Skip to main content
Log in

Model of formation of inner nanolayers in shear flows of material

  • Short Communications
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

We consider a mathematical model for the formation of internal nanocrystal layers in shear flows of material, which is based on the evolution of the Kelvin-Helmholtz instability. The dispersion relation is derived for the linear interaction between finite layers of ideal and viscous fluids. Analysis of the dispersion equation shows that viscosity and thickness of a moving layer play a decisive role in the formation of nanosize waves.

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.

References

  1. A. A. Deribas, Physics of Strengthing and Welding by Explosive (Nauka, Novosibirsk, 1980).

    Google Scholar 

  2. I. M. Neklyudov, B. V. Borts, and V. I. Tkachenko, Fiz. Khim. Obrab. Mater., No. 5, 96 (2010).

    Google Scholar 

  3. S. Yu. Tarasov and V. E. Rubtsov, Phys. Solid State 53, 358 (2011).

    Article  ADS  Google Scholar 

  4. A. Ya. Bagautdinov, Yu. F. Budovskikh, Yu. F. Ivanov, and V. E. Gromov, Physical Grounds of Electric-Explosive Doping of Metals and Alloys (Sib. Gos. Ind. Univ., Novokuznetsk, 2007).

    Google Scholar 

  5. G. E. Konokova and K. V. Pokazaev, Dynamics of Sea Waves (Mosk. Gos. Univ., Moscow, 1985).

    Google Scholar 

  6. O. A. Tsvirkun, “Formation of nanocomposite layers on iron and nickel surfaces during electric-explosive doping,” Candidate’s Dissertation (Novokuznetsk, 2007).

    Google Scholar 

  7. V. D. Sarychev, A. Yu. Granovskii, S. N. Starovatskaya, and V. E. Gromov, Izv. Vyssh. Uchebn. Zaved., Chern. Metall., No. 6, 87 (2012).

    Google Scholar 

  8. V. D. Sarychev, E. S. Vashchuk, E. A. Budovskikh, and V. E. Gromov, Tech. Phys. Lett. 36, 656 (2010).

    Article  ADS  Google Scholar 

  9. T. Funada and D. D. Joseph, J. Fluid Mech. 445, 263 (2001).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. A. Basset, Treatise on Hydrodynamics with Numerous Examples (Bell, Cambridge, 1888), Vol. 2.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Yu. Granovskii.

Additional information

Original Russian Text © A.Yu. Granovskii, V.D. Sarychev, V.E. Gromov, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 10, pp. 155–158.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Granovskii, A.Y., Sarychev, V.D. & Gromov, V.E. Model of formation of inner nanolayers in shear flows of material. Tech. Phys. 58, 1544–1547 (2013). https://doi.org/10.1134/S1063784213100113

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784213100113

Keywords

Navigation