ntvНаучно-технический вестник информационных технологий, механики и оптикиScientific and Technical Journal of Information Technologies, Mechanics and Optics2226-14942500-0373Университет ИТМО10.17586/2226-1494-2023-23-6-1223-1232ntv-57Research ArticleМАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕMODELING AND SIMULATIONКонвективный теплообмен и гидродинамика течения у торцевой стенки лопатки турбины под действием магнитного поляConvective heat transfer and hydrodynamics of flow at the endwall around a turbine blade under the influence of a magnetic fieldhttps://orcid.org/0000-0003-1832-3759АрджунК. С.ArjunK. S.

Арджун Кожиккатил Сунил — PhD, докторант

Кочи, 682022

sc 57205762026

Kozhikkatil Sunil Arjun — PhD, Post Doctoral Fellow

Kochi, 682022

sc 57205762026

 

arjunks@cusat.ac.inhttps://orcid.org/0000-0002-8061-113XТайдП. С.TideP. S.

Тайд Поратур Санни — PhD, профессор

Кочи, 682022

sc 57216868077

Porathoor Sunny Tide — PhD, Professor

Kochi, 682022

sc 57216868077

tideps@cusat.ac.inОтделение машиностроения, инженерная школа, Кочинский университет науки и технологийИндияDivision of Mechanical Engineering, School of Engineering, Cochin University of Science and TechnologyIndia20231112202423612231232Copyright © Арджун К.С., Тайд П.С., 20242024Арджун К.С., Тайд П.С.Arjun K.S., Tide P.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ntv.elpub.ru/jour/article/view/57

Выполнен анализ влияния магнитогидродинамики на теплообмен на торцевых стенках лопаток турбины с использованием компьютерного моделирования. При моделировании учтена трехмерная геометрия лопатки турбины, напряженность магнитного поля и граничные условия. Результат моделирования показал, что существование магнитного поля может значительно повысить эффективность пленочного охлаждения в среднем на шаг и теплообмен на торцевой стенке, особенно вблизи краев лопатки турбины с оптимальным магнитным полем. Это приводит к более равномерному распределению теплопередачи вдоль торцевой стенки и может помочь уменьшить количество горячих точек и предотвратить термическое повреждение края лопатки турбины. Исследование показало необходимость учета напряженности магнитного поля и его влияние на характеристики потока и теплопередачу при проектировании лопаток турбин для высокоскоростных применений. Оптимизируя конструкцию лопаток турбины с учетом магнитогидродинамического эффекта, инженеры могут улучшить общую производительность и срок службы этих критически важных компонентов. Численное моделирование применено для эффективного прогнозирования последствий контурирования торцевых стенок с использованием коэффициента вторичной кинетической энергии в качестве окончательного параметра, полученного в результате выполненного анализа. Показано снижение тепловой нагрузки на торцевую стенку лопасти турбины с уменьшением чистого теплового потока и улучшение аэродинамических характеристик торцевой стенки с неосесимметричным контуром, подвергнутой воздействию магнитного поля оптимальной напряженности. В работе продемонстрировано влияние вихрей на теплообмен торца относительно лопатки под воздействием магнитогидродинамики для снижения массы и стоимости газотурбинного двигателя.

The present study analyses the influence of magnetohydrodynamics on endwall heat transfer in turbine blades using computational fluid dynamics simulations. The simulations consider the three-dimensional geometry of the turbine blade, the magnetic intensity, and the boundary conditions. The outcome revealed the existence of a magnetic field can outstandingly increase the pitch-averaged film cooling effectiveness and endwall heat transfer, particularly near the edges of the turbine vane with an optimal magnetic field. This results in a more uniform distribution of heat transfer along the endwall and can help to reduce hot spots and prevent thermal damage to the blade. The research also highlights the importance of considering the magnetic intensity and its impact on the flow characteristics and heat transfer when designing turbine blades for high-speed applications. By optimizing the design of the turbine blades to take into account the magnetohydrodynamic effect, engineers can improve the overall performance and lifespan of these critical components. Numerical simulations had been utilized to forecast the impacts of contouring of endwalls efficiently, employing the secondary kinetic energy coefficient as the accomplished parameter demonstrated in the current investigation. A reduction in endwall heat load with enhanced net heat flux reduction and aerodynamic performance is reported for a non-axisymmetrically contoured endwall subjected to optimal magnetic field strength. The novelty of the present study is the establishment of the impact of vortices on endwall heat transfer with respect to the vane under the influence of magnetohydrodynamics to reduce the weight and cost of a turbine engine.

неосесимметричное контурированиемагнитогидродинамикауменьшение чистого теплового потокааэродинамические характеристикивторичная кинетическая энергияnon-axisymmetric contouringmagnetohydrodynamicsnet heat flux reductionaerodynamic performancesecondary kinetic energyReferencesArjun K.S., Tide P.S., Biju N. Optimum profiles of endwall contouring for enhanced net heat flux reduction and aerodynamic performance // Journal of Harbin Institute of Technology (New Series). 2023. in press. https://doi.org/10.11916/j.issn.1005-9113.2023037Arjun K.S., Tide P.S., Biju N. Optimum profiles of endwall contouring for enhanced net heat flux reduction and aerodynamic performance. Journal of Harbin Institute of Technology (New Series), 2023, in press. https://doi.org/10.11916/j.issn.1005-9113.2023037Krishna M.V., Ahamad N.A., Chamkha A.J. Numerical investigation on unsteady MHD convective rotating flow past an infinite vertical moving porous surface // Ain Shams Engineering Journal. 2021. V. 12. N 2. P. 2099–2109. https://doi.org/10.1016/j.asej.2020.10.013Krishna M.V., Ahamad N.A., Chamkha A.J. Numerical investigation on unsteady MHD convective rotating flow past an infinite vertical moving porous surface. Ain Shams Engineering Journal, 2021, vol. 12, no. 2, pp. 2099–2109. https://doi.org/10.1016/j.asej.2020.10.013Xenos M., Dimas S., Kafoussias N. MHD compressible turbulent boundary-layer flow with adverse pressure gradient // Acta Mechanica. 2005. V. 177. P. 171–190. https://doi.org/10.1007/s00707-005-0221-7Xenos M., Dimas S., Kafoussias N. MHD compressible turbulent boundary-layer flow with adverse pressure gradient. Acta Mechanica, 2005, vol. 177, pp. 171–190. https://doi.org/10.1007/s00707-005-0221-7Jaafar A., Waini I., Jamaludin A., Nazar R., Pop I. MHD flow and heat transfer of a hybrid nanofluid past a nonlinear surface stretching/ shrinking with effects of thermal radiation and suction // Chinese Journal of Physics. 2022. V. 79. P. 13–27. https://doi.org/10.1016/j.cjph.2022.06.026Jaafar A., Waini I., Jamaludin A., Nazar R., Pop I. MHD flow and heat transfer of a hybrid nanofluid past a nonlinear surface stretching/ shrinking with effects of thermal radiation and suction. Chinese Journal of Physics, 2022, vol. 79, pp. 13–27. https://doi.org/10.1016/j.cjph.2022.06.026Ali A., Kanwal T., Awais M., Shah Z., Kumam P., Thounthong P. Impact of thermal radiation and non-uniform heat flux on MHD hybrid nanofluid along a stretching cylinder // Scientific Reports. 2021. V. 11. P. 20262. https://doi.org/10.1038/s41598-021-99800-0Ali A., Kanwal T., Awais M., Shah Z., Kumam P., Thounthong P. Impact of thermal radiation and non-uniform heat flux on MHD hybrid nanofluid along a stretching cylinder. Scientific Reports, 2021, vol. 11, pp. 20262. https://doi.org/10.1038/s41598-021-99800-0Mobadersani F., Rezavand A. MHD effect on nanofluid flow and heat transfer in backward-facing step using two-phase model // AUT Journal of Mechanical Engineering. 2020. V. 4. N 1. P. 51–66. https:// doi.org/10.22060/AJME.2019.14843.5747Mobadersani F., Rezavand A. MHD effect on nanofluid flow and heat transfer in backward-facing step using two-phase model. AUT Journal of Mechanical Engineering, 2020, vol. 4, no. 1, pp. 51–66. https://doi.org/10.22060/AJME.2019.14843.5747Loganayagi V., Kameswaran P.K. Magnetohydrodynamic and heat transfer impacts on ferrofluid over a rotating disk: An application to hard disk drives // Journal of Thermal Science and Engineering Applications. 2021. V. 13. N 1. P. 011001. https://doi.org/10.1115/1.4047007Loganayagi V., Kameswaran P.K. Magnetohydrodynamic and heat transfer impacts on ferrofluid over a rotating disk: An application to hard disk drives. Journal of Thermal Science and Engineering Applications, 2021, vol. 13, no. 1, pp. 011001. https://doi.org/10.1115/1.4047007Nourbakhsh A., Mombeni H., Bayareh M. Effects of radiation and magnetohydrodynamics on heat transfer of nanofluid flow over a plate // SN Applied Sciences. 2019. V. 1. P. 1581. https://doi.org/10.1007/s42452-019-1634-6Nourbakhsh A., Mombeni H., Bayareh M. Effects of radiation and magnetohydrodynamics on heat transfer of nanofluid flow over a plate. SN Applied Sciences, 2019, vol. 1, pp. 1581. https://doi.org/10.1007/s42452-019-1634-6Ellahi R., Alamri S.Z., Basit A., Majeed A. Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation // Journal of Taibah University for Science. 2018. V. 12. N 4. P. 476–482. https://doi.org/10.1080/16583655.2018.1483795Ellahi R., Alamri S.Z., Basit A., Majeed A. Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation. Journal of Taibah University for Science, 2018, vol. 12, no. 4, pp. 476–482. https://doi.org/10.1080/16583655.2018.1483795Ullah H., Hayat T., Ahmad S., Alhodaly M.S., Momani S. Numerical simulation of MHD hybrid nanofluid flow by a stretchable surface // Chinese Journal of Physics. 2021. V. 71. P. 597–609. https://doi.org/10.1016/j.cjph.2021.03.017Ullah H., Hayat T., Ahmad S., Alhodaly M.S., Momani S. Numerical simulation of MHD hybrid nanofluid flow by a stretchable surface. Chinese Journal of Physics, 2021, vol. 71, pp. 597–609. https://doi.org/10.1016/j.cjph.2021.03.017Jusoh R., Nazar R., Pop I. Magnetohydrodynamic boundary layer flow and heat transfer of nanofluids past a bidirectional exponential permeable stretching/shrinking sheet with viscous dissipation effect // ASME Journal of Heat and Mass Transfer. 2019. V. 141. N 1. P. 012406. https://doi.org/10.1115/1.4041800Jusoh R., Nazar R., Pop I. Magnetohydrodynamic boundary layer flow and heat transfer of nanofluids past a bidirectional exponential permeable stretching/shrinking sheet with viscous dissipation effect. ASME Journal of Heat and Mass Transfer, 2019, vol. 141, no. 1, pp. 012406. https://doi.org/10.1115/1.4041800Yıldız F., Alpman E., Kavurmacioglu L., Camci C. An Artificial Neural Network (ANN) based aerothermal optimization of film cooling hole locations on the squealer tip of an HP turbine blade: preprint // SSRN Electronic Journal. 2022. https://doi.org/10.2139/ssrn.4117325Yıldız F., Alpman E., Kavurmacioglu L., Camci C. An Artificial Neural Network (ANN) based aerothermal optimization of film cooling hole locations on the squealer tip of an HP turbine blade: preprint. SSRN Electronic Journal, 2022. https://doi.org/10.2139/ssrn.4117325Alam T., Kim M-H. A comprehensive review on single phase heat transfer enhancement techniques in heat exchanger applications // Renewable and Sustainable Energy Reviews. 2018. V. 81. P. 813–839. https://doi.org/10.1016/j.rser.2017.08.060Alam T., Kim M-H. A comprehensive review on single phase heat transfer enhancement techniques in heat exchanger applications. Renewable and Sustainable Energy Reviews, 2018, vol. 81, pp. 813– 839. https://doi.org/10.1016/j.rser.2017.08.060Malvandi A. Film boiling of magnetic nanofluids (MNFs) over a vertical plate in presence of a uniform variable-directional magnetic field // Journal of Magnetism and Magnetic Materials. 2016. V. 406. P. 95–102. https://doi.org/10.1016/j.jmmm.2016.01.008Malvandi A. Film boiling of magnetic nanofluids (MNFs) over a vertical plate in presence of a uniform variable-directional magnetic field. Journal of Magnetism and Magnetic Materials, 2016, vol. 406, pp. 95–102. https://doi.org/10.1016/j.jmmm.2016.01.008Inverse Heat Conduction and Heat Exchangers / ed. by S. Bhattacharyya, R. Mehta, M.M. Ardekani, R. Biswas. London, UK, IntechOpen Ltd., 2020. http://dx.doi.org/10.5772/intechopen.80096Inverse Heat Conduction and Heat Exchangers. ed. by S. Bhattacharyya, R. Mehta, M.M. Ardekani, R. Biswas. London, UK, IntechOpen Ltd., 2020. http://dx.doi.org./10.5772/intechopen.80096Mahfoud B. Simulation of magnetic field effect on heat transfer enhancement of swirling nanofluid // International Journal of Computational Materials Science and Engineering. 2022. V. 11. N 4. P. 2250007. https://doi.org/10.1142/S2047684122500075Mahfoud B. Simulation of magnetic field effect on heat transfer enhancement of swirling nanofluid. International Journal of Computational Materials Science and Engineering, 2022, vol. 11, no. 4, pp. 2250007. https://doi.org/10.1142/S2047684122500075Arjun K.S., Tide P.S., Biju N. Turbine passage secondary flow dynamics and endwall heat transfer under different inflow turbulence // Journal of Harbin Institute of Technology (New Series). 2023. in press. https://doi.org/10.11916/j.issn.1005-9113.2023042Arjun K.S., Tide P.S., Biju N. Turbine passage secondary flow dynamics and endwall heat transfer under different inflow turbulence. Journal of Harbin Institute of Technology (New Series), 2023, in press. https://doi.org/10.11916/j.issn.1005-9113.2023042Tsujita H., Mizuki S., Yamamoto A. Numerical investigation of effects of incidence angle on aerodynamic performance of ultra-highly loaded turbine cascade // Proc. of the ASME Turbo Expo 2006: Power for Land, Sea, and Air, Turbomachinery, Parts A and B. Vol. 6. 2006. P. 839–849. https://doi.org/10.1115/GT2006-90939Tsujita H., Mizuki S., Yamamoto A. Numerical investigation of effects of incidence angle on aerodynamic performance of ultra-highly loaded turbine cascade. Proc. of the ASME Turbo Expo 2006: Power for Land, Sea, and Air, Turbomachinery, Parts A and B. Vol. 6, 2006, pp. 839–849. https://doi.org/10.1115/GT2006-90939Snedden G.C. The Application of Non-Axisymmetric Endwall Contouring in a 1½ Stage, Rotating Turbine: PhD thesis. Durham University, United Kingdom, 2011.Snedden G.C. The Application of Non-Axisymmetric Endwall Contouring in a 1½ Stage, Rotating Turbine: PhD thesis, Durham University, United Kingdom, 2011.Vázquez R., Fidalgo V.J. The effect of Reynolds and Mach number on end-wall profiling performance // Proc. of the ASME Turbo Expo 2010: Power for Land, Sea, and Air, Turbomachinery, Parts A, B, and C. Vol. 7. 2010. P. 1357–1368. https://doi.org/10.1115/GT2010-22765Vázquez R., Fidalgo V.J. The effect of Reynolds and Mach number on end-wall profiling performance. Proc. of the ASME Turbo Expo 2010: Power for Land, Sea, and Air, Turbomachinery, Parts A, B, and C. Vol. 7, 2010, pp. 1357–1368. https://doi.org/10.1115/GT2010- 22765Du K., Jia Y., Song H., Chen L., Zhang Q., Cui T., Liu C. Effect of slot jet flow on non-axisymmetric endwall cooling performance of high-load turbines // Machines. 2023. V. 11. N 2. P. 134. https://doi.org/10.3390/machines11020134Du K., Jia Y., Song H., Chen L., Zhang Q., Cui T., Liu C. Effect of slot jet flow on non-axisymmetric endwall cooling performance of high-load turbines. Machines, 2023, vol. 11, no. 2, pp. 134. https:// doi.org/10.3390/machines11020134Schäflein L., Janssen J., Brandies H., Jeschke P., Behre S. Influence of purge flow injection on the performance of an axial turbine with three-dimensional airfoils and non-axisymmetric endwall contouring // Journal of Turbomachinery. 2023. V. 145. N 6. P. 061004. https://doi.org/10.1115/1.4056238Schäflein L., Janssen J., Brandies H., Jeschke P., Behre S. Influence of purge flow injection on the performance of an axial turbine with three-dimensional airfoils and non-axisymmetric endwall contouring. Journal of Turbomachinery, 2023, vol. 145, no. 6, pp. 061004. https://doi.org/10.1115/1.4056238Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications // AIAA — Journal. 1994. V. 32. N 8. P. 1598–1605. https://doi.org/10.2514/3.12149Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA — Journal, 1994, vol. 32, no. 8, pp. 1598–1605. https://doi.org/10.2514/3.12149Menter F.R., Langtry R.B., Likki S.R., Suzen Y.B., Huang P.G., Völker S. A correlation-based transition model using local variables - Part I: Model formulation // Journal of Turbomachinery. 2006. V. 128. N 3. P. 413–422. https://doi.org/10.1115/1.2184352Menter F.R., Langtry R.B., Likki S.R., Suzen Y.B., Huang P.G., Völker S. A correlation-based transition model using local variables — Part I: Model formulation. Journal of Turbomachinery, 2006, vol. 128, no. 3, pp. 413–422. https://doi.org/10.1115/1.2184352Lynch S.P., Thole K.A. Heat transfer and film cooling on a contoured blade endwall with platform gap leakage // Journal of Turbomachinery. 2017. V. 139. N 5. P. 051002. https://doi.org/10.1115/1.4035202Lynch S.P., Thole K.A. Heat transfer and film cooling on a contoured blade endwall with platform gap leakage. Journal of Turbomachinery, 2017, vol. 139, no. 5, pp. 051002. https://doi.org/10.1115/1.4035202Ingram G. Endwall Profiling for the Reduction of Secondary Flow in Turbines: PhD thesis. Durham University, United Kingdom, 2003.Ingram G. Endwall Profiling for the Reduction of Secondary Flow in Turbines. PhD thesis. Durham University, United Kingdom, 2003.Bai B., Li Z., Li J., Mao S., Ng W.F. The effects of axisymmetric convergent contouring and blowing ratio on endwall film cooling and vane pressure side surface phantom cooling performance // Journal of Engineering for Gas Turbines and Power. 2022. V. 144. N 2. P. 021020. https://doi.org/10.1115/1.4052500Bai B., Li Z., Li J., Mao S., Ng W.F. The effects of axisymmetric convergent contouring and blowing ratio on endwall film cooling and vane pressure side surface phantom cooling performance. Journal of Engineering for Gas Turbines and Power, 2022, vol. 144, no. 2, pp. 021020. https://doi.org/10.1115/1.4052500Versteeg H.K., Malalasekera W. An Introduction to Computational Fluid Dynamics. The Finite Volume Method. Pearson Prentice Hall, 1995. 503 p.Versteeg H.K., Malalasekera W. An Introduction to Computational Fluid Dynamics. The Finite Volume Method. Pearson Prentice Hall, 1995, 503 p.Snedden G., Dunn D., Backstrom V.T.W., Ingram G. Observations on the selection of objective function for the optimisation of turbine endwalls using computational fluid dynamics // Proc. of the 7th South African Conference on Computational and Applied Mechanics (SACAM). 2010. P. 574-588.Snedden G., Dunn D., Backstrom V.T.W., Ingram G. Observations on the selection of objective function for the optimisation of turbine endwalls using computational fluid dynamics. Proc. of the 7th South African Conference on Computational and Applied Mechanics (SACAM), 2010, pp. 574–588.

The authors declare that there are no conflicts of interest present.