Skip to main content
Top

2020 | OriginalPaper | Chapter

Boundary Layer Stability with Embedded Rotating Cylindrical Roughness Element

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Linear stability theory (LST) and direct numerical simulations (DNS) are used to investigate the instability of boundary layer flow with an embedded rotating cylindrical roughness element. The non-linear formulation of the perturbation evolution is implemented and solved with the second-order finite volume solver OpenFOAM, which is validated by comparison with LST prediction with respect to Tollmien-Schlichting waves. Dynamic mode decomposition (DMD) is then used to obtain the frequency separated disturbance modes. To obtain an insight into the instability mechanism, perturbation kinetic energy analysis is followed. Results reveal the possible stabilization effect of such a flow setup.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Andersson, P., Brandt, L., Bottaro, A., et al.: On the breakdown of boundary layer streaks. J. Fluid Mech. 428, 29–60 (2001)MathSciNetCrossRef Andersson, P., Brandt, L., Bottaro, A., et al.: On the breakdown of boundary layer streaks. J. Fluid Mech. 428, 29–60 (2001)MathSciNetCrossRef
2.
go back to reference Fransson, J.H., Talamelli, A., Brandt, L., Cossu, C.: Delaying transition to turbulence by a passive mechanism. Phys. Rev. Lett. 96(6), 064501 (2006)CrossRef Fransson, J.H., Talamelli, A., Brandt, L., Cossu, C.: Delaying transition to turbulence by a passive mechanism. Phys. Rev. Lett. 96(6), 064501 (2006)CrossRef
3.
go back to reference Siconolfi, L., Camarri, S., Fransson, J.H.: Stability analysis of boundary layers controlled by miniature vortex generators. J. Fluid Mech. 784, 596–618 (2015)CrossRef Siconolfi, L., Camarri, S., Fransson, J.H.: Stability analysis of boundary layers controlled by miniature vortex generators. J. Fluid Mech. 784, 596–618 (2015)CrossRef
4.
go back to reference Cossu, C., Brandt, L.: On Tollmien–Schlichting-like waves in streaky boundary layers. Eur. J. Mech.-B/Fluids 23(6), 815–833 (2004)MathSciNetCrossRef Cossu, C., Brandt, L.: On Tollmien–Schlichting-like waves in streaky boundary layers. Eur. J. Mech.-B/Fluids 23(6), 815–833 (2004)MathSciNetCrossRef
5.
go back to reference Shahinfar, S., Sattarzadeh, S.S., Fransson, J.H.M.: Passive boundary layer control of oblique disturbances by finite-amplitude streaks. J. Fluid Mech. 749, 1–36 (2014)CrossRef Shahinfar, S., Sattarzadeh, S.S., Fransson, J.H.M.: Passive boundary layer control of oblique disturbances by finite-amplitude streaks. J. Fluid Mech. 749, 1–36 (2014)CrossRef
6.
go back to reference Meyer, D.: Direkte numerische Simulation nichtlinearer Transitionsmechanismen in der Strömungsgrenzschicht einer ebenen Platte. Shaker (2003) Meyer, D.: Direkte numerische Simulation nichtlinearer Transitionsmechanismen in der Strömungsgrenzschicht einer ebenen Platte. Shaker (2003)
7.
go back to reference Loiseau, J.C., Robinet, J.C., Cherubini, S., Leriche, E.: Investigation of the roughness-induced transition: global stability analyses and direct numerical simulations. J. Fluid Mech. 760, 175–211 (2014)MathSciNetCrossRef Loiseau, J.C., Robinet, J.C., Cherubini, S., Leriche, E.: Investigation of the roughness-induced transition: global stability analyses and direct numerical simulations. J. Fluid Mech. 760, 175–211 (2014)MathSciNetCrossRef
8.
go back to reference Åkervik, E., Brandt, L., Henningson, D.S., Hoeffner, J., Marxen, O., Schlatter, P.: Steady solutions of the Navier-Stokes equations by selective frequency damping. Phys. Fluids 18(6), 068102 (2006)CrossRef Åkervik, E., Brandt, L., Henningson, D.S., Hoeffner, J., Marxen, O., Schlatter, P.: Steady solutions of the Navier-Stokes equations by selective frequency damping. Phys. Fluids 18(6), 068102 (2006)CrossRef
9.
go back to reference Belson, B.A., Tu, J.H., Rowley, C.W.: Algorithm 945: modred—a parallelized model reduction library. ACM Trans. Math. Softw. (TOMS) 40(4), 30 (2014)MathSciNetCrossRef Belson, B.A., Tu, J.H., Rowley, C.W.: Algorithm 945: modred—a parallelized model reduction library. ACM Trans. Math. Softw. (TOMS) 40(4), 30 (2014)MathSciNetCrossRef
10.
go back to reference Kotsonis, M., Giepman, R., Hulshoff, S., Veldhuis, L.: Numerical study of the control of Tollmien–Schlichting waves using plasma actuators. AIAA J. 51(10), 2353–2364 (2013)CrossRef Kotsonis, M., Giepman, R., Hulshoff, S., Veldhuis, L.: Numerical study of the control of Tollmien–Schlichting waves using plasma actuators. AIAA J. 51(10), 2353–2364 (2013)CrossRef
11.
go back to reference Dörr, P.C., Kloker, M.J.: Transition control in a three-dimensional boundary layer by direct attenuation of nonlinear crossflow vortices using plasma actuators. Int. J. Heat Fluid Flow 61, 449–465 (2016)CrossRef Dörr, P.C., Kloker, M.J.: Transition control in a three-dimensional boundary layer by direct attenuation of nonlinear crossflow vortices using plasma actuators. Int. J. Heat Fluid Flow 61, 449–465 (2016)CrossRef
12.
go back to reference Schmid, P.J., Henningson, D.S.: Stability and Transition in Shear Flows, vol. 142. Springer, New York (2012)MATH Schmid, P.J., Henningson, D.S.: Stability and Transition in Shear Flows, vol. 142. Springer, New York (2012)MATH
13.
go back to reference Giannetti, F., Luchini, P.: Structural sensitivity of the first instability of the cylinder wake. J. Fluid Mech. 581, 167–197 (2007)MathSciNetCrossRef Giannetti, F., Luchini, P.: Structural sensitivity of the first instability of the cylinder wake. J. Fluid Mech. 581, 167–197 (2007)MathSciNetCrossRef
Metadata
Title
Boundary Layer Stability with Embedded Rotating Cylindrical Roughness Element
Authors
Yongxiang Wu
Ulrich Rist
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-25253-3_27

Premium Partners