2 example of calculation, Example of calculation -4 – Yokogawa EJX115A User Manual

Page 34

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<7. Operation>

7-4

IM 01C25K01-01E

Reynolds Number Calculation

Re = 354

(3)

W

D.µ

Where, Re: Reynolds number at normal flow rate

W: Weight flow at normal flow rate (kg/h)

(Note)

D: Orifice bore (mm)

µ: Viscosity (mPa·s)

Note: Determination of W

· For liquid, W=Qf·ρf

· For gas, W=Qn·ρn

Differential Pressure Correction using

Reynolds Number

∆P =

2

. ∆P

0

1

Kaf/Ka

Where, ∆P: Corrected differential pressure

∆P

0

: Differential pressure obtained from

procedure (b)

Kaf/ka: Correction factor obtained from

Figure 7.5.3

For details concerning determination of

differential pressure correction using Reynolds

number, pressure loss, etc., refer to TI

01C20K00-01E.

7.5.2 Example of Calculation

Fluid:

N

2

gas (Nitrogen gas)

Flow range:

0 to 25 Nm

3

/h

(flow rate at 0°C, 1 atm)

Normal flow rate: 18 Nm

3

/h

Specific density: 1.251 kg/Nm

3

(specific density at 0°C, 1 atm)

Temperature:

30°C

Pressure:

100 kPa

Viscosity:

0.018 mPa·s

From Equation (2), air equivalent volumetric flow

Qo is:

Q

o

= 0.5356 Ч 25 1.251 Ч

= 18.38 Nm

3

/h = 306.3 Nl/min

273.15 + 30

101.325 + 100

A differential pressure range of 0 to 2400 mmH

2

O is

obtained from Figure 7.5.2 applying an orifice bore

of 6.350 mm (where, Zf/Zn=1 is assumed).
From Equation (3), Reynolds number at normal flow

rate Re is:

Re = 354 Ч

= 6.97 Ч 10

4

18 Ч 1.251

6.35 Ч 0.018

Since the correction factor (1.00) is constant at

this Reynolds number, no differential pressure

correction is required. Consequently, the differential

pressure range is determined as 0 to 2400 mmH

2

O.

F0705.ai

0.05

0.508

0.864

1.511

2.527

4.039

6.350

0.01

0.05

0.1

0.5

1

5

10

40

200

100

50

10

5

1

200

100

50

10

5

1

0.1

0.5

1

5

10

40

Equivalent water flow(liter/min at 0°C, 1 atm)

Differential

Pressure

(kPa)

Figure 7.5.1 Relationship between Equivalent Water Flow and Differential Pressure

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