Centrale Physique et Chimie 1 PSI 2016

Thme de l'preuve tude d'une pompe d'alimentation d'eau
Principaux outils utiliss mcanique des fluides, lectromagntisme
Mots clefs pompe, moteur aimants, pertes de charge

Corrig

 : (gratuite si tu cres un compte) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

nonc complet

(tlcharger le PDF)

Rapport du jury

(tlcharger le PDF)

nonc obtenu par reconnaissance optique des caractres


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zone

8

7

6
5.5

2hDg
Darcy-Weisbach friction factor f ! """"
LV 2

5
4.5
4

3.5

3

2.5

2
1.8
1.6

1.4

1.2

-2

10

Material
""""""""""""""
Riveted steel
Concrete
Wood stave
Cast iron
Galvanized iron
Asphalted cast iron
Commercial steel
Drawn tubing

 (mm)
"""""""""
0.9-9
0.3-3
0.18-0.9
0.25
0.15
0.12
0.046
0.0015

Fluid at 20C
""""""""""""""
Water
Air (101.325 kPa)

 (m2/s)
"""""""""
1.003e-006
1.511e-005

Smooth pipes, r = 0
1/f = 2 log(R f ) - 0.8
Hagen-Poisseuille equation
R  2300, f = 64/R
Colebrook equation, R  2300
1/f = -2 log(r /3.7 + 2.51/(R f ))

r = 5e-006

Acceleration at sea level
latitude 45, g = 9.80665 m/s2

9

r = 1e-006

8
6 7 8

3

10

2

3

Moody Diagram

4

5 6 7 8

4

10

2

3

4

5 6 7 8

5

10

2

3

4

5 6 7 8

6

10

2

VD
Reynolds number R ! "" (V in m/s, D in m,  in m 2/s)

3

4

5 6 7 8

7

10

2