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Variables

Variable 54 – Absolute roughness

Absolute roughness K in mm for various materials

Drawn glass, lead, copper and brass tubes

 

0 – 0.0015

Drawn steel tubes

New

Cleaned after long service

Moderately rusted or slightly fouled

Heavily fouled

0.04 (0.02 – 0.1)

0.15 – 0.20

≤ 0.40

 

≤ 3.0

Galvanized sheet steel

Galvanized steel tubes

Smooth (air ducts)

Normally galvanized

0.07

0.15

Welded steel pipes

New

New bituminized

Used, cleaned

Uniformly rusted

Slightly fouled

Heavily fouled

0.05 (up to 0.1)

0.05

0.15 – 0.20

≤ 0.40

1 – 1.5

2 – 4

Riveted steel pipe

 

0.9 (0.5 – 10)

Cast iron pipes

New

New bituminized

Slightly rusted

Fouled

0.26 (up to 1)

0.10 – 0.15

1.0 – 1.5

1.4 – 4.0

Concrete conduits

Smooth finish

Rough

0.3 (up to 0.8)

1.2 (up to 3)

Fibrous concrete pipes

(Eternit; Toschi)

0.05 –0.1

Wooden boards

Unplaned

Planed

0.7

0.2

Brickwork

Normal bonds

1.3

Plastic tubes

 

≤ 0.0015

 

Variable 77 – Model of two-phase flow

The so-called homogeneous model is based on the idea that vapor and liquid phase are evenly distributed over the pipe cross-section and flow at the same velocity (without slip). Although bubble or fog flow comes closest to this idea, some model variants are also successfully used for other flow forms.

The heterogeneous model is based on the idea that vapor and liquid phase flow at different velocities through different cross-sectional parts of the pipe. The interaction between the phases is not considered separately in most model variants, but is included in the adjusted coefficients of the correlations.

Variable 78 – Model for calculating the friction pressure loss

For the frictional pressure loss, the VDI Heat Atlas proposes model-based approaches for flows according to the homogeneous or heterogeneous model as well as an empirical approach according to Müller-Steinhagen and Heck. The aim of the authors was to create a much easier to handle and yet well-founded calculation rule compared to model-based approaches, which are often difficult to implement. Despite the actually very simple structure, this correlation, which is still widely used today, always shows very good agreement even with newer experimental data.