Las ecuaciones de Reynolds y la relación de clausura
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| Autor: | |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2009 |
| Descripción: | We posed the problem to obtain the closure relation for the Reynolds equations. And like secondary target, to obtain analytical expressions for the Reynolds stress. Showing its jump of discontinuity like expression of the rupture of the symmetry; the one is interpret by us as a jump in the index of occupation of the space. Our main result consists of which the Reynolds stress is expressed like the fractional derived one from the average velocity. Being the order of the derived one index of space occupation; what the Reynolds equations transform into differential integral equations. We formulate a model of fractional Prandtl where the squared root of the Reynolds stress depends of the fractional derived one from the average velocity and the model of Prandtl is recovered when the fractional derived one tends to the whole of value. A regularizated transition appearsbetween velocity of the inertial sub-layer and the viscous and the constant of Nikuradse is obtained like the hydraulic equivalent of the Euler’s constant, who measures the reason of the two scales. We analyze the Reynolds equations for a flow between two planes parallels, through an equation of stationary Fokker-Planck. The velocity profile for the viscous sub-layer is obtained as much; like for the inertial sub-layer. The fluid displays a transition of second order that is pronounced, at level macro, as a jump of discontinuity of the Reynolds stress in as much parameter of order, with rupture of the symmetry; and at micro level, as a jump in the index of occupation of the space. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/1421 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/1421 |
| Palabra clave: | Reynolds equations and stress boundary layer viscous layer Prandtl’s model, fractional derivatives inverse problem Camassa-Holm equation second-order transition order parameter Ecuaciones y esfuerzos de Reynolds subcapas viscosa e inercial modelo de Prandtl derivada fraccional problema inverso ecuación de Camassa-Holm transiciones de segundo orden parámetro de orden |