Skip to main content
SpringerLink
Log in

Laminar Heat Transfer in a Liquid Flowing in a Diverging Conical Annular Channel with a Varied Inner-Wall Temperature

  • Published:
Theoretical Foundations of Chemical Engineering Aims and scope Submit manuscript

Abstract

The problem of convective heat transfer in a divergent slow liquid flow in a constant-width conical annular channel is analyzed for the case of first-kind thermal boundary conditions and linear variation of the inner-wall temperature along the channel length. The problem is solved by eigenfunction-series expansion. The spatial distribution of temperature is represented as the sum of two infinite series in confluent hypergeometric functions of the transverse coordinate that are multiplied by an exponential function of the axial coordinate and the angular opening of the cone. The solution is interesting in that it is the superposition of two solutions, each having its own eigenfunctions and eigenvalues.

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

REFERENCES

  1. Joshi, M.V., Dies for Plastics Extrusion, Delhi: Macmillan, 1984, p. 176.

    Google Scholar 

  2. Sors, L., Bardocz, L., and Radnoti, I., Plastic Molds and Dies, Budapest: Akademiai Kiado, 1980, p. 495.

    Google Scholar 

  3. Ul'ev, L.M., Slow Flow between Coaxial Conical Surfaces, Inzh.-Fiz. Zh., 1998, vol. 71, no. 6, p. 1092.

    Google Scholar 

  4. Ul'ev, L.M., Slow Flow between Coaxial Conical Surfaces, Vestn. Kharkov. Politekh. Univ., Mekh. Mashinostroenie, 1997, issue 7, part 2, p. 22.

  5. Ul'ev, L.M., Heat Exchange during a Slow Flow of a Liquid between Coaxial Conical Surfaces, Teor. Osn. Khim. Tekhnol., 2000, vol. 34, no.1, p. 16.

    Google Scholar 

  6. Ul'ev, L.M., Nonisothermal Flow of Thermoplastic Polymer Melts in Conical-Cylindrical Spinnerets, Teor. Osn. Khim. Tekhnol., 1996, vol. 30, no. 6, p. 583.

    Google Scholar 

  7. Ponomarenko, V.G., Potebnya, G.F., Ul'ev, L.M., et al., Study of the Rheological Properties of High-Viscosity Liquids by Means of an Automated Capillary Viscosimeter, Inzh.-Fiz. Zh., 1990, vol. 59, no. 1, p. 158.

    Google Scholar 

  8. Tadmor, Z. and Gogos, C.G., Principles of Polymer Processing, New York: Wiley, 1979. Translated under the title Teoreticheskie osnovy pererabotki polimerov, Moscow: Khimiya, 1984.

    Google Scholar 

  9. Gol'din, A.M. and Karamzin, V.A., Gidrodinamicheskie osnovy protsessov tonkosloinogo separirovaniya (Hydrodynamic Foundations of Thin-Layer Separation), Moscow: Agropromizdat, 1985, p. 264.

    Google Scholar 

  10. Lykov, A.V., Teplomassoobmen (Heat and Mass Transfer), Moscow: Energiya, 1972, p. 560.

    Google Scholar 

  11. Ladyzhenskaya, O.A., Kraevye zadachi matematicheskoi fiziki (Boundary Problems in Mathematical Physics), Moscow: Nauka, 1973, p. 408.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kharkov State Polytechnical University, ul. Frunze 21, Kharkov, 310002, Ukraine

    L. M. Ul'ev

Authors
  1. L. M. Ul'ev
    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

Ul'ev, L.M. Laminar Heat Transfer in a Liquid Flowing in a Diverging Conical Annular Channel with a Varied Inner-Wall Temperature. Theoretical Foundations of Chemical Engineering 35, 28–38 (2001). https://doi.org/10.1023/A:1005212601016

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005212601016

Keywords

Search

Navigation