Flush-mounted bevelled entrance

                        Circular Cross-Section

                              (IDELCHIK)

Model description:

This model of component calculates the minor head loss (pressure drop) generated by the flow in a flush-mounted bevelled entrance of piping.

The head loss by friction in the piping is not taken into account in this component.

Model formulation:

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Hydraulic diameter (m):

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Pipe cross-sectional area (m²):

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Mean velocity in pipe (m/s):

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Mass flow rate (kg/s):

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Reynolds number in pipe:

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Local resistance coefficient (Re ³ 10⁴):

([1] diagram 3-7)

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Total pressure loss coefficient (based on mean velocity in pipe):

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Total pressure loss (Pa):

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Total head loss of fluid (m):

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Hydraulic power loss (W):

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Symbols, Definitions, SI Units:

D_h          Hydraulic diameter (m)

D₀         Pipe diameter (m)

F₀          Pipe cross-sectional area (m²)

Q          Volume flow rate (m³/s)

w₀          Mean velocity in pipe (m/s)

G           Mass flow rate (kg/s)

Re         Reynolds number in pipe ()

a           Top angle of cone (2 x bevel angle) (°)

l            Bevel length (m)

z_loc         Local resistance coefficient ()

z            Total pressure loss coefficient (based on mean velocity in pipe) ()

DP          Total pressure loss (Pa)

DH         Total head loss of fluid (m)

Wh        Hydraulic power loss (W)

r           Fluid density (kg/m³)

n           Fluid kinematic viscosity (m²/s)

g           Gravitational acceleration (m/s²)

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Validity range:

· turbulent flow regime in pipe (Re ³ 10⁴)

· relative length of bevel (l/D_h) equal to or lower than 0.6

note:  for relative lengths of bevel “l/D_h” greater than 0.6, the local pressure loss coefficient is extrapolated

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Example of application:

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References:

[1] Handbook of Hydraulic Resistance, 3rd Edition, I.E. Idelchik

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HydrauCalc                                                                              Edition: January 2020

© François Corre 2020