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Large eddy simulation of a slot jet impinging on a convex surface

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Abstract

A large eddy simulation is used to simulate flow and heat transfer in a turbulent plane jet with two distances from the jet-exit to impingement corresponding to twice and ten times the slot nozzle width. The resolved different unsteady vortex motions of the jet shear layers are studied and shown to have an important influence on heat transfer at the wall. They are used to explain existence of the second peak in Nusselt number for the case corresponding to twice the slot nozzle width. The predicted average surface Nusselt number profiles exhibit good agreement with experiments.

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Abbreviations

C S :

Smagorinsky constant

d :

Distance closest to the wall

D :

Semi-cylindrical convex surface diameter

k :

Turbulent kinetic energy

L s :

Mixing length for subgrid scales

N :

Number of samples

Nu(s, t i ):

Local and instantaneous Nusselt number

q j :

Temperature flux in the xj direction

p :

Pressure

Re W :

Reynolds number

s :

Distance from the impingement point along the curved wall

S ij :

Strain rate tensor

t :

Time

\( \bar{T} \) :

Filtered temperature

u, v, w :

Velocity components

u′, v′, w′:

Fluctuating velocity components

\( \bar{u}_{i} \) :

Filtered x i -velocity component

u n :

Velocity resultant parallel to the wall

u τ :

Friction velocity

u + :

Nondimensional velocity \( u^{ + } = \overline{{u_{n} }} /u_{\tau } \)

\( \overline{w}_{in} \) :

Average inlet z-velocity

V :

Volume of the computational cell

W :

Slot nozzle width

x, y, z :

Cartesian coordinates

y n :

Distance normal to the wall

Y :

Distance from the slot exit to the point of impact on the wall

y + :

Nondimensional distance normal to the wall \( y^{ + } = \left( {\rho u_{\tau } y_{n} } \right)/\mu \)

\( \overline{{{\uptheta}}} \) :

Normalized mean temperature \( \overline{\theta } = (T - 291)/(313 - 291) \)

σ:

Laminar Prandtl number

σ ij :

Laminar stress tensor

σ t :

Turbulent Prandtl number

κ:

Von Karman constant

ρ:

Density

τ ij :

Subgrid scale stress tensor

μ:

Fluid dynamic viscosity

μ t :

Turbulent dynamic viscosity

ν:

Laminar kinematic viscosity

ν t :

Turbulent kinematic viscosity

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Authors and Affiliations

  1. Mechanical Engineering Department, The Petroleum Institute, Abu Dhabi, United Arab Emirates

    Nabil Kharoua & Lyes Khezzar

  2. LEAP, Département de Génie Mécanique, Université Mentouri Constantine, Constantine, Algeria

    Adra Benhacine & Zoubir Nemouchi

Authors
  1. Adra Benhacine
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  2. Nabil Kharoua
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  3. Lyes Khezzar
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  4. Zoubir Nemouchi
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Correspondence to Lyes Khezzar.

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Benhacine, A., Kharoua, N., Khezzar, L. et al. Large eddy simulation of a slot jet impinging on a convex surface. Heat Mass Transfer 48, 1–15 (2012). https://doi.org/10.1007/s00231-011-0835-3

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  • DOI: https://doi.org/10.1007/s00231-011-0835-3

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