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 ‫א‬‫א‬‫א‬
‫اﻟﻤﺆﺳﺴﺔ اﻟﻌﺎﻣﺔ ﻟﻠﺘﻌﻠﻴﻢ اﻟﻔﻨﻲ واﻟﺘﺪرﻳﺐ اﻟﻤﻬﻨﻲ‬
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬
 ‫א‬
‫א‬
٤
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
‫א‬‫א‬  ‫א‬‫א‬ ‫א‬ W‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬
 W‫א‬‫א‬
 J ‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬W‫א‬‫א‬ o
 J‫א‬ 
  ‫א‬–‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬
 K‫א‬‫א‬ J‫א‬ o
 JE
 F‫א‬‫א‬‫א‬‫ א‬o
K‫א‬‫א‬‫א‬
 
 W‫א‬‫א‬‫א‬
 ٪٨٠‫א‬‫א‬
 
 W‫א‬‫א‬
 K٦
 
 W‫א‬‫א‬
K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬   J١
K‫א‬‫א‬  J٢
 
 W‫א‬‫א‬
‫א‬‫א‬‫א‬E‫א‬‫א‬‫א‬F‫א‬‫א‬ ‫א‬
 K‫א‬
- ٥٨ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W
K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 ‫א‬،‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
 Types of Fluid Flow‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ ‫א‬‫א‬‫א‬
‫א‬
  ‫א‬K ‫א‬‫א‬‫א‬
‫א‬ ‫א‬‫א‬‫א‬،‫א‬
‫א‬EParticlesF‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬K‫א‬‫א‬‫א‬
 ‫א‬‫א‬،E١٤FE Laminar FlowF‫א‬
‫א‬K ‫א‬‫א‬‫א‬
 KE١٤FETurbulent FlowF‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 

 
 ‫א‬‫א‬E١٤F

- ٥٩ -

 ‫א‬‫א‬E١٤F
 
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
WFluids in Motion‫א‬‫א‬
‫א‬‫א‬،‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K
‫א‬‫א‬،Steady Uniform Flow‫א‬‫א‬‫א‬‫א‬K
‫א‬EConvergentF  ‫א‬‫א‬‫א‬KE٢٤F
‫א‬‫א‬ E٢ ٤F‫א‬‫א‬F‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬K
 KESteady Non-Uniform FlowF‫א‬‫א‬

 
 E٢٤F
 

  E‫א‬٢٤F
 
 Rate of Flow‫א‬
 ‫א‬ ‫א‬‫א‬‫א‬،E٣ ٤F‫א‬
 KQ‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬‫א‬‫א‬‫א‬E٣٤F
- ٦٠ -
 
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬‫א‬‫א‬‫א‬
 Q
A=
.
×ν
 ‫א‬‫א‬Z Q ،‫א‬ZA،‫א‬Zν
.
 m3/sec‫א‬‫א‬‫א‬
⋅
  m ‫א‬‫א‬‫א‬
 W،‫א‬
 
  ‫א‬ × ‫א‬Z‫∴ א‬
 
 ∴ m = V × ρ
 
 Q = ρ ×
⋅
.
m
 
 
‫א‬ ‫א‬
 ‫א‬. 0.6 m/sec 15mm‫א‬
 K‫א‬‫א‬
 
 W‫א‬
 Q A =
.
 W‫א‬‫א‬‫א‬
ν
×
.
 π = Q (0.015)2X0.6 = 106.02X10-6 m3/sec
4
 
⋅
⋅
 W‫א‬‫א‬‫א‬
 Q = ρ × m
 
⋅
  = 1000 × (106.02×10-6) = 0.106 kg/sec m
- ٦١ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
Continuity EquationE‫א‬‫א‬F‫א‬‫א‬
‫א‬E
 ‫א‬F‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 W
⋅
m = ρ1 × A1 × ν1 = ρ2 × A2 ×ν2
 
Continuity EquationE‫א‬،‫א‬‫א‬F‫א‬‫א‬‫א‬‫א‬
 KLaw of Conservation of Mass‫א‬
‫א‬‫א‬‫א‬K‫א‬‫א‬‫א‬
 ρ1 = ρ2 = ρ
 W‫א‬
 W
 A1 × ν1 = A2 × ν2
⋅
 
⋅
∴Q = Q
1
2
 W
E٤ ٤F‫א‬
 EConverging PipeF 
 ‫א‬‫א‬،0.15m‫א‬0.46m‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬،0.3m3‫א‬
 
 
 ‫א‬E٤٤F
- ٦٢ -
 
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬
 W‫א‬‫א‬
.
  Q A 1 = × ν1
 KE٤٤F‫א‬‫א‬‫א‬
⋅

Q
ν1Z
A1
 
 WA1‫א‬‫א‬
 (0.462) = 166.19×10-3 m2 π =
d12 π
4
∴ν1 =
0.3
1.66019 × 10 −3
4
A1 =
= 1.8 m/sec
 K‫א‬‫א‬‫א‬
 
⋅
 ν2Z
Q
A2
17m/sec ≅ = 16.98
π
4
0.3
0.15 2
(
)=
 
K
 ‫א‬‫א‬ ‫א‬K
 ‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬
A1× ν1 = A2 × ν2
A ×ν
 ∴ν2 = 1 1 =
A2
π
4
 
× d12 ×ν 1
π
× d 22
4
 
 
× 0.462 × 1.8
= 16.93 m
∴ν2 = π
2
sec
× 0.15
4
π
4
 
 
- ٦٣ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
kg
5cm‫א‬‫א‬‫א‬‫א‬998
 W
/m3‫א‬‫א‬‫א‬
‫א‬3.75cm ‫א‬7.5cm
 W‫א‬،E٥٤F‫א‬0.15 m3/sec‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ o
K‫א‬‫א‬‫א‬‫א‬‫א‬‫ א‬o
 
 ‫א‬E٥٤F
 
 
 W‫א‬
 W‫א‬‫א‬‫א‬‫א‬
 
⋅
= ρ×Α1×ν1 m1
 
⋅
⋅
m1 = ρ × Q
 
⋅
(
⎠
 ∴ m1 = ⎛⎜ 998 kg m3 ⎞⎟ 0.015 m
⎝
3
 
⋅
 ∴ m1 = 14.970 kg sec
- ٦٤ -
sec
)
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬‫א‬
.
⋅
⋅
  m1 = 2 × m3
 
⋅
⋅
 ∴ m 3 = × m 1
 
1
2
⋅
  m3 = 12 × 14.97 = 7.485 kg sec
 
 W‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬
 KA1‫א‬
  A =1
π
4
× d12 = π4 × (0.05) 2 = 0.001963m 2
 
⋅
Q1 = A1 ×ν 1
⋅

ν 1 = Q1
A1
V1 =
0.015 m
3
sec = 7.6 m
sec
0.001963m 2
 
 ‫א‬‫א‬‫א‬
 A3‫א‬
A3 =
 
π
4
⋅
2
×d3 =
π
4
 
× (0.0375) 2 = 0.001104m 2
3
m
Q 3 0.0075 sec
ν3 =
=
= 6.76 m
sec
A3
0.001104m 2
 
- ٦٥ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 : Energy of a Liquid in Motion‫א‬‫א‬
 
 ‫א‬‫א‬، 
 ‫א‬‫א‬
"the capacity to do ‫א‬‫א‬‫א‬ ‫א‬
 .work"
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬،
‫א‬‫א‬K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 K??‫א‬‫א‬‫א‬
 W‫א‬‫א‬
 K‫א‬ E١
 K‫א‬ E٢
 K‫א‬ E٣
 K‫א‬‫א‬‫א‬
 
 Potential EnergyW‫א‬
 
Datum Z m‫א‬‫א‬‫א‬
 W‫א‬‫א‬‫א‬KE٦٤F‫א‬Line
 
⎛
⎝
 Potential Energy = ‫א‬ m × g × Z ⎜ kg ×
m
⎞
× m⎟ =
2
sec
⎠
 
‫א‬،?J?‫א‬‫א‬ ''Joule'' ?‫?א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬
- ٦٦ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 
 ‫א‬m ‫א‬E٦٤F
⎛ J ⎞
⎟⎟
⎝ kg ⎠
  g × z⎜⎜
Potential Energy per Unit Mass =
 
 Pressure Energy W‫א‬
‫א‬‫א‬ ‫א‬
‫א‬‫א‬P‫א‬‫א‬A‫א‬‫א‬K
‫א‬‫א‬‫א‬K‫א‬‫א‬ P) × (A ‫א‬
 W،Q‫א‬
⋅
  Q = A ×ν
⋅
KE F V = Q ‫א‬P) × (A‫א‬
 
A
 W‫א‬‫א‬Ework)‫א‬
Work = Force × Distance
 Work = p×A×ν
 
⋅
Q
work = p × A ×
A
 
⋅
work = p × Q
- ٦٧ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
⋅
 W‫א‬‫א‬‫א‬ m ‫א‬‫א‬
.
.
 m = ρ ×Q
 WEF‫א‬‫א‬‫א‬‫א‬‫א‬
⋅
work done per unit mass =
p×Q
⋅
ρ ×Q
=
p⎛J ⎞
⎜
⎟
ρ ⎝ kg ⎠
 
  J kg ،‫א‬L‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
⎛ p⎞
  ⎜⎜ ρ ⎟⎟ ‫א‬‫א‬‫א‬E‫א‬F‫א‬
⎝ ⎠
 
p
=
 Pressure Energy= ‫א‬ ρ
 
 Kinetic EnergyW‫א‬
 
‫א‬‫א‬،ν m‫א‬‫א‬
 KE½ ×m×ν2 FE‫א‬F
 W
Kinetic Energy = ½× m × ν2
 
 
 W‫א‬‫א‬‫א‬‫א‬
 
2⎛ J ⎞
⎜⎜ ⎟⎟
ν
×
  Kinetic Energy Per Unit MassZ
⎝ kg ⎠
1
2
 
- ٦٨ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
،
 ‫א‬، ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬

 WK‫א‬
 ‫א‬H‫א‬H‫א‬Z‫א‬‫א‬‫א‬‫א‬
  g×z+
p
ρ
 
+ 12 ×ν 2 Total Energy Per Kg =
 
‫א‬E‫א‬‫א‬‫א‬F‫א‬‫א‬‫א‬
 WEheight or headF‫א‬
 KEPotential HeadF‫א‬ o
 KEPressure HeadF‫א‬ o
 KEVelocity HeadF‫א‬ o
 
‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 WK‫א‬
  Total head Per kg = z +
p
ν2
+
ρ × g 2g
 
 W‫א‬‫א‬‫א‬‫א‬
 
  Total head Per kg = m +
N m3 sec 2 m 2 sec 2
×
×
+
×
m
m
m 2 kg
sec 2
 W
 
Total Head Per kg = m + m + m = m
- ٦٩ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
  Bernoulli Equation 
‫א‬F‫א‬‫א‬‫א‬?W‫א‬
‫א‬، ‫א‬E‫א‬
 W?‫א‬‫א‬‫א‬
 K‫א‬H‫א‬H‫א‬
 
 
 W‫א‬
 
p1
ρ
+
ν 12
2
p2
gZ1 =
ρ
+
ν 22
2
+ gZ 2
 
K ‫א‬‫א‬‫א‬ ‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬
 
 
 E٧٤F
 
‫א‬‫א‬‫א‬E٧ ٤F ‫א‬‫א‬‫א‬
 KCBA‫א‬Kh‫א‬‫א‬v
 KC ‫א‬‫א‬ZB ‫א‬‫א‬ZA ‫א‬‫א‬
 
pA
ρ
+
ν A2
2
+ gZ A =
pB
ρ
+
ν B2
2
+ gZ B =
- ٧٠ -
pc
ρ
+
ν c2
2
 W
+ gZ c
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
‫א‬،‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬ ‫א‬ B‫א‬ ‫א‬A 
 K‫א‬
 W‫א‬
 
 
‫א‬B‫א‬‫א‬A‫א‬
 W‫א‬‫א‬K‫א‬C ‫א‬
  p A + ν A + gZ A Z pB + ν B + gZ B
2
ρ
2
ρ
2
2
 
BA‫א‬‫א‬ ‫א‬‫א‬
 K‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ 
 
pA
ρ
+
ν A2
2
+ gZ A =
pB
ρ
+
ν B2
2
 
+ gZ B +
energy loss between A and B
 
 W
1.52 m/sec‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K9.14 m/sec‫א‬‫א‬
K2.339kPa‫א‬‫א‬‫א‬‫א‬‫א‬K15.2m‫א‬‫א‬
‫؟‬K993 kg/m3‫א‬‫א‬998 kg/m3‫א‬‫א‬
 W‫א‬
W‫א‬‫א‬‫א‬
- ٧١ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
P1
ρ1
+
ν 12
2
gZ1 =
P2
ρ2
+
  2.339 × 1000 + 1.52
998
2
2.344 + 1.155 + 0 =
ν 22
2
2
gZ 2
+ 9.81 × 0 =
P2 9.14 2
+
+ 9.81 × 15.2
983
2
P2
+ 41.77 + 149.112
983
  P2 = 983(2.344 + 1.155 − 41.77 − 149.112) = −184.2 KPa
 K‫؟‬ ‫א‬‫א‬
 
 W
 W‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬
htZ hνHhs
 K‫א‬
 
‫א‬K‫א‬ hν  ‫א‬‫א‬hs
 ‫א‬‫א‬ht
K‫א‬‫א‬‫א‬‫א‬‫א‬W‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K‫א‬‫א‬
hν =
 
ν2
 
2g
ν = 2 gh
W
 Em/secF‫א‬ν
 EmF‫א‬hν
- ٧٢ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W

  ‫א‬‫א‬‫א‬‫א‬‫א‬K
 ‫؟‬K‫א‬‫א‬K‫א‬‫א‬ 21.6m22m‫א‬
 W‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
hν= ht - hs
hν = 22-21.6 = 0.4 m
 ∴ν
 
= 2 ghν = 2 × 9.81 × 0.4 = 2.8 m
sec
 

‫א‬‫א‬
13600kg/m3‫א‬1.2kg/m3‫א‬‫א‬‫א‬K20mm
 ‫؟‬K‫א‬‫א‬‫א‬
 W‫א‬
 W‫א‬‫א‬‫א‬‫א‬
 
Pν = ρ ghHg
= 13600 × 9.81 × 0.02 = 2668.32 N/m2
 W
Pν
ρ air
=
ν2
2
ν 2 = 2×
ν = 2×
Pν
ρ air
266.32
= 66.7 m
sec
1 .2
 
- ٧٣ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬
 ‫א‬، ‫א‬‫א‬
‫א‬
 ‫א‬‫א‬‫א‬K ‫א‬‫א‬
 ‫א‬‫א‬‫א‬‫א‬K‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬K‫א‬
 
 Pitot Tube
E٨٤F‫א‬K‫א‬
‫א‬‫א‬‫א‬
  ‫א‬
 K‫א‬‫א‬‫א‬‫א‬K‫א‬
 
 W‫א‬‫א‬E٢FE١F‫א‬
  P1 + ν 1
2
ρ
2
+ gZ 1 =
P2
ρ
+
ν 22
2
+ gZ 2
 ‫א‬K‫א‬‫א‬‫א‬E٢F‫א‬‫א‬
 W
P1
ρ
 
ν 12
2
+
ν 12
=
2
 
=
P2
ρ
P 2 − P1
ρ
ν2 = 2×
P2 − P1
ρ
‫א‬‫א‬ ‫א‬
 ‫א‬‫א‬P2  ‫א‬‫א‬P1
 
 K‫א‬
    ‫א‬‫א‬‫א‬
- ٧٤ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬،‫א‬
 K‫א‬‫א‬‫א‬‫א‬
 
 
 ‫א‬E٨٤F
 
 WVenturi-Meter‫א‬
 
‫א‬‫א‬  ‫א‬‫א‬
KE٩ ٤F‫א‬‫א‬K‫א‬
 K‫א‬‫א‬‫א‬E٢FE١F‫א‬
 
 ‫א‬E٩٤F
 
‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K‫א‬ ‫א‬‫א‬K
‫א‬K‫א‬‫א‬ ‫א‬،‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬E٢F‫א‬‫א‬E١F‫א‬
- ٧٥ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 
P1
ρ1
ν 12
+
2
P2
+ gZ 1 =
ρ2
+
ν 22
2
+ gZ 2
 K‫א‬‫א‬‫א‬‫א‬
∴
 
P1
ρ1
+
ν 12
ν 22 − ν 12
2
2
=
=
P2
ρ2
+ gz2
P1 − P2
ρ
 W‫א‬‫א‬‫א‬
 ν 1 =
A2
×ν 2
A1
 W‫א‬‫א‬E٢F‫א‬‫א‬‫א‬
 
 ν 2 =
2( P1 − P2)
⎛
ρ − ⎜⎜1 −
⎝
A22
A12
⎞
⎟⎟
⎠
 
 K‫א‬‫א‬E٢FE١F‫א‬‫א‬A2 A١
 
 
E
 ‫א‬‫א‬F‫א‬‫א‬‫א‬K25Co‫א‬
‫א‬‫א‬2.5cmE٢F‫א‬7.5cmE١F‫א‬‫א‬‫א‬42.1cm
 ‫؟‬K‫א‬‫א‬
 
 W‫א‬
 E٢F‫א‬‫א‬
- ٧٦ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
ν2 =
 ∴ν 2 =
ν2 =
2 × ∆Ρ
=
A22
ρ (1 − 2 )
A1
2 g × ∆h
A2
(1 − 22 )
A1
2 × 9.81 × 0.421
⎛ 0.025 2
1 − ⎜⎜
2
⎝ 0.075
⎞
⎟⎟
⎠
2
8.08
= 8.18 = 2.86 m
sec
0.988
 
 W‫א‬‫א‬‫א‬‫א‬
 
m3
0.0014
⋅
m3
π
2
sec = 1.4 lit = 84 lit
  Q = A2 × v2 = 4 × (0.025) × 2.86 = 0.0014 sec =
m3
sec
min
0.001
lit
 
 WOrifice MeterE‫א‬F‫א‬
 
‫א‬‫א‬،‫א‬
‫א‬K‫א‬
‫א‬KE١٠ ٤F ‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K
 K‫א‬‫א‬‫א‬‫א‬
 
 ν 2 =
2(P1 − P2 )
⎛
A22 ⎞
⎜
ρ × ⎜1 − 2 ⎟⎟
A1 ⎠
⎝
- ٧٧ -
 
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 
 ‫א‬E١٠٤F
 
 W
 ‫א‬‫א‬0.3m/secE١٠٤F‫א‬‫א‬‫א‬‫א‬
K
  ‫א‬‫א‬ ‫א‬‫א‬‫א‬، 0.06 m‫א‬0.3 m
 K Cv= 0.82‫א‬‫א‬
 W‫א‬
ν 2 = Cν


2 × ∆Ρ
⎛
A ⎞
ρ × ⎜⎜1 − 2 ⎟⎟
A1 ⎠
⎝
2
W‫א‬‫א‬ ν ‫א‬
 
 ν 2 = ν 1 × A1
A2
 ν2 = 7.5 m/sec
 
‫א‬
 
 ‫א‬‫א‬‫א‬‫א‬
 
 

A22
ν × ρ × (1 − 2 )
A1
 ∆P =
= 73048.9 Pa ≈ 73KPa
2
2 × Cν
2
2
 
- ٧٨ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬‫א‬‫א‬
 W‫א‬‫א‬‫א‬
 
 K‫א‬‫א‬‫א‬EF
‫א‬‫א‬30 C0 ‫א‬1.5bar‫א‬‫א‬EF
،250mmB ‫א‬، 400mm × 300mm A ‫א‬
‫א‬B‫א‬‫א‬‫א‬‫א‬،BA0.2bar‫א‬‫א‬‫א‬‫א‬
 K18m/secA‫א‬‫א‬R=287 J/kg K‫א‬‫א‬‫א‬‫א‬
 
 W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
⋅
 K‫א‬ Q ‫א‬‫א‬‫א‬K‫א‬
 
 ‫א‬‫א‬
 
- ٧٩ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
 W‫א‬‫א‬‫א‬
 W‫א‬‫א‬‫א‬‫א‬
 
 ‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ •
ρ1 × A1 × v1 = ρ 2 × A2 × v2
 
 
 W‫א‬‫א‬EF‫א‬‫א‬
A1 × v1 = A2 × v2
 
‫א‬‫א‬‫א‬‫• א‬
EBF‫א‬EAF‫א‬K‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬
 WE١F‫א‬ A‫א‬
 
ρ1
P1
RT1
1.5 × 105
Kg
ρ1 =
= 1.725 3
287 × (30 + 273)
m
 WE٢F‫א‬B‫א‬
 
ρ2
P2
RT2
(1.5 − 0.2) × 105 = 1.495 Kg
287 × (30 + 273)
m3
 E٢FEBF‫א‬‫א‬‫א‬‫א‬‫א‬
ρ2 =
ρ1 × A1 × v1 = ρ 2 × A2 × v2
- ٨٠ -
 ‫א‬‫א‬‫א‬
 ١٦٢
 ‫א‬
 ‫א‬
 EF‫א‬‫א‬
 
‫א‬‫א‬،v2‫א‬ ‫א‬‫א‬‫א‬
 W‫א‬‫א‬
  v2 =
ρ1 × A1 × v1 1.725 × (0.4 × 0.3) × 18
m
=
= 39.87
2
ρ 2 × A2
sec
1.495 × (0.25)
 
 
 W‫א‬‫א‬‫א‬‫א‬
 K‫א‬‫א‬‫א‬‫א‬
  P1 + v1 + Z1 g =
ρ
2
P2
ρ
+
v2
+ Z2 g
2
 E١F‫א‬‫א‬ K
 ‫א‬‫א‬E٢FE١F ‫א‬
‫א‬K‫א‬‫א‬‫א‬‫א‬E٢F‫א‬
 W‫א‬‫א‬
2
  v2
2
= Z1 g − Z 2 g = g (Z1 − Z 2 )
 W‫א‬‫א‬،4m(Z1-Z2)
 
v2 =
 
(2 × g × (Z1 − Z 2 ))
v2 = 2 × 9.8 × 4 = 8.86
m
sec
⋅
 W Q ‫א‬‫א‬
⋅
Q = A2 × v2
π
( )
π
m3
Q = × d × v2 = (0.1) × 8.86 = 0.0695
4
4
sec
⋅
m
∴ Q = 0.0695 3
sec
⋅
2
2
2
- ٨١ -
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