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

• Autor(a) principal: MIKHAILOV,MIKHAIL D.
• Data de Publicação: 2014
• Outros Autores: FREIRE,ATILA P. SILVA
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Anais da Academia Brasileira de Ciências (Online)
• Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000402121
• topic: law of the wall; turbulent boundary layer; unsteady model; feasible domain; asymptotic theory

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.