Development of a nonlinear near-wall turbulence model for turbulent flow and heat transfer

✍ Scribed by Tae Seon Park; Hyung Jin Sung; Kenjiro Suzuki

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 624 KB
• Volume: 24
• Category: Article
• ISSN: 0142-727X
• DOI: 10.1016/s0142-727x(02)00211-4

✦ Synopsis

A new nonlinear near-wall turbulence model is developed on the basis of realizability constraints to predict turbulent flow and heat transfer in strongly nonequilibrium flows. The linear k-e-f l model of Park and Sung (Fluid Dyn. Res., 20 (1997) 97) is extended to a nonlinear formulation. The stress-strain relationship is derived from the Cayley-Hamilton theorem in a homogeneous flow. The ratio of production to dissipation (P k =e) is employed to solve an algebraic equation of the strain dependent coefficients. A nearwall treatment is dealt with by reproducing the model coefficients from a modified strain variable. An improved explicit heat flux model is proposed with the aid of Cayley-Hamilton theorem, which includes the quadratic effects of flow deformations. The nearwall asymptotic behavior is incorporated by modifying the f k function. Emphasis is placed on the model performance on the truncated strain terms. The model performance is shown to be generally satisfactory.