In this work the study of the hydrodynamic process, realized when a viscous fluid is drain from a triangular tank with simultaneous filling of a rectangular tank in a plane approximation, was carried out. The flow is described system of equations which is composed of Navier-Stokes equations and continuity equation in dimensionless variables. On the solid wall the no-slip conditions are specified. On free surfaces, the continuity conditions for normal and tangential stresses are satisfied. At the initial moment of time the fluid in drain tank is located. At the moment when the free surface reaches the level of the drain orifice, the drain tank is again considered to be filled of fluid. According to this a continuous drain process is carried out until the lower tank is completely filled without gas breakthrough from of the drain tank. The formulated problem is solved numerically using the PLIC VOF method. Parametric studies of this process were conducted. Different regimes of free surfaces formation for both the draining process and the filling process have been identified depending on the values of the determining parameters. The distribution of the kinematic characteristics of the flow is obtained.
In this paper, the steady-state flow of non-Newtonian fluid in a planar channel with sudden expansion is investigated. The rheological behavior of this media is described by the Herschel-Bulkley model. To determine both steady-state velocity and pressure fields, a numerical algorithm based on the relaxation method and SIMPLE procedure is used.The mathematical problem statement includes three non-dimensional parameters: the Reynolds number, the Bingham number (non-dimensional viscoplasticity parameter), and the power-law index. The results of numerical simulation are obtained in a range of the Reynolds number 1 ≤ Re ≤ 40, Bingham number 0 ≤ Se ≤ 2, and power-law index 0.4 ≤k ≤ 2 (for shear thinning, Newtonian, and shear thickening fluids).The distribution of the main fluid flow characteristics and localization of the two-dimensional region in an expansion zone is presented. The impact of main parameters of the problem on a dead zone distribution in the fluid flow is shown.
1Исследуется установившееся течение неньютоновской жидкости в плоском канале с внезапным расширением. Реологическое поведение среды описыва-ется моделью Балкли -Гершеля. Для нахождения стационарных полей ско-рости и давления используется численный алгоритм, в основе которого ле-жат метод установления и процедура SIMPLE. С целью ускорения расчета применяется технология параллельных вычислений MPI. Приводятся рас-пределения основных характеристик потока с выделением зоны двумерного течения в области скачка сечения. Показано влияние основных параметров задачи на картину распределения квазитвердых ядер в потоке жидкости.Ключевые слова: течение жидкости, канал с внезапным расширением, численное моделирование, модель Балкли -Гершеля, квазитвердые ядра.
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