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The method of fundamental solutions for stationary flow through an axisymmetric cylindrical fibrous filter

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A problem of steady-state incompressible fluid flow through a fibrous cylindrical filter is considered. The pressure field is obtained by applying the method of fundamental solutions which gives continuous function in the filter region. The components of filtration velocity are calculated from the appropriate derivatives. In numerical examples, various types of the filter are considered and some computational issues are discussed. A simple algorithm for achieving the optimal pseudo-boundary location is used, within the framework of the method of fundamental solutions, by minimizing the maximum absolute boundary error. Optimization results for various numbers of source points and collocation points are compared. The variation of total discharge with the inlet size is shown.
Rocznik
Strony
469--483
Opis fizyczny
Bibliogr. 13 poz., rys., tab.
Twórcy
  • Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland
  • Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland
Bibliografia
  • 1. Dunnett S.J., Clement C.F., 2006, A numerical study of the effects of loading from diffusive deposition on the efficiency of fibrous filters, Aerosol Science, 37, 1116-1139
  • 2. Happel J., 1959, Viscous flow relative to arrays of cylinders, AIChE Journal, 5, 174-177
  • 3. Karageorghis A., 2009, A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions, Advances in Applied Mathematics and Mechanics, 1, 510-528
  • 4. Karageorghis A., Fairweather G., 1998, The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems, Journal Acoustical Society of America, 104, 3212-3218
  • 5. Karageorghis A., Fairweather G., 1999, The Method of Fundamental Solutions for axisymmetric potential problems, International Journal for Numerical Methods in Engineering, 44, 1653-1669
  • 6. Karageorghis A., Fairweather G., 2000, The Method of Fundamental Solutions for axisymmetric elasticity problems, Computational Mechanics, 25, 524-532
  • 7. Kołodziej J.A., Dzięcielak R., Kończak Z., 1998, Permeability tensor for heterogeneous porous medium of fibrous type, Transport in Porous Media, 32, 1-19
  • 8. Kolodziej J.A, Zielinski A.P., 2009, Boundary Collocation Techniques and their Application in Engineering, WIT Press, Southampton
  • 9. Kuwabara S., 1959, The forces experienced by randomly distributed parallel circular cylinder or spheres in viscous flow at small Reynolds numbers, Journal of Physical Society of Japan, 14, 527-532
  • 10. Rahli O., Tadrist L., Miscevic M., 1996, Experimental analysis of fibrous porous media permeability, AIChE Journal, 42, 3547-3549
  • 11. Ramachandran P.A., Gunjal P.R., 2009, Comparison of boundary collocation methods for singular and non-singular axisymmetric heat transfer problems, Engineering Analysis with Boundary Elements, 33, 704-716
  • 12. Uściłowska A., Kołodziej J.A., 2006, Solution of the nonlinear equation for isothermal gas flows in porous medium by Trefftz method, Computer Assisted Mechanics and Engineering Science, 13, 445-456
  • 13. Zeng Z-W., Grigg R., 2006, A criterion for non-Darcy flow in porous media, Transport in Porous Media, 63, 57-69
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ca7bbe84-2dc3-4b47-b5fe-1f71d36be109
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