Feasible domain of Walker's unsteady wall-layer model for the velocity profile in turbulent flows

Anais da Academia Brasileira de Ciências

Mikhail D. Mikhailov¹  Atila P. Silva Freire¹ 

关键词: law of the wall;    turbulent boundary layer;    unsteady model;    feasible domain;    asymptotic theory;    lei da parede;    camada limite turbulenta;    modelo transiente;    domínio de validade;    teoria assintótica;   

DOI  :  10.1590/0001-3765201420130528

来源: SciELO

【 摘 要 】

The present work studies, in detail, the unsteady wall-layer model of Walker et al. (1989, AIAA J., 27, 140 – 149) for the velocity profile in turbulent flows. Two new terms are included in the transcendental non-linear system of equations that is used to determine the three main model parameters. The mathematical and physical feasible domains of the model are determined as a function of the non-dimensional pressure gradient parameter (p+). An explicit parameterization is presented for the average period between bursts (), the origin of time () and the integration constant of the time dependent equation (A0) in terms of p+. In the present procedure, all working systems of differential equations are transformed, resulting in a very fast computational procedure that can be used to develop real-time flow simulators.

【 授权许可】

CC BY   
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