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Rheologica Acta

, Volume 6, Issue 4, pp 323–330 | Cite as

A stress-controlled drag-reduction phenomenon

  • J. G. Savins
Article

Abstract

An unusual stress controlled turbulent flow phenomenon observed in aqueous solutions of some derivatives of an unsaturated 18 carbon atom fatty acidis described. Some other unusual viscometric and rheogoniometric properties of these solutions are also discussed.

Keywords

Polymer Aqueous Solution Carbon Atom Flow Phenomenon Unusual Stress 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Symbols

D

tube diameter

f

friction factor

J0

observed pressure gradient for soap-free solution

Jp

observed pressure gradient for soap solution

K

parameter in eq. [9]

L

tube length

M

thrust

n

parameter in eq. [9]

P11,P22

components of the deviatoric normal stresses parallel to the streamlines and normal to the shearing surfaces, respectively

Q

volumetric flow rate

r

radial coordinate

R

tube radius

Re

Reynolds number =DV/v

s

slip velocity, defined by eq. [6]

uz(r)

velocity component

V

bulk average velocity

z

distance along axial coordinate

Greek letters

γ

local shear rate

ζw)

slip coefficient, defined by eq. [6]

θ

parameter in eq. [10]

v

kinematic viscosity of soap-free solution

ξ

reduced radius defined byξ = r/Rπ = 3.1416

ϱ

fluid density

σ

parameter in eq. [10]

Τ,Τ12

local shear stress

Τw

shear stress evaluated at tube wall

(Τw)c

critical shear stress corresponding to maximum drag reduction

Τ11,Τ22

total normal stress components parallel to the streamlines and normal to the shearing surfaces, respectively

ψ1

function defined by eq. [13]

ψ2

function defined by eq. [14]

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References

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Copyright information

© Dr. Dietrich Steinkopff Verlag 1967

Authors and Affiliations

  • J. G. Savins
    • 1
  1. 1.Field Research LaboratoryMobil Oil CorporationDallasUSA

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