منابع مشابه
Numerical approximation of viscoelastic Oldroyd-B flows in curved pipes
The aim of this paper is to study a finite element numerical approximation of steady flows of an incompressible viscoelastic Oldroyd-B fluid in curved pipes of arbitrary cross-section and curvature ratio. Using rectangular toroidal coordinates, existence and uniqueness of approximated solutions are proved as well as a priori error estimates, under a natural restriction on the pipe curvature ratio.
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A finite-difference procedure is employed to predict the development of turbulent flow in curved pipes. The turbulence model used involves the solution of two differential equations, one for the kinetic energy of the turbulence and the other for its dissipation rate. The predicted total-velocity contours for the developing flow in a 180’ bend are compared with the experimental data. Predictions...
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The study of creeping motion of viscoelastic fluid around a rotating rigid torus is investigated. The problem is solved within the frame of slow flow approximation. The equations of motion governing the first and second-order are formulated and solved for the first-order only in this paper. However, the solution of the second-order equations will be the subject of a part two of this series of p...
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New exact solutions, obtained for centrifugal convection of a compressible fluid in pipes and annular pipes, explain axially elongated counterflow and energy separation—poorly understood phenomena occurring in vortex devices, e.g., hydrocyclones and Ranque tubes. Centrifugal acceleration ~which can be up to 10 times gravity in practical vortex tubes!, combined with an axial gradient of temperat...
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A theoretical analysis is presented of viscous incompressible laminar flow in a pipe which rotates around an axis held at small angle with respect to its symmetry-axis. Analogous to the results of Barua and Benton [1, 2], solutions in closed-form are given for circulatory flows in the crosssectional plane of the pipe due to Coriolis forces in combination with Hagen-Poiseuille flow through the p...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2006
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.2336454