Abstract
The objective of the present work is to propose an extended analytical wall function that is capable of predicting the bypass transition from laminar to turbulent flow. The algebraic γ transition model, the k−ω turbulence model and the analytical wall function are integrated together in this work to detect the transition onset and start the transition process. The present analytical wall function is validated with the experimental data, the Blasius solution and the law of the wall. With this analytical wall function, the transition onset in the skin friction coefficient is detected and the growth rate of transition is properly generated. The predicted mean velocity profiles are found to be in good agreement with the Blasius solution in the laminar flow, the experimental data in the transition zone and the law of the wall in the fully turbulent flow.
Highlights
IntroductionTurbulence and the laminar-to-turbulent flow transition process have been studied, for example in Balonishnikov [1] and Ershkov [2], respectively
Turbulence and the laminar-to-turbulent flow transition process have been studied, for example in Balonishnikov [1] and Ershkov [2], respectively. It was reported by Pacciani et al [3,4] that transition from laminar to turbulent flow plays a key role in modern aero-engines
Dick [43,44], hereafter analytical wall function (AWF)-transition, is implemented into an in-house CFD code which is based on the cell-centered finite-volume method
Summary
Turbulence and the laminar-to-turbulent flow transition process have been studied, for example in Balonishnikov [1] and Ershkov [2], respectively. For engineering applications, it was reported by Pacciani et al [3,4] that transition from laminar to turbulent flow plays a key role in modern aero-engines. It was reported by Pacciani et al [3,4] that transition from laminar to turbulent flow plays a key role in modern aero-engines This complex flow appears for instance in low-pressure turbines where the number of blades per row is reduced to meet the increasing demand of compact and light aircraft engines. The transition model is used to account for the effects of transition on the mean flow
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