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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