Skip to main content
SpringerLink
Log in

Laminar flow of a viscous incompressible liquid over the surface of solids of revolution

  • Published:
Journal of engineering physics Aims and scope

Abstract

The laminar flow of a viscous incompressible liquid over the surface of stationary solids of revolution is examined for the case of circular inflow of the stream.

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

Similar content being viewed by others

Abbreviations

v1, vη :

velocity projections

ρ :

density of the liquid

ν :

kinematic viscosity coefficient of liquid

R:

radius of curvature of surface of the body in the flow

δ :

thickness of boundary layer

u0 :

rate of inflow of stream

r:

current radius

Q:

total flow rate

r0 :

radius of contact line (circle)

δ0 :

thickness of layer at contact line

h:

thickness of layer

rc :

radius of stream

rmin :

radius at which layer thickness is minimal

hmin :

minimum thickness of layer

2α:

angle at apex of conical packing

ϕ :

current angle

ε, t, α:

parameters of the ellipse

rs :

conjugate line radius of plane circular torus

Literature cited

  1. A. D. Glinkin, “Removing droplets and dust from a gas-air stream in an apparatus with nozzle-disk devices,” Summary of Documents of the Conference “Methods of Removing Hazardous Substances from Emissions and Industrial Discharges,” Dzerhinsk (1967), pp. 235–242.

  2. A. D. Glinkin, Spray Disk, Inventor's Certificate No. 126691, Byull. Izobret., No. 5 (1960).

  3. V. V. Antonov, V. I. Trifonov, A. D. Glinkin, and N. V. Tyabin, “Removing dust from blower air in foundries,” Tr. Kazan. Khim. Tekhnol. Inst.,47, 96–102 (1971).

    Google Scholar 

  4. V. V. Antonov, V. A. Rukavishnikov, and A. D. Glinkin, “Some results of spray dustcatcher operation,” in: Machines and Equipment in Chemical Engineering [in Russian], Vol. 4, Kazan (1976), pp. 35–37.

  5. A. D. Glinkin, V. A. Rukavishnikov, V. A. Antonov, and N. A. Gazizullin, “On the problem of removing dust from blower air in foundries,” Summary of Documents of the Scientific Conference “Cleaning Blower Emissions and Protecting the Air Basin from Pollution,” RESI (Rostov-on-the-Don Construction Engineering Institute), Rostov-on-the-Don (1977), pp. 55–56.

  6. V. V. Antonov, V. N. Romanov, A. D. Glinkin, N. V. Tyabin, and A. V. Chekov, “Results of a study of a KKhTI (Kazan Institute of Chemical Technology) unit for ridding gas streams of sulfuric acid mist,” Tr. Kazan. Tekhnol.,47, 103–106 (1971).

    Google Scholar 

  7. A. D. Glinkin and N. V. Tyabin, “Movement of a viscous liquid flow over the surface of a stationary flat disk,” Tr. Kazan. Khim. Tekhnol.,31, 46–51 (1963).

    Google Scholar 

  8. A. D. Glinkin and N. V. Tyabin, “Pressure in a liquid flow during movement over a disk,” Tr. Kazan. Khim. Tekhnol.,31, 52–54 (1963).

    Google Scholar 

  9. A. D. Glinkin, N. V. Tyabin, and V. V. Antonov, “Flow of a viscous liquid stream over the surface of a stationary conical disk,” Tr. Kazan. Khim. Tekhnol.,37, 139–149 (1968).

    Google Scholar 

  10. A. D. Glinkin, V. V. Antonov, N. V. Tyabin, and V. I. Trifonov, “Flow of a viscous liquid stream over a spherical surface,” Tr. Kazan. Khim. Tekhnol.,43, Pt. 2, 186–190.

  11. V. V. Antonov, A. D. Glinkin, V. I. Trifonov, and N. V. Tyabin, “Flow of a thin layer of liquid over the surface of solids of revolution,” Tr. Kazan. Khim. Tekhnol.,47, 107–112 (1971).

    Google Scholar 

  12. V. A. Rukavishnikov, A. D. Glinkin, and V. V. Antonov, “Flow of a layer of liquid over the surface of a conical torus,” in: Machines and Equipment in Chemical Engineering [in Russian], Vol. 4, Kazan (1976), pp. 53–55.

    Google Scholar 

  13. A. D. Glinkin, V. A. Rukavishnikov, N. V. Tyabin, and Zh. Sh. Shaikhutdinov, “Laminar flow of a liquid over the surface of complex solids of revolution,” in: Machines and Equipment in Chemical Engineering [in Russianl], Vol. 4, Kazan (1976), pp. 55–58.

    Google Scholar 

  14. E. I. Watson, “The radial spread of a liquid jet over a horizontal plane,” J. Fluid Mech.,20, Pt. 3, 481–499 (1964).

    Google Scholar 

  15. A. A. Koptev and V. A. Yurchenko, “Movement of a thin layer of liquid over the surface of a stationary disk,” Trudy TIKhM,2, 171–176 (1968).

    Google Scholar 

  16. V. E. Nakoryakov, B. G. Pokusaev, E. N. Troyan, and S. V. Alekseenko, “Flow of thin films of liquid,” in: Wave Processes in Two-Phase Systems [in Russian], Novosibirsk (1975), pp. 129–206.

  17. N. A. Slezkin, Dynamics of a Viscous Incompressible Liquid [in Russian], GITTL (1953).

  18. V. M. Belyakov et al., Tables of Elliptic Integrals [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).

    Google Scholar 

  19. M. Shuller and Kh. Gebelein, Tables of Elliptic Functions [in Russian], Izd. VTs Akad. Nauk SSSR, Moscow (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. S. M. Kirov Kazan' Institute of Chemical Technology, USSR

    A. D. Glinkin & V. A. Rukavishnikov

Authors
  1. A. D. Glinkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Rukavishnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 57–63, July, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glinkin, A.D., Rukavishnikov, V.A. Laminar flow of a viscous incompressible liquid over the surface of solids of revolution. Journal of Engineering Physics 39, 754–759 (1980). https://doi.org/10.1007/BF00821829

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00821829

Keywords

Search

Navigation