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Measurements of the velocity distribution in a plane turbulent jet of air

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Summary

The present paper deals with the velocity distribution across a plane jet of air issuing with a discharge velocity of 4000 cm s−1 from a slit of 0.5 cm × 10 cm into still air, and across a plane jet of air issuing with a discharge velocity of 2000cms−1 from a slit of 1 cm × 25 cm into still air. In both cases the Reynolds number amounted to 13 300. After a survey of the relevant theories, experiments of other investigators are reviewed. The paper then describes the experimental equipment and the experiments performed. From these experiments three characteristic quantities have been derived: the turbulent shear stress, the coefficient of turbulent momentum exchange, and the mixing length.

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Abbreviations

a :

constant

A :

constant

c :

constant

f :

function

f 1 :

correction factor for total-head reading

f 2 :

correction factor for total-head reading

F 0 :

surface area of a slit

F 1 :

cross-sectional area of a tube

h :

height of a slit

k :

constant

l :

mixing length

L :

length of a slit

p :

local velocity head in the jet

p 1 :

static pressure excess in the tube upstream of a slit

p m :

total-head in the axis of a jet

p z :

total-head at a distance Z from the axis of the jet

u :

axial velocity fluctuation

u′:

root-mean-square of\(u = \sqrt {\overline {u^2 } } \)

U :

time-mean axial velocity

U m :

time-mean velocity in the axis of a jet

U 0 :

discharge velocity of a jet

υ:

velocity fluctuation in transverse direction

V :

time-mean transverse velocity

X :

distance from a cross-section of the plane jet to the line-source from which it originates

X′ :

distance from a cross-section of the jet to the exit edge of the slit

Y :

lateral distance of a point in the jet from the axis

Z :

coordinate in the direction of the slit

ε:

coefficient of turbulent momentum exchange

η:

distance ratio Y/X

:

distance ratio for which\(\sqrt {p/p_m } \) andU/U m respectively are 0.5

μ:

coefficient of dynamic viscosity

ν:

coefficient of kinematic viscosity

ρ:

density

τ:

shear stress

ϕ:

function

Φ:

Gaussian error integral

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Authors and Affiliations

  1. Royal Dutch Shell Laboratory, Delft, of N.V. de Bataafsche Petroleum Maatschappij, The Hague, Holland

    B. G. Van der Hegge Zijnen

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  1. B. G. Van der Hegge Zijnen
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Van der Hegge Zijnen, B.G. Measurements of the velocity distribution in a plane turbulent jet of air. Appl. sci. Res. 7, 256–276 (1958). https://doi.org/10.1007/BF03185052

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  • DOI: https://doi.org/10.1007/BF03185052

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