Skip to main content
SpringerLink
Log in

Thickness of the elastic sublayer in the velocity field of diluted polymeric solutions

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Results from a series of Theological and pipe flow experiments using watersoluble hydroxyethylcellulose and polyethyleneoxide are presented. Phenomena of drag reduction were investigated for values of concentration (in weight) of polymers in water ranging x = 10-4 to x = 5 · 10-3. Velocity measurements by using a laser-Doppler anemometer to type DISA-Mark II served for determining the variation in thickness of the elastic sublayer in the turbulent flow exhibiting drag reduction.

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

A :

coefficient in Eq. (1)

B :

coefficient in Eq. (1)

D :

pipe diameter

D:

shear velocity

K :

consistency parameter in Eq. (5)

n :

flow index of non-newtonian fluids

r :

radial distance from the pipe center

Re :

Reynolds number

R :

pipe radius

y :

distance from the pipe wall

y + :

dimensionless distance from the pipe wall, (R-r)u * ϱ/μ

y e + :

experimental value of the dimensionless thickness of the viscous and elastic sublayer

y s + :

dimensionless thickness of the viscous and the elastic sublayer

u + :

dimensionless local velocity, ΰ/*

u * :

dynamic friction velocity, w(λ/8) o.5

ΰ :

time-averaged local instantaneous velocity of flow

w :

average velocity over the cross-section of the pipe

X :

weight fraction of polymer in water solution

μ :

viscosity

λ :

fraction factor

ϱ :

density

v :

kinematic viscosity

τ :

shear stress

References

  • Brodkey, R. S. 1967: The phenomena of fluid motions, p. 251. Massachusetts: Addison — Wesley P.C.

    Google Scholar 

  • Berman, N. S. 1978: Drag reduction of polymers. Annu. Rev. Fluid Mech. 10, 47–64

    Google Scholar 

  • Kowase, Y.; Ulbrecht, J. J. 1983: Turbulent heat and mass transfer in non-newtonian pipe flow: A model based on the surface renewal concept. Int. J. Phys. Chem. Hydrodyn. 4, 351–388 (Special issue 4th int. conf. physiochem. hydrodynamics)

    Google Scholar 

  • Lodes, A. 1980: Stochastic and erodic properties of laser-Doppler signal sets averaging by the Pearson distribution. Proc. 6th symp. LDA. Bratislava: CHTF 382–01, pp. 79–96

    Google Scholar 

  • Lodes, A.; Lodesová, D. 1986: Inner structure of turbulent drag reduction flow. Proc. 5th YAI ehem. eng. conf., Portorož, CSSR, pp. 131–138

  • Lodes, A.; Zaliberová, A.; Hudáčková, H. 1981: The influence of polymer additive on velocity distribution in the transition region of flow. Proc. conf. rheology of fluids in industrial praxis, Velké Karlovice, CSSR, pp. 177–182

  • Lodes, A.; Dúbrava, L.; Zaliberová, A. 1982: Determination of turbulent characteristics from the LDA data with noisy signals. Proc. 7th symp. LDA. Bratislava: CHTF 382–02, pp. 31–38

    Google Scholar 

  • Lumley, J. L. 1969: Drag reduction by additives. Annu. Rev. Fluid Mech. 1, 367–383

    Google Scholar 

  • Lumley, J. L. 1977: Drag reduction in the two phase and polymer flows. Phys. Fluids 20, 64–71

    Google Scholar 

  • Mizushina, T.; Usui, H. 1977: Reduction of eddy diffusion for momentum and heat in viscoelastic fluid flow in a circular tube. Phys. Fluids. 20, 100–108

    Google Scholar 

  • Pollert, J. 1986: Today and future possibilities of industrial applications of drag reduction. In: The influence of polymer additives on velcoity and temperature fields (ed. Gampert, B.), pp. 371–395. Proc. IUTAM-symp., Essen, FRG, 1984. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Schowalter, W. R. 1978: Mechanics of non-newtonian fluids, p. 244. Oxford: Pergamon Press

    Google Scholar 

  • Sedov, L. I.; Iosolevich, V. A.; Pilipenko, V. N.; Vasetskaya, N. G. 1979: Turbulent diffusion and degradation of polymer molecules in a pipe and boundary layer. J. Fluid Mech. 94, 561–576

    Google Scholar 

  • Virk, P. S. 1971: An elastic sublayer model for drag reduction by dilute solutions of linear macromolecules. J. Fluid Mech. 45, 417–437

    Google Scholar 

  • Virk, P. S. 1975: Drag reduction fundamentals. AIChE J. 21, 625–656

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Polymer and Fiber Chemistry, Faculty of Chemical Technology, Radlinského 9, CS-812 37, Bratislava, CSSR

    D. Lodesová

  2. Department of Chemical Engineering, Faculty of Chemical Technology, Radlinského 9, CS-812-37, Bratislava, CSSR

    A. Lodes

Authors
  1. D. Lodesová
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Lodes
    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

Lodesová, D., Lodes, A. Thickness of the elastic sublayer in the velocity field of diluted polymeric solutions. Experiments in Fluids 7, 379–382 (1989). https://doi.org/10.1007/BF00193418

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00193418

Keywords

Search

Navigation