Skip to main content
SpringerLink
Log in

The influence of the periodic disturbance on the local heat transfer in separated and reattached flow

  • Original
  • Published:
Heat and Mass Transfer Aims and scope Submit manuscript

Abstract

A numerical study based on the large eddy simulation methodology was made of heat transfer in locally disturbed turbulent separated and reattached flow over a backward facing step. The local disturbance was given to the flow by a sinusoidally blowing/suction of the fluid into a separated shear layer. The Reynolds number was fixed at 33,000 and Richardson number at 0.5. The disturbance frequency was varied in the range 0 ≤ St ≤ 2, where St is the Strouhal number of disturbance. The obtained results revealed the existence of an optimum perturbation frequency value, St = 0.25, in terms of the reduced reattachment length. At this frequency the heat transfer is significantly enhanced in the recirculation zone. The influence of the frequency and the amplitude of disturbance, in the maximum heat transfer positions and the maximum local Nusselt number, is analysed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Abbreviations

A :

Amplitude of disturbance

f :

Frequency of disturbance

g :

Gravitational acceleration

H :

Computational domain width

h :

Step height

Nu :

Local Nusselt number H(−∂θ/∂y)w

Nu max :

Maximum local Nusselt number

Re :

Reynolds number (U o H/ν)

Ra :

Rayleigh number (gβ(T h − T c)H 3/νκ)

Ri :

Richardson number (Ra/Re 2·Pr)

P :

Pressure

Pr :

Prandtl number

St :

Strouhal number (fh/U o)

u i :

Velocity vector

u :

Longitudinal velocity

U o :

Maximum velocity in the inlet

v :

Transverse velocity

t :

Time

T :

Temperature

x, y:

Cartesian coordinates

X r :

Reattachment length

X max :

Maximum heat transfer abscissa

β:

Thermal expansion coefficient

κ:

Thermal diffusivity

ν:

Kinematic viscosity

νt :

Turbulent viscosity

θ:

Dimensionless temperature (T − T C/T h − T C)

σ c :

Turbulent Prandtl number

C:

Cold

h:

Hot

w:

Wall

o:

Non-disturbed case

References

  1. Chun KB, Sung HJ (1996) Control of Turbulent separated flow over a backward-facing step. Exp Fluids 21:417–426

    Article  Google Scholar 

  2. Chun KB, Sung HJ (1998) Visualization of a locally-forced separated flow over a backward-facing Step. Exp Fluids 25:133–142

    Article  Google Scholar 

  3. Shishov EV, Roganov PS, Grabarnik SI, Zabolotsky VP (1988) Heat transfer in the recirculating region formed by a backward-facing step. Int J Heat Mass Transfer 318:1557–1562

    Article  Google Scholar 

  4. Aung W, Watkins CB (1978) Heat transfer mechanisms in separated forced convection. In: Proceedings of the NATO Institute on turbulent forced convection in channels and bundles: theory and applications to heat ex-changers, Turkey, June 20–Aug 2, 1978

  5. Vogel JC, Eaton JK (1985) Combined heat transfer and fluid dynamic measurements downstream of a backward-facing step. J Heat Transf 107:922–929

    Article  Google Scholar 

  6. Sparrow EM, Kang SS, Chuck W (1987) Relation between the point of flow reattachment and maximum heat transfer for regions of flow separation. Int J Heat Mass Transf 307:1237–1276

    Article  Google Scholar 

  7. Rhee GH, Sung HJ (2000) Enhancement of heat transfer in turbulent separated and reattaching flow by local forcing. Numer Heat Transf Part A 37:733–753

    Article  Google Scholar 

  8. Yoshioka S, Obi S, Masuda S (1999) Momentum transfer in the periodically perturbed turbulent flow over a backward-facing step. In: Banerjee S, Eaton JK (eds) Turbulence and shear flow phenomena-1. Begell House, Inc, pp 1321–1326

  9. Ta Phuoc L (1994) Modèles de sous maille appliqués aux écoulements instationnaires décolles, DGA/DRET. Journée thématique DRET. Aérodynamique instationnaire turbulent, aspects numériques et expérimentaux, France

  10. Sagaut P (1998) Introduction à la simulation des grandes échelles pour les écoulements de fluide incompressible. In: Collection Mathématiques et applications, vol 30. Springer, 282 pp

  11. Leonard BP (1988) Simple high accuracy resolution program for convection modeling of discontinuities. Int J Numer Methods Fluids 8:1291–1318

    Article  MATH  Google Scholar 

  12. Chorin A (1968) Numerical simulation of the Navier–Stokes equations. J Math Comput 22:745–762

    Article  MATH  MathSciNet  Google Scholar 

  13. Temam R (1968) Une méthode d’approximation de la solution des équations de Navier–Stokes. Bull Soc Math France 98:115–152

    MathSciNet  Google Scholar 

  14. Rhee GH, Sung HJ (2000) Turbulent numerical prediction of locally forced separated and reattaching flow. Fluid Dynam Res 26:421–436

    Article  Google Scholar 

  15. Abbassi H, Ben Nassrallah S (2007) MHD flow and heat transfer in a backward-facing step. Int Commun Heat Mass Transf 34:231–237

    Article  Google Scholar 

  16. Velazquez A, Arias JR, Mendez B (2008) Laminar heat transfer enhancement downstream of a backward facing step by using a pulsating flow. Int J Heat Mass Transf 51:2075–2089

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculté des Sciences de Tunis, Campus Universitaire, 1060, Tunis, Tunisia

    Zouhaier Mehrez, Mourad Bouterra, Afif El Cafsi & Ali Belghith

  2. LIMSI-CNRS Bat. 508, B.P. 133, 91403, Orsay Cedex, France

    Patrick Le Quere

Authors
  1. Zouhaier Mehrez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mourad Bouterra
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Afif El Cafsi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ali Belghith
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Patrick Le Quere
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zouhaier Mehrez.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mehrez, Z., Bouterra, M., El Cafsi, A. et al. The influence of the periodic disturbance on the local heat transfer in separated and reattached flow. Heat Mass Transfer 46, 107–112 (2009). https://doi.org/10.1007/s00231-009-0548-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00231-009-0548-z

Keywords

Search

Navigation