Sensitivity of TBL Wall-Pressure over the Flat Plate on Numerical Turbulence Model Parameter Variations

Authors

  • Biplab Ranjan Adhikary Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India
  • Ananya Majumdar Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India
  • Atanu Sahu Department of Civil Engineering, National Institute of Technology, Silchar, Assam, India
  • Partha Bhattacharya Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India

DOI:

https://doi.org/10.37934/cfdl.15.7.148174

Keywords:

TBL, sensitivity, spectrum model, RANS, CFD

Abstract

A two-fold sensitivity of the zero-pressure gradient (ZPG) turbulent boundary layer (TBL) wall-pressure spectrum to different RANS model parameters is investigated for a flat plate case, which is a close approximation to the aircraft fuselage or wing. The alteration in the mean square pressure fluctuations due choice of semi-empirical pressure model and the choice of computational model parameters like solver, near wall grid clustering, measuring location, and flow velocity are separately studied. The underlying effect of different TBL parameters in the said sensitivity has been studied while numerically replicating wind tunnel experiments and in-flight tests considering different RANS configurations. Initially, the best-predicting pressure spectrum models are selected by comparing them with available in-flight and wind tunnel test data. Subsequently, the accuracy of all the individual model parameters in predicting mean TBL flow quantities like wall shear stress, boundary layer thickness, displacement thickness, momentum thickness, etc., and eventually mean square pressure (MSP) is estimated. The sensitivity of the mean square pressure fluctuations value to the TBL flow quantities and the near-wall grid clustering is observed to be significant. In general,  family of models is found to be best in terms of numerical convergence and closeness when compared to the experimental MSP values.  family of models is suggested to be avoided while estimating MSP in flat plate TBL case

Author Biographies

Biplab Ranjan Adhikary, Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India

biplab.iitkgp@yahoo.com

Ananya Majumdar, Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India

annatat1397@gmail.com

Atanu Sahu, Department of Civil Engineering, National Institute of Technology, Silchar, Assam, India

atanu@civil.nits.ac.in

Partha Bhattacharya, Department of Civil Engineering, Jadavpur University, Kolkata, West Bengal, India

p_bhatta@yahoo.com

References

Schewe, Günter. "On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow." Journal of Fluid Mechanics 134 (1983): 311-328. https://doi.org/10.1017/S0022112083003389

McGrath, Brian E., and Roger L. Simpson. Some features of surface pressure fluctuations in turbulent boundary layers with zero and favorable pressure gradients. No. NAS 1.26: 4051. NASA, 1987.

Farabee, Theodore M., and Mario J. Casarella. "Spectral features of wall pressure fluctuations beneath turbulent boundary layers." Physics of Fluids A: Fluid Dynamics 3, no. 10 (1991): 2410-2420. https://doi.org/10.1063/1.858179

Gravante, S. P., A. M. Naguib, C. E. Wark, and HMm Nagib. "Characterization of the pressure fluctuations under a fully developed turbulent boundary layer." AIAA journal 36, no. 10 (1998): 1808-1816. https://doi.org/10.2514/2.296

Goody, Michael C., and Roger L. Simpson. "Surface pressure fluctuations beneath two-and three-dimensional turbulent boundary layers." AIAA journal 38, no. 10 (2000): 1822-1831. https://doi.org/10.2514/2.863

Rackl, Robert, and Adam Weston. Modeling of turbulent boundary layer surface pressure fluctuation auto and cross spectra-verification and adjustments based on TU-144LL data. No. NASA/CR-2005-213938. 2005.

Rocha, Joana, and Daniel Palumbo. "On the sensitivity of sound power radiated by aircraft panels to turbulent boundary layer parameters." Journal of Sound and Vibration 331, no. 21 (2012): 4785-4806. https://doi.org/10.1016/j.jsv.2012.05.030

Salze, Édouard, Christophe Bailly, Olivier Marsden, Emmanuel Jondeau, and Daniel Juvé. "An experimental characterisation of wall pressure wavevector-frequency spectra in the presence of pressure gradients." In 20th AIAA/CEAS Aeroacoustics Conference, p. 2909. 2014. https://doi.org/10.2514/6.2014-2909

Blitterswyk, Van, and Jared Corey. "Experimental characterization of turbulent motions using wall-pressure measurements in low Reynolds number turbulent boundary layers." PhD diss., Carleton University, 2016.

Shahmohamadi, Hamed, and Mohammad Mehdi Rashidi. "Experimental investigation and a novel analytical solution of turbulent boundary layer flow over a flat plate in a wind tunnel." International Journal of Mechanical Sciences 133 (2017): 121-128. https://doi.org/10.1016/j.ijmecsci.2017.08.043

Thomson, Nicholas, and Joana Rocha. "Comparison of Semi-Empirical Single Point Wall Pressure Spectrum Models with Experimental Data." Fluids 6, no. 8 (2021): 270. https://doi.org/10.3390/fluids6080270

Goody, Michael. "Empirical spectral model of surface pressure fluctuations." AIAA journal 42, no. 9 (2004): 1788-1794. https://doi.org/10.2514/1.9433

Smol’yakov, A. V. "Calculation of the spectra of pseudosound wall-pressure fluctuations in turbulent boundary layers." Acoustical Physics 46, no. 3 (2000): 342-347. http://dx.doi.org/10.1134/1.29890

Leneveu, Romain, Martin Rissman, and Alberto A. Pinar. "Validation with experimental data of an heterogeneous turbulent wall pressure fluctuation model in a FEM structural context." In 25th AIAA/CEAS Aeroacoustics Conference, p. 2751. 2019. https://doi.org/10.2514/6.2019-2751

Dominique, J., J. Van den Berghe, C. Schram, and M. A. Mendez. "Artificial neural networks modeling of wall pressure spectra beneath turbulent boundary layers." Physics of Fluids 34, no. 3 (2022): 035119. https://doi.org/10.1063/5.0083241

Smol'Yakov, A. V., V. M. Tkachenko, and J. S. Wood. "Model of a field of pseudosonic turbulent wall pressures and experimental data." Soviet physics. Acoustics 37, no. 6 (1991): 627-631.

Celik, Ishmail B., Urmila Ghia, Patrick J. Roache, and Christopher J. Freitas. "Procedure for estimation and reporting of uncertainty due to discretization in CFD applications." Journal of fluids Engineering-Transactions of the ASME 130, no. 7 (2008). https://doi.org/10.1115/1.2960953

Pope, Stephen B., and Stephen B. Pope. Turbulent flows. Cambridge university press, 2000.

Launder, Brian Edward, and Bahrat I. Sharma. "Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc." Letters in heat and mass transfer 1, no. 2 (1974): 131-137. https://doi.org/10.1016/0094-4548(74)90150-7

Wilcox, David C. "Reassessment of the scale-determining equation for advanced turbulence models." AIAA journal 26, no. 11 (1988): 1299-1310. https://doi.org/10.2514/3.10041

Menter, Florian R. "Two-equation eddy-viscosity turbulence models for engineering applications." AIAA journal 32, no. 8 (1994): 1598-1605. https://doi.org/10.2514/3.12149

Menter, Florian R., Martin Kuntz, and Robin Langtry. "Ten years of industrial experience with the SST turbulence model." Turbulence, heat and mass transfer 4, no. 1 (2003): 625-632.

Spalart, Philippe, and Steven Allmaras. "A one-equation turbulence model for aerodynamic flows." In 30th aerospace sciences meeting and exhibit, p. 439. 1992. https://doi.org/10.2514/6.1992-439

Shih, T-H., William W. Liou, Aamir Shabbir, Zhigang Yang, and Jiang Zhu. A new k-epsilon eddy viscosity model for high Reynolds number turbulent flows: Model development and validation. No. CMOTT-94-6. 1994.

Kok, Johan C. "Resolving the dependence on freestream values for the k-turbulence model." AIAA journal 38, no. 7 (2000): 1292-1295.

Menter, Florian R. "Influence of freestream values on k-omega turbulence model predictions." AIAA journal 30, no. 6 (1992): 1657-1659. https://doi.org/10.2514/3.11115

Kalitzin, Georgi, Gorazd Medic, Gianluca Iaccarino, and Paul Durbin. "Near-wall behavior of RANS turbulence models and implications for wall functions." Journal of Computational Physics 204, no. 1 (2005): 265-291. https://doi.org/10.1016/j.jcp.2004.10.018

Efimtsov, B., N. Kozlov, S. Kravchenko, and A. Andersson. "Wall pressure-fluctuation spectra at small forward-facing steps." In 5th AIAA/CEAS Aeroacoustics Conference and Exhibit, p. 1964. 1999. https://doi.org/10.2514/6.1999-1964

Lowson, Martin V. Prediction of boundary layer pressure fluctuations. WYLE LABS INC HUNTSVILLE AL TESTING DIV, 1968. https://doi.org/10.21236/AD0832715

Chase, David M. "Modeling the wavevector-frequency spectrum of turbulent boundary layer wall pressure." Journal of sound and Vibration 70, no. 1 (1980): 29-67. https://doi.org/10.1016/0022-460X(80)90553-2

Howe, Michael S., and Michael S. Howe. Acoustics of fluid-structure interactions. Cambridge university press, 1998. https://doi.org/10.1017/CBO9780511662898

Laganelli, A. L., and H. F. Wolfe. "Prediction of fluctuating pressure in attached and separated turbulent boundary-layer flow." Journal of Aircraft 30, no. 6 (1993): 962-970. https://doi.org/10.2514/3.46440

Adanta, Dendy, Budiarso Budiarso, and Ahmad Indra Siswantara. "Assessment of turbulence modelling for numerical simulations into pico hydro turbine." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 46, no. 1 (2018): 21-31.

Tey, Wah Yen, Yutaka Asako, Nor Azwadi Che Sidik, and Rui Zher Goh. "Governing equations in computational fluid dynamics: Derivations and a recent review." Progress in Energy and Environment 1 (2017): 1-19.

Hambric, S. A., Y. F. Hwang, and W. K. Bonness. "Vibrations of plates with clamped and free edges excited by low-speed turbulent boundary layer flow." Journal of fluids and structures 19, no. 1 (2004): 93-110. https://doi.org/10.1016/j.jfluidstructs.2003.09.002

Ishak, Izuan Amin, Nurshafinaz Maruai, Fadhilah Mohd Sakri, Rahmah Mahmudin, Nor Afzanizam Samiran, Syabillah Sulaiman, Shaiful Fadzil Zainal Abidin, and Nik Normunira Mat Hassan. "Numerical Analysis on the Crosswind Influence Around a Generic Train Moving on Different Bridge Configurations." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 89, no. 2 (2022): 76-98. https://doi.org/10.37934/arfmts.89.2.7698

Beleri, Joonabi, and Asha S. Kotnurkar. "Peristaltic Transport of Ellis Fluid under the Influence of Viscous Dissipation Through a Non-Uniform Channel by Multi-Step Differential Transformation Method." Journal of Advanced Research in Numerical Heat Transfer 9, no. 1 (2022): 1-18.

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Published

2023-05-29

How to Cite

Adhikary, B. R., Majumdar, A., Sahu, A., & Bhattacharya, P. (2023). Sensitivity of TBL Wall-Pressure over the Flat Plate on Numerical Turbulence Model Parameter Variations . CFD Letters, 15(7), 148–174. https://doi.org/10.37934/cfdl.15.7.148174

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