A Comparison of Triple-Moment Temperature-Velocity Correlations in the Asymmetric Heated Jet with Alternative Closure Models

  • I. Dekeyser
  • B. E. Launder
Conference paper


Measurements are reported of triple moments of velocity and temperature in a heated asymmetric two-dimensional turbulent jet involving velocity fluctuations in the x 1x 2 plane. The data thus obtained have been compared with those given by alternative algebraic models of the triple moments losing, in the model formulae, experimental values of the second-moment quantities and the dissipation rate of kinetic energy. The study supports the view that in strongly asymmetric flows the contribution of mean temperature gradients to the triple moments can be appreciable. The comparison also provides some support for the use of the generalized gradient transport hypothesis in approximating dissipation of the triple moments.


Shear Flow Triple Product Reynolds Stress Model Scalar Flux Turbulent Shear Flow 
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width of exit slot


diffusion of \(\overline {{u_i}{u_j}{u_k}}\) (likewise for velocity-temperature 3rd moments; subscript identifies quantity)


turbulence kinetic energy


x 2 distance between the positions where γ u = 1/2


u 2 distance between the positions where γ θ = 1/2


fluctuating pressure


generation rate of Reynolds stress


generation rate of \(\overline {{u_i}{u_j}{u_k}}\) due to Reynolds stress gradients (1) and mean strain (2)


\(\sqrt {2k}\)


turbulent time scale (k/ε)


fluctuating velocity


mean velocity


mean stream wise velocity (in x 1 direction)

u′, υ′, w

rms velocity fluctuations in x 1, x 2 and x 3 directions


sreamwise coordinate


cross stream Cartesian coordinate


x 2 position of velocity maximum


x 2 position of temperature maximum


intermittency of turbulent velocity signal


intermittency of turbulent temperature sequal


dissipation rate of turbulence energy


“dissipation” rate of \(\overline {{u_i}{u_j}{u_k}}\)


(x 2x m ) / u


(x 2x 2θ ) / θ


kinematic viscosity


density of fluid


fluctuating temperature


\(\sqrt {{{\overline \theta }^2}}\)


mean temperature


temperature above ambient


maximum temperature difference across jet


non-dispersive pressure correlation in \(\overline {{u_i}{u_j}{u_k}}\)


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • I. Dekeyser
    • 1
  • B. E. Launder
    • 2
  1. 1.IMSTMarseilleFrance
  2. 2.UMISTManchesterEngland

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