Numerical solution of hovering propeller performance at various blade pitch angles and revolutions with different turbulence models
الموضوعات : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیکBehrooz Shahriari 1 , Mohammad Reza Hashemi 2
1 - Faculty of Mechanics, Malek Ashtar University of Technology, Isfahan, Iran
2 - Mechanical Engineering, University of Birjand, Birjand, Iran
الکلمات المفتاحية: Shock Wave, Propeller, Blade pitch angle, Turbulence model, Hover,
ملخص المقالة :
In this research the validation of different turbulence models of a hovering propeller at different pitch angles and revolutions has been investigated. For this purpose, the pressure on the propeller surface at different cross sections has been calculated numerically by six different turbulence models and compared with the experimental data. In the first part, the effects of changing the blade angle have been discussed, in this case, the angles of 0, 2, and 12 degrees have been selected. The results showed that changes in the pitch angle of the propeller have led to an increase in the error rate of numerical calculations. At a high pitch angle and in the same chord section, the highest amount of error is produced in leading edge section of the propeller, among which the best model in terms of production error is the k-e RNG. Also, due to the possibility of the formation of shock waves, the S-A and k-e standard models have very large errors, which shows these models' inability to simulate rotating flow with shock waves.
[1] Eqbal, S., Fernando, N., Marino, M. and Wild, G. (2018). Hybrid propulsion systems for remotely piloted aircraft systems. Aerospace, 5(2), 34-52.
[2] Yeo, H. (2019). Design and aeromechanics investigation of compound helicopters. Aerospace Science and Technology, 88, 158-173.
[3] Huyer, S.A. and Snarski, S.R, (2003). Analysis of a turbulent propeller inflow. Journal Fluids Eng., 125(3), 533-542.
[4] Rhee, S.H. and Joshi, S. (2003). January CFD validation for a marine propeller using an unstructured mesh based RANS method, Fluids Engineering Division Summer Meeting, 36, 1157-1163.
[5] Funeno, I. (2002). On viscous flow around marine propellers hub vortex scale effect, J. Kanasai Soc. Japan, (238), 17-27.
[6] Strawn, R.C., Caradonna, F.X. and Duque, E.P, (2006). 30 years of rotorcraft computational fluid dynamics research and development. Journal of the American Helicopter Society, 51(1), 5-21.
[7] Kuiper, G. (2010). New developments and propeller design. Journal of Hydrodynamics, Ser. B, 22(5), 7-16.
[8] Egolf, T.A. and Sparks, S.P. (1987). A Full Potential Rotor Analysis with Wake Influence Using an Inner‐Outer Domain Technique. Journal of the American Helicopter Society, 32(3), 15-24.
[9] Wake, B.E. and Sankar, L.N. (1989). Solutions of the Navier‐Stokes Equations for the Flow About a Rotor Blade. Journal of the American Helicopter Society, 34(2), 13-23.
[10] Andronikos, T., Papadakis, G., Riziotis, V.A., Prospathopoulos, J.M. and Voutsinas, S.G, (2021). Validation of a cost effective method for the rotor-obstacle interaction. Aerospace Science and Technology, 113, 1-13.
[11] Alom, N. and Saha, U.K, (2019). Influence of blade profiles on Savonius rotor performance: Numerical simulation and experimental validation. Energy Conversion and Management, 186, 267-277.
[12] Alom, N. and Saha, U.K, (2019). Evolution and progress in the development of savonius wind turbine rotor blade profiles and shapes. Journal of Solar Energy Engineering, 141(3).
[13] Kamoji, M.A., Kedare, S.B. and Prabhu, S.V (2009). Performance tests on helical Savonius rotors. Renewable Energy, 34(3), 521-529.
[14] Bennaya, M., Gong, J.F., Hegaze, M.M. and Zhang, W.P (2013). Numerical simulation of marine propeller hydrodynamic performance in uniform inflow with different turbulence models. In Applied Mechanics and Materials, 389, 1019-1025.
[15] Sezen, S., Cosgun, T., Yurtseven, A. and Atlar, M, (2021). Numerical investigation of marine propeller underwater radiated noise using acoustic analogy Part 2: The influence of eddy viscosity turbulence models. Ocean Engineering, 220.
[16] Wang, L., Wu, T., Gong, J. and Yang, Y., (2021). Numerical simulation of the wake instabilities of a propeller. Physics of Fluids, 33(12).
[17] Pawar, S. and Brizzolara, S., (2019). Relevance of transition turbulent model for hydrodynamic characteristics of low Reynolds number propeller. Applied Ocean Research, 87, 165-178.
[18] Loureiro, E.V., Oliveira, N.L., Hallak, P.H., de Souza Bastos, F., Rocha, L.M., Delmonte, R.G.P. and de Castro Lemonge, A.C., (2021). Evaluation of low fidelity and CFD methods for the aerodynamic performance of a small propeller. Aerospace Science and Technology, 108.
[19] Jiang, Y., Li, Y., Wu, C., Qing, W. and Zhang, G., (2021). Assessment of RANS and DES turbulence models for the underwater vehicle wake flow field and propeller excitation force. Journal of Marine Science and Technology, 27, 226-244.
[20] Tu, T.N., (2019). Numerical simulation of propeller open water characteristics using RANSE method. Alexandria Engineering Journal, 58(2), 531-537.
[21] Yang, X.I. and Griffin, K.P. (2021) Grid-point and time-step requirements for direct numerical simulation and large-eddy simulation. Physics of Fluids, 33(1).
[22] Lew, A.J., Buscaglia, G.C. and Carrica, P.M., (2001). A note on the numerical treatment of the k-epsilon turbulence model. International Journal of Computational Fluid Dynamics, 14(3), 201-209.
[23] Balabel, A. and El-Askary, W.A., (2011). On the performance of linear and nonlinear k–ε turbulence models in various jet flow applications. European Journal of Mechanics-B/Fluids, 30(3), 325-340.
[24] Shih, T.H., Liou, W.W., Shabbir, A., Yang, Z. and Zhu, J., (1995). A new k-e eddy viscosity model for high reynolds number turbulent flows. Computers & fluids, 24(3), 227-238.
[25] Yakhot, V.S., Orszag, S.A., Thangam, S., Gatski, T.B. and Speziale, C., (1992). Development of turbulence models for shear flows by a double expansion technique. Physics of Fluids A: Fluid Dynamics, 4(7), 1510-1520.
[26] Morgans, R.C, Dally, B.B, Nathan, G.J, Lanspeary, P.V, Fletcher, D.F, (1999). Application of the reviesed Wilcox (1998) k-w turbulence model to a jet in Co-Flow, Second International Conference on CFD in Materials and Process Industries, 479-484.
[27] Adanta, D., Fattah, I.R. and Muhammad, N.M., (2020). Comparison of standard k-epsilon and sst k-omega turbulence model for breastshot waterwheel simulation. Journal of Mechanical Science and Engineering, 7(2), 39-44.
[28] Zhang, C., Bounds, C.P., Foster, L. and Uddin, M., (2019). Turbulence modeling effects on the CFD predictions of flow over a detailed full-scale sedan vehicle. Fluids, 4(3).
[29] Menter, F.R. (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32, 1598–1605.
[30] Yang, X.L., Liu, Y. and Yang, L., (2020). A shear stress transport incorporated elliptic blending turbulence model applied to near-wall, separated and impinging jet flows and heat transfer. Computers & Mathematics with Applications, 79(12), 3257-3271.
[31] Chiroșcă, A.M. and Rusu, L., (2021). Comparison between model test and three CFD studies for a benchmark container ship. Journal of Marine Science and Engineering, 9(1), 62.
[32] Spalart, P. and Allmaras, S., (1992). January. A one-equation turbulence model for aerodynamic flows. In 30th aerospace sciences meeting and exhibit, 439.
[33] Lorin, E., Ben Haj Ali, A. and Soulaimani, A., (2006). An accurate positivity preserving scheme for the Spalart-Allmaras turbulence model. Application to aerodynamics. In 36th AIAA Fluid Dynamics conference and exhibit, 374.
[34] Kostić, Č., (2015). Review of the Spalart-Allmaras turbulence model and its modifications to three-dimensional supersonic configurations. Scientific Technical Review, 65(1), 43-49.
[35] Casseer, D. and Ranasinghe, C., (2019). Assessment of spallart almaras turbulence model for numerical evaluation of ceiling fan performance. In 2019 Moratuwa Engineering Research Conference, 577-582.
[36] Paciorri, R., Dieudonne, W., Degrez, G., Charbonnier, J.M., Deconinck, H., Paciorri, R., Dieudonne, W., Degrez, G., Charbonnier, J.M. and Deconinck, H., (1997). Validation of the Spalart-Allmaras turbulence model for application in hypersonic flows. In 28th Fluid Dynamics Conference, 202.
[37] Medida, S. and Baeder, J, (2011). Application of the correlation-based gamma-re theta t transition model to the spalart allmaras turbulence model. In 20th AIAA computational fluid dynamics conference, 3979.
[38] Stajuda, M., Karczewski, M., Obidowski, D. and Jóźwik, K., (2016). Development of a CFD model for propeller simulation. Mechanics and Mechanical Engineering, 20(4), 579-593.
[39] Caradonna, F.X. and Tung, C., (1981). Experimental and analytical studies of a model helicopter rotor in hover. In European rotorcraft and powered lift aircraft forum, 8332.
