Skip to main content
Log in

Dusty viscous flow through a cylinder of triangular cross-section

  • Published:
Proceedings of the Indian Academy of Sciences - Mathematical Sciences Aims and scope Submit manuscript

Abstract

Unsteady laminar flow of a dusty viscous, incompressible fluid through a cylindrical tube of triangular cross-section is considered in two cases: (i) when the pressure gradient varies harmonically with time and (ii) when it varies exponentially. The velocity fields for the fluid and dust particles have been determined. Flux and skin-friction drag on the walls of the cylinder have been calculated and particular cases discussed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gradshteyn I S and Ryzhik I M 1965Tables of Integrals Series and Products (Academic Press) p. 7

  2. Mathur A K, Sacheti N C and Bhatt B S 1976The Math. Ed. 10 1 (Sec. A) p. 1.

    Google Scholar 

  3. Michael D H 1965Proc. Cambridge Philos. Soc. 61 569

    Article  MathSciNet  Google Scholar 

  4. Michael D H and Miller D A 1966Mathematika 13 97

    Article  MATH  Google Scholar 

  5. Michael D H and Norey P W 1968Q. J. Mech. Appl. Math. 21 375

    Article  MATH  Google Scholar 

  6. Newal Kishore and Pandey R D 1977Proc. Indian Acad. Sci. A85 299

    MATH  Google Scholar 

  7. Saffman P G 1962J. Fluid Mech. 13 120

    Article  MATH  MathSciNet  Google Scholar 

  8. Sambasiva Rao P 1969Def. Sci. J. 19 135

    Google Scholar 

  9. Sambasiva Rao P 1973Def. Sci. J. 23 109

    MATH  Google Scholar 

  10. Tewari V D and Bhattacharjee S 1972J. Sci. Res. Banaras Hindu Univ. 23 145

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rukmangadachari, E., Arunachalam, P.V. Dusty viscous flow through a cylinder of triangular cross-section. Proc. Indian Acad. Sci. (Math. Sci.) 88, 169–179 (1979). https://doi.org/10.1007/BF02871614

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02871614

Keywords

Navigation