Numerical Study on the Flow and Heat Transfer Characteristics in Mortise and Tenon Gap under Rotating Conditions
Abstract
:1. Introduction
2. Physical Model and Computational Method
2.1. Physical Model
2.2. Governing Equations
2.3. Boundary Conditions
2.4. Turbulence Model Validation
2.5. Grid Generation and Grid Independence Analysis
3. Results and Discussion
3.1. Effect of Rotation
3.1.1. Effect of Rotation on Flow Characteristics
3.1.2. Effect of Rotation on Heat Transfer Characteristics
3.2. Effect of the Gap Width
3.2.1. Effect of the Gap Width on Flow Characteristics
3.2.2. Effect of the Gap Width on Heat Transfer Characteristics
4. Conclusions
- Under rotating conditions, the pressure distribution across the mortise and tenon assembly gap section differs from that in static conditions. The pressure increases in the radial direction due to centrifugal force, reaching its maximum value at the corners of the S-shaped structure. The combined effects of centrifugal force and pressure gradience result in a different distribution of the streamlines in the upper and lower halves of the channel cross-section. The rotation changes the incident direction of the fluid, and the inlet vortex becomes more complicated, resulting in a higher turbulence intensity at the inlet. As the flow progresses, the turbulence intensity gradually decreases.
- Due to the presence of the inlet vortex, the drag coefficient and Nu of the mortise and tenon assembly gap are highest at the channel inlet. As the flow develops, both of them gradually decrease. In the same cross-section of the channel, with the affected viscosity of the fluid and spacing between the wall, velocity magnitude, and the turbulence intensity, the crescent-shaped corner region with a wider flow area at the two ends of the mortise and tenon assembly gap is larger, and exhibits higher Nu values, while those values in the narrower straight slot area are lower.
- The Nuave of both the leading and trailing surfaces in the rotating condition are lower than that of the static condition, which may be caused by the centrifugal force of rotation, which leads to more airflow downstream on the upper side and decreases the down part heat transfer intensity. With the increase in Re and the width of the mortise and tenon assembly gap, the wall Nuave increases, indicating higher heat transfer intensity in the channel. While the effect of Re and gap width are more announced than the rotation.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
- Walker, J.E.; Whan, G.A.; Rothfus, R.R. Fluid friction in noncircular ducts. AICHE J. 1957, 3, 484–489. [Google Scholar] [CrossRef]
- Xu, B.; Ooti, K.T.; Wong, N.T.; Choi, W.K. Experimental investigation of flow friction for liquid flow in microchannels. Int. Commun. Heat Mass Transf. 2000, 27, 1165–1176. [Google Scholar] [CrossRef]
- Lee, P.S.; Garimella, S.V.; Liu, D. Investigation of heat transfer in rectangular microchannels. Int. J. Heat Mass Transf. 2005, 48, 1688–1704. [Google Scholar] [CrossRef]
- Haofeng, S.; Jining, S. Experimental Study on Flow and Heat Transfer of Rectangular Microchannels on Rotating State. Aeroengine 2013, 39, 5. [Google Scholar]
- Hetsroni, G.; Mosyak, A.; Pogrebnyak, E.; Yarin, L.P. Heat transfer in micro-channels: Comparison of experiments with theory and numerical results. Int. J. Heat Mass Transf. 2005, 48, 5580–5601. [Google Scholar] [CrossRef]
- Hetsroni, G.; Mosyak, A.; Pogrebnyak, E.; Yarin, L.P. Fluid flow in micro-channels. Int. J. Heat Mass Transf. 2005, 48, 1982–1998. [Google Scholar] [CrossRef]
- Kose, H.A.; Yildizeli, A.; Cadirci, S. Parametric study and optimization of microchannel heat sinks with various shapes. Appl. Therm. Eng. 2022, 211, 118368. [Google Scholar] [CrossRef]
- Roy, P.; Anand, N.K.; Banerjee, D. Numerical simulation of flow and heat transfer in radially rotating microchannels. Microfluid. Nanofluidics 2013, 15, 397–413. [Google Scholar] [CrossRef]
- Avramenko, A.A.; Dmitrenko, N.P.; Shevchuk, I.V.; Tyrinov, A.I.; Shevchuk, V.I. Heat transfer of incompressible flow in a rotating microchannel with slip boundary conditions of second order. Int. J. Numer. Methods Heat Fluid Flow 2018, 29, 1786–1814. [Google Scholar] [CrossRef]
- Yongbao, L.; Youlong, F. The Finite Element Analysis for HPT Blade Tip Clearance Variation of Gas Turbine. Chin. J. Ship Res. 2011, 6, 5. [Google Scholar]
- Yufa, D.; Li, Z.; Haiying, L.; Xinglai, L. Experimental Investigation on Flow Characteristics in Tenon Joint Gap Between Turbine Blade and Disk. Mach. Electron. 2014, 2, 7–10. [Google Scholar]
- Xiaoteng, M.; Zheng, C.; Duchun, X. Flow and Heat Transfer Characteristics of the ‘‘S’’ type Assembly Clearance. J. Eng. Thermophys. 2016, 37, 1721–1727. Available online: https://kns.cnki.net/kcms2/article/abstract?v=lWc4gvQ5J15Xx4UmkyIBR53VmiCL_f-_65_-unt05NfdD1KkEyccTJ-CBmwGHDAbDcIz2Hi5xVI5dyYHeCurn6kXgh5OPGS8gy4kt4zuqTHHfvutFR-3EqEKpfDbyy81&uniplatform=NZKPT&language=CHS (accessed on 6 November 2023).
- Haiping, C.; Taiping, H.; Yansheng, Y. An experimental study on fluid friction and heat transfer in complex noncircular passages. J. Aerosp. Power 1993, 8, 358–362. [Google Scholar]
- Haiping, C.; Taiping, H.; Wanping, C. Experimental investigation on flow and heat transfer characteristics in tenon joint gap between turbine blade and disk. Trans. Nanjing Univ. Aeronaut. Astronaut. 1995, 5, 52–56. [Google Scholar]
- GopinathraoC, N.; AlizadehD, M.; Clarkson, J. Conjugate heat transfer study of a spin pit rig: Application to the lifing of hp turbine disc firtrees. In Proceedings of the ASME Turbo Expo 2008: Power for Land, Sea, and Air, Berlin, Germany, 9–13 June 2008; pp. 1693–1702. [Google Scholar]
- Chen, D.; Zhu, H.; Xu, Y.; Jia, X.; Liu, C.; Lu, H. Numerical Simulations of Flow Fields and Heat Transfer Characteristics in Tenon Joint Gap Between Turbine Blade and Disk under Rotating Conditions. In Proceedings of the ASME Turbo Expo: Turbomachinery Technical Conference & Exposition, Charlotte, NC, USA, 26–30 June 2017. [Google Scholar]
- Sohankar, A.; Joulaei, A.; Mahmoodi, M. Fluid flow and convective heat transfer in a rotating rectangular microchannel with various aspect ratios. Int. J. Therm. Sci. 2022, 172, 107259. [Google Scholar] [CrossRef]
- Dongbo, S.; Tao, X.; Zifeng, C.; Di, Z.; Yonghui, X. The effect of dimple/protrusion arrangements on the comprehensive thermal performance of variable cross-section rotating channels for gas turbine blades. Int. J. Therm. Sci. 2024, 196, 108733. [Google Scholar]
- Hua, L.; Hongwu, D. Heat transfer in a rotating impingement cooling channel with concave target surface. Int. J. Heat Mass Transf. 2023, 216, 124559. [Google Scholar]
- Kaixin, Y.; Hongwu, D.; Hua, L. Experimental and numerical investigation of thermo-hydraulic behavior in a rotating wedge-shaped trailing edge channel with internal jet impingement. Appl. Therm. Eng. 2023, 234, 121244. [Google Scholar]
- Yuli, C.; Yu, R.; Pengfei, S.; Longbing, H. Numerical analysis and experiments on heat transfer and flow structures in rotating three-pass serpentine channels with ribs, guide vanes and trailing bleed holes. Int. J. Therm. Sci. 2023, 193, 108529. [Google Scholar]
- Ce, L.; Yu, R.; Jianian, C.; Peng, Z. Experimental and Numerical Study of the Turbulent Flow and Heat Transfer in a Wedge-Shaped Channel With Guiding Pin Fin Arrays Under Rotating Conditions. J. Turbomach. 2022, 144, 071007. [Google Scholar]
- Armellini, A.; Casarsa, L.; Mucignat, C. Flow field analysis inside a gas turbine trailing edge cooling channel under static and rotating conditions. Int. J. Heat Fluid Flow 2011, 32, 1147–1159. [Google Scholar] [CrossRef]
- Xin, W.; Zhaohui, Y.; Feng, J.; Zhixiong, W.; Honghu, J. Numerical simulation of flow and heat transfer characteristic in straight-through labyrinth seals of aeroengines under eccentric and rotating conditions. J. Mech. Sci. Technol. 2023, 37, 3173–3183. [Google Scholar]
- Dring, R.P.; Blair, M.F.; Joslyn, H.D.; Power, G.D.; Verdon, J.M. The Effects of Inlet Turbulence and Rotor/Stator Interactions on the Aerodynamics and Heat Transfer of a Large-Scale Rotating Turbine Model. In Volume 2: Heat Transfer Data Tabulation. 15 Percent Axial Spacing; Final Report United Technologies Research Center East Hartford Ct; NASA: Washington, DC, USA, 1986. [Google Scholar]
- Su, S.; Liu, J.; An, B. Calculations of heat transfer and fluid flow in an unsymmetrical rib-roughened branch of a rotating two-pass duct. J. Eng. Thermophys. 2007, 28, 77. [Google Scholar]
- Willett, F.T., Jr. An Experimental Study of the Effects of Rotation on Convective Heat Transfer in Smooth and Pin Fin Ducts of Narrow Cross-Section. Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, NY, USA, 1999. Volume 60-09. p. 4855, Section B. [Google Scholar]
- Saravani, M.S.; DiPasquale, N.J.; Abbas, A.I.; Amano, R.S. Heat Transfer Evaluation for a Two-Pass Smooth Wall Channel: Stationary and Rotating Cases. J. Energy Resour. Technol. 2020, 142, 061305. [Google Scholar] [CrossRef]
- Long, M.; Haiwang, L.; Gang, X.; Zhi, T.; Zhiyu, Z. Film cooling performance of blade pressure side with three-row film holes under rotating condition. Int. J. Heat Mass Transf. 2022, 188, 122593. [Google Scholar]
- Moffat, R.J. Describing the uncertainties in experimental results. Exp. Therm. Fluid Sci. 1988, 1, 3–17. [Google Scholar] [CrossRef]
Parameters | Range | |
---|---|---|
L (mm) | length of the mortise and tenon gap channel | 100 |
H (mm) | height of the mortise and tenon gap channel | 33 |
d (mm) | width of the mortise and tenon gap | 0.2, 0.3, 0.4, 0.5, 0.6 |
HTC/W·m−2·K−1 | Relative Value of Uncertainty/% |
---|---|
100 | 5.0 |
2000 | 11.2 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Xu, Y.; Liu, Z.; Sun, R.; Feng, Z. Numerical Study on the Flow and Heat Transfer Characteristics in Mortise and Tenon Gap under Rotating Conditions. Energies 2024, 17, 81. https://doi.org/10.3390/en17010081
Xu Y, Liu Z, Sun R, Feng Z. Numerical Study on the Flow and Heat Transfer Characteristics in Mortise and Tenon Gap under Rotating Conditions. Energies. 2024; 17(1):81. https://doi.org/10.3390/en17010081
Chicago/Turabian StyleXu, Yao, Zhao Liu, Rui Sun, and Zhenping Feng. 2024. "Numerical Study on the Flow and Heat Transfer Characteristics in Mortise and Tenon Gap under Rotating Conditions" Energies 17, no. 1: 81. https://doi.org/10.3390/en17010081
APA StyleXu, Y., Liu, Z., Sun, R., & Feng, Z. (2024). Numerical Study on the Flow and Heat Transfer Characteristics in Mortise and Tenon Gap under Rotating Conditions. Energies, 17(1), 81. https://doi.org/10.3390/en17010081