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Self‐similar solutions for axisymmetric jets using two turbulence models
Author(s) -
Ghazzawi N. A.,
Rabadi N. J.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620371109
Subject(s) - turbulence , rotational symmetry , dissipation , turbulence kinetic energy , eddy diffusion , mechanics , matrix similarity , partial differential equation , mathematics , compressibility , classical mechanics , physics , mathematical analysis , thermodynamics
Similarity solutions for incompressible axisymmetric jets using a k –ϵ and a constant eddy diffusivity turbulence models are considered. For the k –ϵ model, the governing equations are very complex. Therefore, a transformation that simplifies these equations and makes them amenable to efficient numerical solution is used. Results for the velocity, turbulent kinetic energy and dissipation rate are obtained. Also, velocity decay rate, growth rate, entrainment and kinetic energy decay rate are determined. A comparison with experimental data and other works utilizing a parabolic marching asymptotic solution to the full partial differential equations is made. This comparison shows that similarity solutions are more accurate than solutions using numerical marching procedures.