Figure 2.10. Einstein's multiplication factor X in the logarithmic velocity equations

(Einstein 1950).

=

Slope of the energy gradeline

Sf

=

Thickness of the viscous sublayer

δ′

=

Kinematic viscosity of fluid

ν

δ′ = 11.6ν / V*

C / g = Chezy discharge coefficient in the equation

1/ 2

8g

V = C RS or C =

(2.81)

f

f

=

Darcy-Weisbach resistance coefficient which is given by the expression

τo

f =8

(2.82)

ρV 2

Any consistent set of dimensions can be used (m or ft).

2.20

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