Skip to main content
SpringerLink
Log in

Laminar, turbulent, and transition flow in porous sintered media

  • Published:
Meccanica Aims and scope Submit manuscript

Sommario

Si presentano i risultati di una ricerca sperimentale sul moto di filtrazione in regime laminare, di transizione e turbolento attraverso filtri metallici di bronzo sinterizzato.

Assumendo la radice quadrata della permeabilità quale dimensione caratteristica degli elementi porosi, tutti i risultati ottenuti — sperimentando sia con aria che con acqua — vengono correlati in funzione del fattore di attrito e del numero di Reynolds, con un unico valore della costante caratteristica dei mezzi porosi.

Summary

The results of an experimental research on laminar, transition and turbulent flow through sintered bronze metallic filters are here reported.

Assuming the square root of the permeability as characteristic dimension of the porous media, all the experimental results — obtained either with air or with water as working fluid — are presented on a plot of the friction factor versus the Reynolds number.

A unique value of the characteristic constant allows a good fit for both fluids.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Abbreviations

A :

cross-sectional area of porous element

c :

dimensionless coefficient

D :

diameter of porous element

d a :

mean particle diameter

f k :

dimensionless friction factor for porous media

k :

permeability of porous element

L :

thickness of porous element

Δp/Δx :

axial pressure gradient

p 1 :

upstream pressure

p 2 :

downstream pressure

\(\bar p\) :

(p 1+p 2)/2 mean pressure

Q :

volumetric flow rate

\(\bar Q\) :

volumetric flow rate at mean pressure\(\bar p\)

R k :

Reynolds number for porous media

S :

filtration threshold of porous element

V :

mean filter velocity

x :

axial coordinate

μ :

absolute viscosity

e :

density.

References

  1. A. Gallo, andG. F. Bocchini,I diversi aspetti della permeabilità dei materiali sinterizzati — Parte III:i filtri a grani sferici, a porosità controllata, Ingegneria Meccanica, anno XXIII, aprile 1974, pp. 13–20.

  2. M. Muskat,The flow of homogeneous fluids through porous media, McGraw-Hill, New York, 1937.

    Google Scholar 

  3. J. C. Ward,Turbulent flow in porous media, Jl. of Hydraulics Division, Proceedings of the American Society of Civil Engineers, vol. 90, HY5, 1964, pp. 1–12.

    Google Scholar 

  4. G. S. Beavers, andE. M. Sparrow,Non-Darcy flow through fibrous porous media, Jl. of Applied Mechanics, vol. 36, No. 4 Trans. ASME, vol. 91, Series E, 1969, pp. 711–714.

  5. G. S. Beavers, E. M. Sparrow, D. E. Rodenz,Influence of hed size on the characteristics and porosity of randomly packed beds of spheres, Jl. of Applied Mechanics, Trans. ASME, Sept. 1973, pp. 655–660.

  6. J. Schwartz, andR. F. Probstein,Experimental study of slurry separators for use in desalination, Desalination, vol. 6, 1969, pp. 239–266.

    Google Scholar 

  7. P. C. Carman,L'écoulement des gaz à travers les milieux poreux, Presses Universitaires de France, Paris, 1961.

    Google Scholar 

  8. W. H. Cremer, T. Davies,Chemical Engineering practice, vol. 2, Butterworths Scientific Publications, London 1956.

    Google Scholar 

  9. V. I. Aravin, andS. N. Numerov,Theory of fluid flow in undeformable porous media, Israel Program for Scientific Translation, Jersualem, 1965.

    Google Scholar 

  10. W. T. Johnson, D. B. Taliaferro,Flow of air and natural gas through porous media, United States Department of the Interior, Bureau of Mines, Technical Paper 592, 1938.

  11. V. T. Morgan,Permeability of porous metals, Symposium sur la Métallurgie des poudres, Paris 1964.

    Google Scholar 

  12. R. J. M. De Wiest,Flow through porous media, Academic Press, New York and London, 1969.

    Google Scholar 

  13. D. F. Harleman, P. F. Mehlhorn, andR. R. Rumer,Dispersion-permeability correlation in porous media, Jl. of Hydraulics Division, Proceedings of the American Society of Civil Engineers, vol. 89, HY2, 1963, pp. 67–85.

    Google Scholar 

  14. British Standard, 1752: 1963,Specification for laboratory sintered or fritted filters, British Standards Institution, London, 1963.

    Google Scholar 

  15. A. Lorenzi, andA. Trucco Martinengo,Sull'impiego di un misuratore di portata, di tipo lineare, per liquidi, Pubblicazioni dell'Istituto di Fisica Tecnica e Impianti Termotecnici, Genova,FTP-19, 1974.

  16. E. G. W. Lindquist,Formal discussion of reference [3],Jl. of Hydraulics Division, Proceedings of the American Society of Civil Engineers, Vol. 91, HY3, 1965, pp. 325–330.

    Google Scholar 

  17. S. Irmay,On the theoretical derivation of Darcy and Forchheimer formulas, Transaction, American Geophysical Union, vol. 39, 1958, pp. 702–707.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica Tecnica e Impianti Termotecnici della università degli Studi di Genova, Facoltà di Ingegneria, Italy

    Antonio Lorenzi

Authors
  1. Antonio Lorenzi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lorenzi, A. Laminar, turbulent, and transition flow in porous sintered media. Meccanica 10, 75–77 (1975). https://doi.org/10.1007/BF02314743

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02314743

Keywords

Search

Navigation