A NUMERICAL-SIMULATION OF THE AXISYMMETRICAL VORTEX BREAKDOWN IN A TUBE

Date

1992-08-01

Author

Aksel, Mehmet Haluk
KAYA, MT

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

181
views

0
downloads

The axisymmetric vortex breakdown of a laminar, incompressible, viscous, and swirling flow in a cylindrical tube is simulated. The numerical solutions of the time-dependent axisymmetric angular momentum and the vorticity transport equations are obtained by using the finite element method. Linear and quadratic isoparametric elements are used for the space discretization, while the leapfrog time integration scheme is employed for the time discretization. The iteration process is started with the numerical solution of the linearized equations as the Reynolds number approaches zero. As the Reynolds number is changed, the numerical solution proceeds from one steady state to another. The numerical solutions are obtained for different initial velocity profiles and a range of Reynolds numbers and swirl ratios. The numerical solutions ar, compared with experimental data and prior finite difference studies.

Subject Keywords

Vortex breakdown, Finite element method, Navier-stokes equations

URI

https://hdl.handle.net/11511/53319

Journal

APPLIED MATHEMATICAL MODELLING

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

A normalized set of force and permeance data for doubly-salient magnetic geometries Mahariq, İbrahim; Ertan, Hulusi Bülent; Department of Electrical and Electronics Engineering (2009) In this study, a model is developed to represent doubly-salient magnetic circuits and to fit finite element analysis for the aim of obtaining a set of normalized normal force, tangential force, and permeance variation data. To obtain the desired data FE field solution method is used. The reliability of finite element results have been verified by three steps; first, comparing the numerical results with analytically calculated permeance, second, by solving two switch reluctance motors and comparing the resul...
A numerical study of solidification and viscous dissipation effects on polymer melt flow in plane channels Tutar, Mustafa; Karakuş, Ali (Walter de Gruyter GmbH, 2013-04-01) The combined effects of solidification and viscous dissipation on the hydrodynamic and thermal behavior of polymer melt flow during the injection process in a straight plane channel of constant cross section are numerically studied by considering the shear-rate and temperature-dependent viscosity and transient-phase change behavior. A numerical finite volume method, in conjunction with a modified form of the Cross constitutive equation to account for shear rate, temperature-dependent viscosity changes and a...
Numerical analysis of thermo-mechanical behavior in flow forming Günay, Enes; Fenercioglu, Tevfik Ozan; Yalçınkaya, Tuncay (2021-01-01) Flow forming is a metal forming process for cylindrical workpieces where high velocity deformation leads to radial thinning and axial extension. In the current study, a thermomechanical, dynamic and explicit finite element model of a flow forming process is developed on ABAQUS software. The model is validated through the comparison of reaction forces and geometry obtained from the experiments. Coolant convection effect is analyzed in conjunction with roller and mandrel conduction cooling to study the therma...
A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems Türk, Önder; Boffi, Daniele; Codina, Ramon (2016-10-01) In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems is considered for both the two field (displacement pressure) and the three-field (stress displacement pressure) formulations. The method presented is based on a subgrid scale concept, and depends on the approximation of the unresolvable scales of the continuous solution. In general, subgrid scale techniques consist in the addition of a residual based term to the basic Galerkin formulation. The application of a stand...
A Domain Decomposition Finite-Element Method for Modeling Electromagnetic Scattering From Rough Sea Surfaces With Emphasis on Near-Forward Scattering ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (Institute of Electrical and Electronics Engineers (IEEE), 2019-01-01) A high-fidelity full-wave simulator is presented to perform numerical experiments for rough sea scattering problem by considering different polarizations, frequencies, grazing angles, wind speeds, and sea surface spectra. The simulator is based on a novel finite-element domain decomposition (FEDD) method for solving the problem of 2-D electromagnetic scattering over 1-D sea surface. This noniterative method partitions the computational domain into a number of overlapping subdomains and solves each domain in...

Citation Formats

M. H. Aksel and M. KAYA, “A NUMERICAL-SIMULATION OF THE AXISYMMETRICAL VORTEX BREAKDOWN IN A TUBE,” APPLIED MATHEMATICAL MODELLING, pp. 414–422, 1992, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53319.