "Ferrofluid moving thin films for active flow control", Chinese Journal of Aeronautics, Vol. 34(5), pp. 115-119, 2021. https://doi.org/10.1016/j.cja.2020.11.008
dc.relation.references[30] J.C. Lin, "Review of research on low-profile vortex generators to control boundary-layer separation", Prog. Aero. Sci. Vol.38 (4-5), pp. 389-420, 2002. https://doi.org/10.1016/S0376-0421(02)00010-6
dc.relation.references[31] Z. Zhao, R. Jiang, J. Feng, H. Liu, T. Wang, W. Shen, M. Chen, D. Wang and Y. Liu, "Researches on vortex generators applied to wind turbines: A review", Ocean Engineering, Vol. 253, p. 111266, 2022, https://doi.org/10.1016/j.oceaneng.2022.111266.
dc.relation.references[32] W. Chen and X. Sun, "A comparative study of the influences of leading-edge suction and blowing on the aerodynamic performance of a horizontal-Axis wind turbine", J. Energy. Eng., Vol. 149 (1), p. 04022051, 2023.
dc.relation.references[33] D. Berg, S.J. Johnson and C.P. van Dam, Active Load Control Techniques for Wind Turbines. Prepared by Sandia National Laboratories, Albuquerque, New Mexico, 2008.
dc.relation.references[34] K. Yousefi, S.R. Saleh and P. Zahedi, "Numerical investigation of suction and length of suction jet on aerodynamic characteristics of the NACA 0012 airfoil", International Journal of Materials, Mechanics and Manufacturing, Vol. 1(2), pp. 136-142, 2013.
dc.relation.references[35] G. Li, Z. Weiguo, J. Yubiao and Y. Pengyu, "Experimental investigation of dynamic stall flow control for wind turbine airfoils using a plasma actuator", Energy, Vol. 185, pp. 90-101, 2019, https://doi.org/10.1016/j.energy.2019.07.017.
dc.relation.references[36] M. Mohammadi and M.J. Maghrebi, "Improvement of wind turbine aerodynamic performance by vanquishing stall with active multi air jet blowing", Energy, Vol. 224, p. 120176, 2021. https://doi.org/10.1016/j.energy.2021.120176
dc.relation.references[37] S. Hoseinzadeh, A. Sohani and S. Heyns, "Comprehensive analysis of the effect of air injection on the wake development of an airfoil", Ocean. Eng., Vol. 220, p. 108455, 2021. https://doi.org/10.1016/j.oceaneng.2020.108455
dc.relation.references[38] M. Ja'fari, A.J. Jaworski and A. Rona, "Application of synthetic jet arrays for flow separation control on a circular "hump" model", Experimental Thermal and Fluid Science, Vol. 131, p. 110543, 2022. https://doi.org/10.1016/j.expthermflusci.2021.110543.
dc.relation.references[39] M. Ja'fari, A.J. Jaworski and A. Rona, "Numerical study of flow separation control over a circular hump using synthetic jet actuators", AIP Adv., Vol. 12(9), p. 095205, 2022. DOI: 10.1063/5.0099926
dc.relation.references[40] J.-L. Hu, X.-W. Tang and J.-N. Qiu, "Analysis of the influences of sampling bias and class imbalance on performances of probabilistic liquefaction models", International Journal of Geomechanics, Vol. 17(6), art. no. 04016134, pp. 1 - 13, 2017. DOI: 10.1061/(ASCE)GM.1943-5622.0000808
dc.relation.references[41] X. Li, K. Yang and X. Wang, "Experimental and numerical analysis of the effect of vortex generator height on vortex characteristics and airfoil aerodynamic performance", Energies, Vol. 12(5), p. 959, 2019. https://doi.org/10.3390/en12050959
dc.relation.references[42] M. Manolesos and S.G. Voutsinas, "Experimental investigation of the flow past passive vortex generators on an airfoil experiencing three-dimensional separation", J. Wind Eng. Ind. Aerod., Vol. 142, pp. 130-148, 2015. https://doi.org/10.1016/j.jweia.2015.03.020
dc.relation.references[43] H. Mueller-Vahl, G. Pechlivanoglou, C.N. Nayeri and C.O. Paschereit,. "Vortex Generators for Wind Turbine Blades: A Combined Wind Tunnel and Wind Turbine Parametric Study", Proceedings of the ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. Volume 6: Oil and Gas Applications; Concentrating Solar Power Plants; Steam Turbines; Wind Energy, Copenhagen, Denmark. June 11-15, pp. 899-914, 2012. https://doi.org/10.1115/GT2012-69197
dc.relation.references[44] C.M. Velte, "Vortex generator flow model based on self-similarity", AIAA Journal, Vol. 51(2), pp. 526-529, 2013. DOI: 10.2514/1.J051865
dc.relation.references[45] B.J. Wendt, "Parametric study of vortices shed from airfoil vortex generators", AIAA J., Vol. 42(11), pp. 2185-2195, 2004. https://doi.org/10.2514/1.3672
dc.relation.references[46] S Huang, J. Wang, L. Hou and Y. Wang, "Numerical study on a novel flapping-foil energy harvester with 2D vortex generator", Ocean Engineering, Vol. 266(2), p. 112415, 2022, https://doi.org/10.1016/j.oceaneng.2022.112415.
dc.relation.references[47] A. Aboelezz, H. Ghali, G. Elbayomi and M. Madboli, "A novel VAWT passive flow control numerical and experimental investigations: Guided Vane Airfoil Wind Turbine", Ocean Engineering, Vol. 257, p. 111704, 2022, https://doi.org/10.1016/j.oceaneng.2022.111704.
dc.relation.references[48] U. Fernandez-Gamiz, E. Zulueta, A. Boyano, I. Ansoategui and I. Uriarte, "Five megawatt wind turbine power output improvements by passive flow control devices", Energies, Vol. 10(6), p. 742, 2017. https://doi.org/10.3390/en10060742
dc.relation.references[49] N.-C. Oltmann, D. Sobotta and A. Hoffmann, "Load reduction of wind turbines using trailing edge flaps", Energy Proc., Vol. 136, pp. 176-181, 2017. https://doi.org/10.1016/j.egypro.2017.10.316
dc.relation.references[50] Z. Ni, M. Dhanak and T.-C. Su, "Improved performance of a slotted blade using a novel slot design", Journal of Wind Engineering and Industrial Aerodynamics, Vol. 189, pp. 34-44, 2019. https://doi.org/10.1016/j.jweia.2019.03.018.
dc.relation.references[51] Z. Ni, M. Dhanak and T.-C. Su, "Performance of a slotted hydrofoil operating close to a free surface over a range of angles of attack", Ocean Engineering, Vol. 188, p. 106296, 2019. https://doi.org/10.1016/j.oceaneng.2019.106296.
dc.relation.references[52] N. B. Bakhtiari, A. Gharehghani, Z.S. Shojae and V. Egan, "Effect of optimal slot location on the performance of cascades of blades", Proceedings of the Institution of Mechanical Engineers, Part G., Vol. 235(15), pp. 2208-2224, 2021. DOI:10.1177/0954410021993698
dc.relation.references[53] S. Roy, B. Das and A. Biswas, "Effect of leading-edge protrusion shapes for passive flow control measure on wind turbine blades", Ocean. Eng., Vol. 269, p. 113688, 2023. https://doi.org/10.1016/j.oceaneng.2023.113688
dc.relation.references[54] D. Baldacchino, C. Ferreira, D. De Tavernier, W.A. Timmer and G.J.W. van Bussel, "Experimental parameter study for passive vortex generators on a 30% thick airfoil", Wind Energy, Vol. 21, pp. 745-765, 2018. https://doi.org/10.1002/we.2191
dc.relation.references[55] J. Hu, R. Wang, F. Li and T. Pan, "Experimental assessment of a new combined flow control approach in compressor cascade", Experimental Thermal and Fluid Science, Vol. 97, pp. 313-323, 2018, https://doi.org/10.1016/j.expthermflusci.2018.04.029.
dc.relation.references[56] W.A. Timmer and R.P.J.O.M. van Rooij, "Summary of the Delft University wind turbine dedicated airfoils", Journal of Solar Energy Engineering, Vol. 125(4), pp. 488-496, 2003. DOI: 10.1115/1.1626129
dc.relation.references[57] M. Z. Akhter and F.K. Omar, "Review of flow-control devices for wind-turbine performance enhancement", Energies, Vol. 14(5), p. 1268, 2021. https://doi.org/10.3390/en14051268
dc.relation.references[58] O. Lanets and T. Dmytriv, "Mathematicalmodel of the boundary layer ofairflowover a flat surface", Ukrainian Journal of Mechanical Engineering and Materials Science, Vol. 11(1), pp. 28-36, 2025. https://doi.org/10.23939/ujmems2025.01.028
dc.relation.references[59] T.V. Dmytriv, M.M. Mykyychuk, V.T. Dmytriv, "Analytical model of dynamic boundary layer on the surface under laminar flow mode", Machinery and Energetics, Vol. 12(3), pp. 93-98, 2021. DOI: 10.31548/machenergy2021.03.093
dc.relation.referencesen[1] I. Jacobi and B. J. McKeon, "Dynamic roughness perturbation of a turbulent boundary layer", Journal of Fluid Mechanics, Vol. 688, pp. 258-296, 2011.
dc.relation.referencesen[2] S. Duvvuri and B.J. McKeon, "Phase relationships in presence of a synthetic large-scale in a turbulent boundary layer", 44th AIAA Fluid Dynamics Conference, AIAA Aviation, p. 2883, 2014.
dc.relation.referencesen[3] H. S. Dou and B. C. Khoo, "Mechanism of wall turbulence in boundary layer flow", Modern Physics Letters B, Vol. 23(3), pp. 457−460, 2009.
dc.relation.referencesen[4] R. Wahidi, W. Chakroun and S. Al-Fahed, "The behavior of the skin-friction coefficient of a turbulent boundary layer flow over a flat plate with differently configured transverse square grooves", Experimental Thermal and Fluid Science, Vol. 30, pp. 141-152, 2005.
dc.relation.referencesen[5] R.D. Joslin, "Aircraft laminar flow control", Annual Review of Fluid Mechanics, Vol. 30(1), pp. 1-19.
dc.relation.referencesen[6] G.H. Schrauf and K.H. Horstmann, "Simplified hebrid laminar flow control", European Congress on Computational Methods in Applied Sciences and Engineering, Jyvaskyla, Finland, p.27, 2004.
dc.relation.referencesen[7] J.R. Roth, D. Sherman and S.P. Wilkinson, "Boundary layer flow control with one atmosphere uniform glow discharge surface plasma", 36th ASAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 29, 1998.
dc.relation.referencesen[8] J.R. Roth and X. Dai, "Optimization of the aerodynamic plasma actuator as an electrohydrodynamic (END) electrical device", 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 29, 31, 41-45, 2006.
dc.relation.referencesen[9] T.C. Corke, C.L. Enloe and S.P. Wilkinson, "Dielectric barrier discharge plasma actuator for flow control", Annual Review of Fluid Mechanics, Vol. 42, pp. 505-529, 2010.
dc.relation.referencesen[10] Y.C. Cho, B. Jayaraman, F. Viana, R. Haftka and W. Shyy, "Surrogate modeling for characteriszing the performance of dielectric barrier discharge plasma actuator", 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 1381, 2008.
dc.relation.referencesen[11] T.S. Abe, S. Sato and N. Kimura, "A parametric experimental study for momentum transfer by plasma actuator", 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 0187, 2007.
dc.relation.referencesen[12] G.I. Font, "Boundary layer control with atmospheric plasma discharges", 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Fort Lauderdale, FL, p. 3574, 2004.
dc.relation.referencesen[13] M. Forte, J. Jolibois, J. Pons, E. Moreau, G. Touchard and M. Cazalens, "Optimization of a dielectric barrier discharge actuator by stationary and non-stationary measurements of the induced flow velocity: application to airflow control", Experimental Fluids, Vol. 43(6), pp. 917-928, 2007.
dc.relation.referencesen[14] J.R. Roth, Industrial plasma engineering; Vol. 2 - Applications to non-thermal plasma processing, USA: Institute of Physics Publishing (cit. on p. 31), 2001.
dc.relation.referencesen[15] R. Van Dyken, T.E. McLaughlin and C.L. Enloe, "Parametric investigations of a single dielectric barrier plasma actuator", 42th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, p. 0846, 2004.
dc.relation.referencesen[16] V.I. Kornilov, "Current state and prospects of researches on the control of turbulent boundary layer by air blowing", Prog. Aerosp. Sci., Vol. 76, pp. 1-23, 2015.
dc.relation.referencesen[17] J. Tiainen, A. Grönman, A. Jaatinen-Värri, and J. Backman, "Flow control methods and their applicability in low-reynolds-number centrifugal compressors - A Review", International Journal of Turbomachinery, Propulsion and Power, Vol. 3(1), p. 2, 2018. https://doi.org/10.3390/ijtpp3010002
dc.relation.referencesen[18] M. Amitay and S. Gildersleeve, "Virtual and physical surface modifications as means for flow control", AIAA Journal, Vol. 57(1), pp. 53-71, 2019. DOU: 10.2514/1.J056521
dc.relation.referencesen[19] L. Zhang, X. Shan and T. Xie, "Active Control for Wall Drag Reduction: Methods, Mechanisms and Performance", IEEE Access, Vol. 8, pp. 7039-7057, 2020, doi: 10.1109/ACCESS.2020.2963843
dc.relation.referencesen[20] P. Ricco, M. Skote and M. A. Leschziner, "A review of turbulent skin-friction drag reduction by near-wall transverse forcing", Progress in Aerospace Sciences, Vol. 123, p. 100713, 2021, https://doi.org/10.1016/j.paerosci.2021.100713
dc.relation.referencesen[21] J. Jimegnez, "Turbulent flows over rough walls", Annual Review of Fluid Mechanics, Vol 36, pp. 173-196, 2004, https://doi.org/10.1146/annurev.fluid.36.050802.122103
dc.relation.referencesen[22] J.P. Bons, "A review of surface roughness effects in gas turbines", J. Turbomach., Vol. 132(2), p. 021004, 2010. https://doi.org/10.1115/1.3066315
dc.relation.referencesen[23] M. A. Oliveira, d., P. G. Moraes, d., C. L. Andrade, d., A. M. Bimbato and L. A. Alcântara Pereira, "Control and Suppression of Vortex Shedding from a Slightly Rough Circular Cylinder by a Discrete Vortex Method", Energies, Vol. 13(17), p. 4481, 2020. https://doi.org/10.3390/en13174481
dc.relation.referencesen[24] Y.M. Chung and T. Talha, "Effectiveness of active flow control for turbulent skin friction drag reduction", Physics of Fluids, Vol. 23(2), p. 025102, 2011. https://doi.org/10.1063/1.3553278
dc.relation.referencesen[25] A. Seifert, S. Eliahu, D. Greenblatt and I. Wygnanski, "Use of piezoelectric actuators for airfoil separation control", AIAA J., Vol. 36(8), pp. 1535-1537, 1998. https://doi.org/10.2514/2.549
dc.relation.referencesen[26] S. Kang and H. Choi, "Active wall motions for skin-friction drag reduction", Phys. Fluids, Vol. 12(12), pp. 3301-3304, 2000. https://doi.org/10.1063/1.1320833
dc.relation.referencesen[27] S.C. Schlanderer, N. Hutchins and R.D. Sandberg, "The effect of wall normal actuation on a turbulent boundary layer", Flow, Turbul. Combust., Vol. 99, pp. 807-821, 2017. https://doi.org/10.1007/s10494-017-9868-0
dc.relation.referencesen[28] M. Albers, P.S. Meysonnat, D. Fernex, R. Semaan, B.R. Noack and W. Schröder, "Drag Reduction and energy saving by spanwise traveling transversal surface waves for flat plate flow", Flow, Turbul. Combust., Vol. 105, pp. 125-157, 2020. https://doi.org/10.1007/s10494-020-00110-8
dc.relation.referencesen[29] F.J. Arias, "Ferrofluid moving thin films for active flow control", Chinese Journal of Aeronautics, Vol. 34(5), pp. 115-119, 2021. https://doi.org/10.1016/j.cja.2020.11.008
dc.relation.referencesen[30] J.C. Lin, "Review of research on low-profile vortex generators to control boundary-layer separation", Prog. Aero. Sci. Vol.38 (4-5), pp. 389-420, 2002. https://doi.org/10.1016/S0376-0421(02)00010-6
dc.relation.referencesen[31] Z. Zhao, R. Jiang, J. Feng, H. Liu, T. Wang, W. Shen, M. Chen, D. Wang and Y. Liu, "Researches on vortex generators applied to wind turbines: A review", Ocean Engineering, Vol. 253, p. 111266, 2022, https://doi.org/10.1016/j.oceaneng.2022.111266.
dc.relation.referencesen[32] W. Chen and X. Sun, "A comparative study of the influences of leading-edge suction and blowing on the aerodynamic performance of a horizontal-Axis wind turbine", J. Energy. Eng., Vol. 149 (1), p. 04022051, 2023.
dc.relation.referencesen[33] D. Berg, S.J. Johnson and C.P. van Dam, Active Load Control Techniques for Wind Turbines. Prepared by Sandia National Laboratories, Albuquerque, New Mexico, 2008.
dc.relation.referencesen[34] K. Yousefi, S.R. Saleh and P. Zahedi, "Numerical investigation of suction and length of suction jet on aerodynamic characteristics of the NACA 0012 airfoil", International Journal of Materials, Mechanics and Manufacturing, Vol. 1(2), pp. 136-142, 2013.
dc.relation.referencesen[35] G. Li, Z. Weiguo, J. Yubiao and Y. Pengyu, "Experimental investigation of dynamic stall flow control for wind turbine airfoils using a plasma actuator", Energy, Vol. 185, pp. 90-101, 2019, https://doi.org/10.1016/j.energy.2019.07.017.
dc.relation.referencesen[36] M. Mohammadi and M.J. Maghrebi, "Improvement of wind turbine aerodynamic performance by vanquishing stall with active multi air jet blowing", Energy, Vol. 224, p. 120176, 2021. https://doi.org/10.1016/j.energy.2021.120176
dc.relation.referencesen[37] S. Hoseinzadeh, A. Sohani and S. Heyns, "Comprehensive analysis of the effect of air injection on the wake development of an airfoil", Ocean. Eng., Vol. 220, p. 108455, 2021. https://doi.org/10.1016/j.oceaneng.2020.108455
dc.relation.referencesen[38] M. Ja'fari, A.J. Jaworski and A. Rona, "Application of synthetic jet arrays for flow separation control on a circular "hump" model", Experimental Thermal and Fluid Science, Vol. 131, p. 110543, 2022. https://doi.org/10.1016/j.expthermflusci.2021.110543.
dc.relation.referencesen[39] M. Ja'fari, A.J. Jaworski and A. Rona, "Numerical study of flow separation control over a circular hump using synthetic jet actuators", AIP Adv., Vol. 12(9), p. 095205, 2022. DOI: 10.1063/5.0099926
dc.relation.referencesen[40] J.-L. Hu, X.-W. Tang and J.-N. Qiu, "Analysis of the influences of sampling bias and class imbalance on performances of probabilistic liquefaction models", International Journal of Geomechanics, Vol. 17(6), art. no. 04016134, pp. 1 - 13, 2017. DOI: 10.1061/(ASCE)GM.1943-5622.0000808
dc.relation.referencesen[41] X. Li, K. Yang and X. Wang, "Experimental and numerical analysis of the effect of vortex generator height on vortex characteristics and airfoil aerodynamic performance", Energies, Vol. 12(5), p. 959, 2019. https://doi.org/10.3390/en12050959
dc.relation.referencesen[42] M. Manolesos and S.G. Voutsinas, "Experimental investigation of the flow past passive vortex generators on an airfoil experiencing three-dimensional separation", J. Wind Eng. Ind. Aerod., Vol. 142, pp. 130-148, 2015. https://doi.org/10.1016/j.jweia.2015.03.020
dc.relation.referencesen[43] H. Mueller-Vahl, G. Pechlivanoglou, C.N. Nayeri and C.O. Paschereit,. "Vortex Generators for Wind Turbine Blades: A Combined Wind Tunnel and Wind Turbine Parametric Study", Proceedings of the ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. Volume 6: Oil and Gas Applications; Concentrating Solar Power Plants; Steam Turbines; Wind Energy, Copenhagen, Denmark. June 11-15, pp. 899-914, 2012. https://doi.org/10.1115/GT2012-69197
dc.relation.referencesen[44] C.M. Velte, "Vortex generator flow model based on self-similarity", AIAA Journal, Vol. 51(2), pp. 526-529, 2013. DOI: 10.2514/1.J051865
dc.relation.referencesen[45] B.J. Wendt, "Parametric study of vortices shed from airfoil vortex generators", AIAA J., Vol. 42(11), pp. 2185-2195, 2004. https://doi.org/10.2514/1.3672
dc.relation.referencesen[46] S Huang, J. Wang, L. Hou and Y. Wang, "Numerical study on a novel flapping-foil energy harvester with 2D vortex generator", Ocean Engineering, Vol. 266(2), p. 112415, 2022, https://doi.org/10.1016/j.oceaneng.2022.112415.
dc.relation.referencesen[47] A. Aboelezz, H. Ghali, G. Elbayomi and M. Madboli, "A novel VAWT passive flow control numerical and experimental investigations: Guided Vane Airfoil Wind Turbine", Ocean Engineering, Vol. 257, p. 111704, 2022, https://doi.org/10.1016/j.oceaneng.2022.111704.
dc.relation.referencesen[48] U. Fernandez-Gamiz, E. Zulueta, A. Boyano, I. Ansoategui and I. Uriarte, "Five megawatt wind turbine power output improvements by passive flow control devices", Energies, Vol. 10(6), p. 742, 2017. https://doi.org/10.3390/en10060742
dc.relation.referencesen[49] N.-C. Oltmann, D. Sobotta and A. Hoffmann, "Load reduction of wind turbines using trailing edge flaps", Energy Proc., Vol. 136, pp. 176-181, 2017. https://doi.org/10.1016/j.egypro.2017.10.316
dc.relation.referencesen[50] Z. Ni, M. Dhanak and T.-C. Su, "Improved performance of a slotted blade using a novel slot design", Journal of Wind Engineering and Industrial Aerodynamics, Vol. 189, pp. 34-44, 2019. https://doi.org/10.1016/j.jweia.2019.03.018.
dc.relation.referencesen[51] Z. Ni, M. Dhanak and T.-C. Su, "Performance of a slotted hydrofoil operating close to a free surface over a range of angles of attack", Ocean Engineering, Vol. 188, p. 106296, 2019. https://doi.org/10.1016/j.oceaneng.2019.106296.
dc.relation.referencesen[52] N. B. Bakhtiari, A. Gharehghani, Z.S. Shojae and V. Egan, "Effect of optimal slot location on the performance of cascades of blades", Proceedings of the Institution of Mechanical Engineers, Part G., Vol. 235(15), pp. 2208-2224, 2021. DOI:10.1177/0954410021993698
dc.relation.referencesen[53] S. Roy, B. Das and A. Biswas, "Effect of leading-edge protrusion shapes for passive flow control measure on wind turbine blades", Ocean. Eng., Vol. 269, p. 113688, 2023. https://doi.org/10.1016/j.oceaneng.2023.113688
dc.relation.referencesen[54] D. Baldacchino, C. Ferreira, D. De Tavernier, W.A. Timmer and G.J.W. van Bussel, "Experimental parameter study for passive vortex generators on a 30% thick airfoil", Wind Energy, Vol. 21, pp. 745-765, 2018. https://doi.org/10.1002/we.2191
dc.relation.referencesen[55] J. Hu, R. Wang, F. Li and T. Pan, "Experimental assessment of a new combined flow control approach in compressor cascade", Experimental Thermal and Fluid Science, Vol. 97, pp. 313-323, 2018, https://doi.org/10.1016/j.expthermflusci.2018.04.029.
dc.relation.referencesen[56] W.A. Timmer and R.P.J.O.M. van Rooij, "Summary of the Delft University wind turbine dedicated airfoils", Journal of Solar Energy Engineering, Vol. 125(4), pp. 488-496, 2003. DOI: 10.1115/1.1626129
dc.relation.referencesen[57] M. Z. Akhter and F.K. Omar, "Review of flow-control devices for wind-turbine performance enhancement", Energies, Vol. 14(5), p. 1268, 2021. https://doi.org/10.3390/en14051268
dc.relation.referencesen[58] O. Lanets and T. Dmytriv, "Mathematicalmodel of the boundary layer ofairflowover a flat surface", Ukrainian Journal of Mechanical Engineering and Materials Science, Vol. 11(1), pp. 28-36, 2025. https://doi.org/10.23939/ujmems2025.01.028
dc.relation.referencesen[59] T.V. Dmytriv, M.M. Mykyychuk, V.T. Dmytriv, "Analytical model of dynamic boundary layer on the surface under laminar flow mode", Machinery and Energetics, Vol. 12(3), pp. 93-98, 2021. DOI: 10.31548/machenergy2021.03.093
dc.relation.urihttps://doi.org/10.3390/ijtpp3010002
dc.relation.urihttps://doi.org/10.1016/j.paerosci.2021.100713
dc.relation.urihttps://doi.org/10.1146/annurev.fluid.36.050802.122103
dc.relation.urihttps://doi.org/10.1115/1.3066315
dc.relation.urihttps://doi.org/10.3390/en13174481
dc.relation.urihttps://doi.org/10.1063/1.3553278
dc.relation.urihttps://doi.org/10.2514/2.549
dc.relation.urihttps://doi.org/10.1063/1.1320833
dc.relation.urihttps://doi.org/10.1007/s10494-017-9868-0
dc.relation.urihttps://doi.org/10.1007/s10494-020-00110-8
dc.relation.urihttps://doi.org/10.1016/j.cja.2020.11.008
dc.relation.urihttps://doi.org/10.1016/S0376-0421(02)00010-6
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2022.111266
dc.relation.urihttps://doi.org/10.1016/j.energy.2019.07.017
dc.relation.urihttps://doi.org/10.1016/j.energy.2021.120176
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2020.108455
dc.relation.urihttps://doi.org/10.1016/j.expthermflusci.2021.110543
dc.relation.urihttps://doi.org/10.3390/en12050959
dc.relation.urihttps://doi.org/10.1016/j.jweia.2015.03.020
dc.relation.urihttps://doi.org/10.1115/GT2012-69197
dc.relation.urihttps://doi.org/10.2514/1.3672
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2022.112415
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2022.111704
dc.relation.urihttps://doi.org/10.3390/en10060742
dc.relation.urihttps://doi.org/10.1016/j.egypro.2017.10.316
dc.relation.urihttps://doi.org/10.1016/j.jweia.2019.03.018
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2019.106296
dc.relation.urihttps://doi.org/10.1016/j.oceaneng.2023.113688
dc.relation.urihttps://doi.org/10.1002/we.2191
dc.relation.urihttps://doi.org/10.1016/j.expthermflusci.2018.04.029
dc.relation.urihttps://doi.org/10.3390/en14051268
dc.relation.urihttps://doi.org/10.23939/ujmems2025.01.028
dc.rights.holder© Національний університет “Львівська політехніка”, 2025
dc.rights.holder© Dmytriv T., 2025
dc.subjectstress
dc.subjectReynolds number
dc.subjectflat plate
dc.subjectoscillations
dc.subjectvelocity
dc.subjectboundary layer
dc.subjectMach number
dc.subjectviscosity
dc.subjectdimensionless number
dc.titleModeling of velocity and stress on a flat surface subjected to airflow in interaction with oscillation energy
dc.typeArticle

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
2025v11n2_Dmytriv_T-Modeling_of_velocity_and_70-81.pdf
Size:
593.2 KB
Format:
Adobe Portable Document Format
Download
Thumbnail Image
Name:
2025v11n2_Dmytriv_T-Modeling_of_velocity_and_70-81__COVER.png
Size:
1.19 MB
Format:
Portable Network Graphics
Download

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.74 KB
Format:
Plain Text
Description:
Download

Collections

Ukrainian Journal of Mechanical Engineering and Materials Science. – 2025. – Vol. 11, No. 2