Numerical Investigation of Heat Transfer in Straight Pipe of Elliptic Cross-section Rotating in Orthogonal Mode
DOI:
https://doi.org/10.63746/njtd.v23i1.4498Keywords:
Heat Transfer, Orthogonal mode, Elliptic Pipes, RotationAbstract
Efficient heat removal in rotating cooling channels remains a critical challenge in thermal systems such as blades of gas turbine and rotating heat exchangers, where complex rotational forces significantly influence flow and temperature distributions. However, the combined effects of pipe eccentricity and orthogonal rotation on turbulent heat transfer in non-circular ducts are not yet fully quantified. This study numerically investigates the heat transfer characteristics of fluid flow in a straight pipe with an elliptical cross-section that rotates in an orthogonal mode. The objectives are to evaluate the influence of eccentricity, Rossby number, and Prandtl number on convective heat transfer. A three-dimensional computational fluid dynamics (CFD) model which is based on the finite volume method was developed using ANSYS Fluent. Simulations were conducted at a Reynolds number of 17,000 with a constant wall heat flux for three eccentricities (0.433, 0.866, and 0.916) and Prandtl numbers ranging from 0.73 to 7. Mesh independence was achieved at approximately 1.07 × 10? computational nodes. The results showed that the Nusselt number increased with both Rossby and Prandtl numbers, reaching a maximum value of approximately 340 at Pr = 7 and Ro = 0.1. The pipe with eccentricity 0.916 exhibited the highest heat transfer performance. The findings provide practical design guidance for cooling channels in rotating machinery such as gas turbines, heat exchangers, and rotating electrical systems.
References
ANSYS FLUENT 13 User’s Guide. (2013). Ansys Fluent Theory Guide. ANSYS Inc., USA, 15317(November), 724–746.
Baudoin, B. (1987). Contribution a l ’ etude des conditions d ’ ecoulement dans le circuit de refroidissement d ’ un moteur electrique de type ouvert. University of Poitiers.
Cecere, D., Giacomazzi, E., Di Nardo, A., & Calchetti, G. (2023). Gas Turbine Combustion Technologies for Hydrogen Blends. Energies, 16(19), 6829. https://doi.org/10.3390/en16196829
Cengel, Y. A. (2004). Heat Transference a Practical Approach. In MacGraw-Hill, (2nd ed., Vol. 4). Retrieved from http://dx.doi.org/10.1007/978-3-642-20279-7_5
Chang, S. W., Wu, P.-S., Wan, T.-Y., & Cai, W.-L. (2023). A Review of Cooling Studies on Gas Turbine Rotor Blades with Rotation. Inventions, 8(1), 21. https://doi.org/10.3390/inventions8010021
Chong, Y. C., Staton, D. A., Mueller, M. A., & Chick, J. (2017). An experimental study of rotational pressure loss in rotor-stator gap. Psychology of Learning and Motivation - Advances in Research and Theory, 67, 147–156. https://doi.org/10.1016/j.jppr.2017.05.007
Dai, Y. J. (2023). Effects of the direction of rotation axis on turbulent flows in rectangular ducts. Physics of Fluids, 35(9). https://doi.org/10.1063/5.0156921
Dan??maz, M., & Akda?, Ü. (2026). Enhancing heat transfer performance in elliptical tubes with nano fluids: A numerical case study. Numerical Heat Transfer, Part A: Applications. https://doi.org/10.1080/10407782.2025.2525315
Du, W., Luo, L., Jiao, Y., Wang, S., Li, X., & Sunden, B. (2021). Heat transfer in the trailing region of gas turbines – A state-of-the-art review. Applied Thermal Engineering, 199(July), 117614. https://doi.org/10.1016/j.applthermaleng.2021.117614
Fasquelle, A., Pellé, J., Harmand, S., & Shevchuk, I. V. (2014). Numerical study of convective heat transfer enhancement in a pipe rotating around a parallel axis. Journal of Heat Transfer, 136(5), 051901–051915. https://doi.org/10.1115/1.4025642
Fluent, A. (2013). Ansys Fluent Theory Guide. ANSYS Inc., USA, 15317(November), 724–746.
Gangfu, L., Haiwang, L., Ruquan, Y., Huijie, W., Zhi, T., & Shuangzhi, X. (2020). Experimental Investigation on Velocity and Temperature Field in a Rotating Non-isothermal Turbulent Boundary Layer using Hot-wire. Scientific Reports, 10(1), 1–15. https://doi.org/10.1038/s41598-020-66853-6
Han, J. C., Dutta, S., & Ekkad, S. (2013). Gas Turbine Heat Transfer and Cooling Technology. In Proceedings of the National Heat Transfer Conference (2nd ed., Vol. 2). Taylor and Francis Group.
Islam, N., Ali, L. E., & Islam, A. (2018). Rotational Effect on Viscous Fluid Flow through Rectangular Rotating Straight Duct. American Journal of Applied Mathematics, 6(5), 159. https://doi.org/10.11648/j.ajam.20180605.12
Li, H., Jiang, Z., Tao, Z., You, R., & Wu, H. (2019). Effect of system rotating on turbulent boundary layer flow. International Journal of Heat and Fluid Flow, 75(January), 185–194. https://doi.org/10.1016/j.ijheatfluidflow.2019.01.003
Mahadevappa, M., Rammohan Rao, V., & Sastri, V. M. K. (1996). Numerical study of steady laminar fully developed fluid flow and heat transfer in rectangular and elliptical ducts rotating about a parallel axis. International Journal of Heat and Mass Transfer, 39(4), 867–875. https://doi.org/10.1016/0017-9310(95)00069-0
Mahadevappa, M., Rao, K. V. C., & Sastr, V. M. K. (1993). Experimental Investigation for Fluid Flow and Heat Transfer in an Elliptical Duct Rotating about a Parallel Axis. Experimental Heat Transfer, 6, 97–109. https://doi.org/10.1080/08916150390126441
Mane, S. (2023). Advancements in Gas Turbine Engine Technology: A Conceptual Aspect. International Journal of Enhanced Research in Science, 12(7), 2319–7463. https://www.researchgate.net/publication/372317273
Micallef, C., Degabriele, J., & Camilleri, D. (2019). Fluid flow measurement in rotor ventilation ducts. The Journal of Engineering, 2019(17), 4486–4489. https://doi.org/10.1049/joe.2018.8097
Morris, W. D., & Chang, S. W. (1997). An experimental study of heat transfer in a simulated turbine blade cooling passage. International Journal of Heat and Mass Transfer, 40(15), 3703–3716. https://doi.org/10.1016/S0017-9310(96)00311-0
Ng, C. K. (2024). Simple quantitative examples illustrating how the centrifugal and Coriolis forces ‘rescue’ Newton’s second law in rotating frames. Physics Education, 59(3), 035001. https://doi.org/10.1088/1361-6552/AD2AF2
Sarja, A., Singh, P., & Ekkad, S. V. (2020). Parallel rotation for negating Coriolis force effect on heat transfer. Aeronautical Journal, 124(1274), 581–596. https://doi.org/10.1017/aer.2020.1
Simeonov, L. S. (2024). Intuitive Derivation of the Coriolis Force. https://arxiv.org/pdf/2409.14135
Sudjai, W., Juntasaro, V., & Juttijudata, V. (2024). Mechanisms of Secondary Flows in a Straight Square Duct under the Effect of Rotation. Engineering Journal, 28(5), 53–71. https://doi.org/10.4186/ej.2024.28.5.53
Tao, Z., Wu, H., You, R., Li, H., & Wei, K. (2018). Turbulent characteristics and rotation correction of wall function in rotating channel with high local rotation parameter. Chinese Journal of Aeronautics, 31(10), 1985–1999. https://doi.org/10.1016/j.cja.2018.08.006
Tekriwal, P. (1994). Heat transfer predictions with extended k-? turbulence model in radial cooling ducts rotating in orthogonal mode. Journal of Heat Transfer, 116(2), 369–380. https://doi.org/10.1115/1.2911409
Wei, K., Tao, Z., Deng, H., & You, R. (2015). INTERACTION OF SECONDARY FLOW WITH DEVELOPING, TURBULENT BOUNDARY LAYERS IN A ROTATING DUCT. Proceedings of ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, 1–9.
Wei, K., Tao, Z., Wu, H., Xu, G., Li, H., & You, R. (2017). Interaction between the primary flow fields and the secondary flow fields under rotating condition. Experimental Thermal and Fluid Science, 84, 217–230. https://doi.org/10.1016/j.expthermflusci.2017.02.010
Xu, L., Sun, Z., Ruan, Q., Xi, L., Gao, J., & Li, Y. (2023). Development Trend of Cooling Technology for Turbine Blades at Super-High Temperature of above 2000 K. Energies, 16(2), 668. https://doi.org/10.3390/en16020668
Yeranee, K., Rao, Y., Xu, C., Zhang, Y., & Su, X. (2024). Turbulent Flow Heat Transfer and Thermal Stress Improvement of Gas Turbine Blade Trailing Edge Cooling with Diamond-Type TPMS Structure. Aerospace, 11(1). https://doi.org/10.3390/aerospace11010037
You, R., Li, H., Tao, Z., & Wei, K. (2018). Measurement of the mean flow field in a smooth rotating channel with coriolis and buoyancy effects. Journal of Turbomachinery, 140(4). https://doi.org/10.1115/1.4038870
You, R., Li, H., Wei, K., & Tao, Z. (2017). Two-dimensional heat transfer distribution in a rotating smooth rectangular channel with four surface heating boundary condition. Advances in Mechanical Engineering, 9(10), 1–15. https://doi.org/10.1177/1687814017733243
You, R., Li, H., Wu, H., & Tao, Z. (2018). PIV flow measurements for a rotating square smooth channel heated by basically uniform heat flux. International Journal of Heat and Mass Transfer, 119, 236–246. https://doi.org/10.1016/j.ijheatmasstransfer.2017.11.073
You, R., Zhou, S., Li, H., & Tao, Z. (2019). Effect of heat flux on boundary layer flow under rotating conditions. International Journal of Heat and Fluid Flow, 80(October), 108493. https://doi.org/10.1016/j.ijheatfluidflow.2019.108493
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