Turbulence Structures in Accelerated Flow over a Flat Plate with Non-Zero Pressure Gradient

Document Type : Regular Article

Authors

Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, 91775-1111, Iran

10.47176/jafm.15.02.32337

Abstract

The numerical simulation of temporally accelerated flow subjected to Favorable and Adverse Pressure Gradients (FPG & APG) is represented. Two accelerations are considered and imposed on fully turbulent flow over a flat plate. The γ-SST model is implemented to define the boundary layer development, turbulence structures, and the wall functions responses to the external accelerated flow. The obtained results illustrate that the FPG condition accompanied by temporal acceleration can severely damp the fluctuations. So, an almost-laminar boundary layer develops near the wall, followed by a retransition to the higher turbulent state. However, the APG condition provides higher turbulence diffusion in a temporal accelerated flow. It makes the flow more orderly and more stable, although a re-laminarization is observable in this region excessively. Moreover, the applied condition disturbs the Reynolds stress correlation and generates semi-elliptic eddies because acceleration affects wall-normal fluctuations more severely than the streamwise ones. Also, a new represented acceleration parameter for this condition is compared with the acceleration parameter in spatially accelerated flow.

Keywords


Bader, P., M. Pschernig, W. Sanz, J. Woisetschläger, F. Heitmeir, W. Meile and G. Brenn (2018). Experimental Investigation of Boundary Layer Relaminarization in Accelerated Flow. Journal of Fluids Engineering, Transactions of the ASME 140 (8).##
Blackwelder, R. F. and L. S. G. Kovasznay (1972). Large-Scale Motion of a Turbulent Boundary Layer during Relaminarization. Journal of Fluid Mechanics 53 (1), 61–83.##
Bourassa, C. and F. O. Thomas (2009). An Experimental Investigation of a Highly Accelerated Turbulent Boundary Layer. Journal of Fluid Mechanics 634, 359–404.##
Burnel, S., J. C. Raelison and J. M. Thomas (1990). Radial Distribution of the Reynolds Stress in a Turbulent Pulsating Flow in a Pipe. Elsevier. New York.##
Escudier, M. P., A. Abdel-Hameed, M. W. Johnson and C. J. Sutcliffe (1998). Laminarisation and Re-Transition of a Turbulent Boundary Layer Subjected to Favourable Pressure Gradient. Experiments in Fluids 25 (5–6), 491–502.##
Greenblatt, D. and E. A. Moss (2004). Rapid Temporal Acceleration of a Turbulent Pipe Flow. Journal of Fluid Mechanics 514, 65–75.##
He, K., M. Seddighi and S. He (2016). DNS Study of a Pipe Flow Following a Step Increase in Flow Rate. International Journal of Heat and Fluid Flow 57, 130–41.##
He, S., C. Ariyaratne and A. E. Vardy (2008). A Computational Study of Wall Friction and Turbulence Dynamics in Accelerating Pipe Flows. Computers and Fluids 37 (6), 674–89.##
He, S., C. Ariyaratne and A. E. Vardy (2011). Wall Shear Stress in Accelerating Turbulent Pipe Flow. Journal of Fluid Mechanics 685: 440–60.##
He, S. and J. D. Jackson (2000). A Study of Turbulence under Conditions of Transient Flow in a Pipe. Journal of Fluid Mechanics 408, 1–38.##
He, S. and M. Seddighi (2013). Turbulence in Transient Channel Flow. Journal of Fluid Mechanics 715, 60–102.##
He, S. and M. Seddighi (2015). Transition of Transient Channel Flow after a Change in Reynolds Number. Journal of Fluid Mechanics 764: 395–427.##
Ichimiya, N. and F. FUJII. (1986). Properties in a Relaminarizing Turbulent Boundary Layer under a Favorable Pressure Gradient. Chemical and Pharmaceutical Bulletin 34 (1), 430–33.##
Jones, W. P. and B. E. Launder (1972). Some Properties of Sink-Flow Turbulent Boundary Layers. Journal of Fluid Mechanics 56 (2), 337–51.##
Jung, Se. Y. and Y. M. Chung(2009). Large-Eddy Simulation of Accelerated Turbulent Flow in a Pipe. 6th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2009 2009-June, 277–82.##
Jung, S. Y. and K. Kim (2017). Transient Behaviors of Wall Turbulence in Temporally Accelerating Channel Flows. International Journal of Heat and Fluid Flow 67, 13–26.##
Khaleghi, A., M. Pasandideh-Fard, M. Malek-Jafarian and Y. M. Chung. (2010). Assessment of Common Turbulence Models under Conditions of Temporal Acceleration in a Pipe. Journal of Applied Fluid Mechanics 3 (1), 25–33.##
Launder, B. E. and W. P. Jones (1969). Sink Flow Turbulent Boundary Layers. Journal of Fluid Mechanics 38 (4), 817–31.##
Mathur, A., S. Gorji, S. He, M. Seddighi, A. E. Vardy, T. O’Donoghue and D. Pokrajac (2018). Temporal Acceleration of a Turbulent Channel Flow. Journal of Fluid Mechanics 835, 471–90.##
McEligot, D. M. (1983). Laterally Converging Flow. Part 2. Temporal Wall Shear Stress. Journal of Fluid Mechanics 127: 403–28.##
McEligot, D. M., R. S. Brodkey and H. Eckelmann (2009). Laterally Converging Duct Flows. Part 4. Temporal Behaviour in the Viscous Layer. Journal of Fluid Mechanics 634, 433–61.##
McEligot, D. M. and H. Eckelmann (2006). Laterally Converging Duct Flows. Part 3. Mean Turbulence Structure in the Viscous Layer. Journal of Fluid Mechanics 549, 25–59.##
Menter, F. R. (1994). Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications. AIAA Journal 32 (8), 1598–1605.##
Menter, F. R., P. E. Smirnov, T. Liu and R. Avancha (2015). A One-Equation Local Correlation-Based Transition Model. Flow, Turbulence and Combustion 95 (4), 583–619.##
Mizushina, T., T. Maruyama and H. Hirasawa (1975). Structure of the Turbulence in Pulsating Pipe Flows. Journal of Chemical Engineering of Japan 8 (3), 210–16.##
Narasimha, R. and K. R. Sreenivasan (1973). Relaminarization in Highly Accelerated Turbulent Boundary Layers. Journal of Fluid Mechanics 61 (3), 417–47.##
Narayanan, M., A Badri and V. Ramjee (1969). On the Criteria for Reverse Transition in a Two-Dimensional Boundary Layer Flow. Journal of Fluid Mechanics 35 (2), 225–41.##
Freymuth, P. (1985). The Vortex Patterns of Dynamic Separation : A Parametric and Comparative Study. Progress in Aerospace Sciences 22(3), 161-208.##
Piomelli, U. and J. Yuan (2013). Numerical Simulations of Spatially Developing, Accelerating Boundary Layers. Physics of Fluids 25 (10).##
Saavedra, J., J. Poggie and G. Paniagua (2020). Response of a Turbulent Boundary Layer to Rapid Freestream Acceleration. Physics of Fluids 32 (4).##
Sarpkaya, T. (1991). Nonimpulsively Started Steady Flow about a Circular Cylinder. AIAA Journal 29 (8), 1283–89.##
Scotti, A. and U. Piomelli (2002). Turbulence Models in Pulsating Flows. AIAA Journal 40 (3), 537–44.##
Sengupta, T. K., T. T. Lim, Sharanappa V. Sajjan, S. Ganesh and J. Soria (2007). Accelerated Flow Past a Symmetric Aerofoil: Experiments and Computations. Journal of Fluid Mechanics 591, 255–88.##
Shemer L. and E. Kit (1984). An Experimental Investigation of the Quasisteady Turbulent Pulsating Flow in a Pipe. Physics of Fluids 27 (1), 72–76.##
Shemer, L., I. Wygnanski and E. Kit (1985). Pulsating Flow in a Pipe. Journal of Fluid Mechanics 153 (April), 313–37.##
Soria, J. (2003). Multigrid CCDPIV Measurements of Accelerated Flow Past an Airfoil at an Angle of Attack of 30 °” 27: 667–76.##
Spalart, P. R. (1986). Numerical Study of Sink-Flow Boundary Layers. Journal of Fluid Mechanics 172, 307–28.##
Stefes, B. and H. H. Fernholz (1998). TThe Effects of a Favourable Pressure Gradient and of the Reynolds Number on an Incompressible Axisymmetric Turbulent Boundary Layer. Part 2. The Boundary Layer with Relaminarization By. European Journal of Mechanics, B/Fluids 24 (2), 167–87.##
Völker, F. R., R. Menter and S. Langtry (2006). Transition Modelling for General Purpose CFD Codes, no. March: 277–303.##
Warnack, D. and H. H. Fernholz (1998). The Effects of a Favourable Pressure Gradient and of the Reynolds Number on an Incompressible Axisymmetric Turbulent Boundary Layer. Part 2. The Boundary Layer with Relaminarization. Journal of Fluid Mechanics 359, S0022112097008501.##
Yuan, J. and U. Piomelli (2015). Numerical Simulation of a Spatially Developing Accelerating Boundary Layer over Roughness. Journal of Fluid Mechanics 780, 192–214.##
Volume 15, Issue 2 - Serial Number 63
March and April 2022
Pages 311-324
  • Received: 31 October 2020
  • Revised: 08 May 2021
  • Accepted: 06 June 2021
  • First Publish Date: 29 January 2022