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On the effect of inflow conditions in simulation of a turbulent round jet

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Abstract

This paper investigates the impact of the inflow conditions on simulations of a round jet discharging from a wall into a large space. The fluid dynamic characteristics of a round jet are studied numerically. A numerical method based on the control volume approach with collocated grid arrangement is employed. The \({k-\varepsilon}\) model is utilized to approximate turbulent stresses by considering six different inlet conditions. The velocity field is presented, and the rate of decay at the jet centerline is determined. The results showed that inflow conditions had a strong influence on the jet characteristics. This paper also investigates both sharp-edged and contoured nozzles. The effects of velocity, turbulence intensity, turbulence kinetic energy, and turbulence dissipation rate on flow field characteristics are examined. Results showed that the present simulations in both types of nozzles are in good agreement with experiments when considering the appropriate inflow conditions.

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Abbreviations

c1, c2, c μ :

\({k-\varepsilon}\) Turbulence model constants

D :

Circular nozzle diameter (m)

F :

Function of r which fitted to u in/u in, cl velocity measured from experiment

G :

Function of r which fitted to v in/u in, cl velocity measured from experiment

I :

Turbulence intensity

J :

Function of r which fitted to axial turbulence intensity measured from experiment at x/D = 0.28

L x , L r :

Length of the computational domain (m)

Re :

Reynolds number based on Hydraulic diameter

u, v, w:

Time-averaged velocity components in the x and r direction (m s−1)

\({\sqrt{u^{\prime 2}},\,\sqrt{v^{\prime 2}}}\) :

Root mean square of fluctuating velocity in x and r direction (m s−1)

x, r, θ:

Cylindrical coordinate of domain

r 1/2 :

Half-velocity width in the r direction based on the u-velocity \([{u(r_{1/2} )=\frac{1}{2}u_{\rm cl}}]\) (m)

μ :

Dynamic viscosity (N s m−2)

μ t :

Eddy viscosity (N s m−2)

ρ :

Density (Kg m−3)

\(\sigma_{\kappa },\,{\sigma_{\varepsilon }}\) :

\({k-\varepsilon}\) Turbulence model constant

ave.:

Average

cl :

At the jet centerline

in :

At inlet plane of jet

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Authors and Affiliations

  1. School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    Ehsan Faghani, Reza Maddahian & Bijan Farhanieh

  2. National Iranian Oil Products Distribution Company (NIOPDC), Tehran, Iran

    Simin Dokht Saemi

Authors
  1. Ehsan Faghani
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  2. Simin Dokht Saemi
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  3. Reza Maddahian
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  4. Bijan Farhanieh
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Correspondence to Ehsan Faghani.

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Faghani, E., Saemi, S.D., Maddahian, R. et al. On the effect of inflow conditions in simulation of a turbulent round jet. Arch Appl Mech 81, 1439–1453 (2011). https://doi.org/10.1007/s00419-010-0494-8

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