Pumps - Fluid Flow - Handout, Exercises of Fluid Dynamics

Topics covered in this course include fluid properties, fluid statics, fluid kinematics, control volume analysis, dimensional analysis, internal flows, differential analysis, external flows CFD, compressible flow and turbomachinery. Key words for this lecture are: Pumps, Diffuser, Inner Diameter, Atmospheric Pressure, Horizontal Diffuser, Gage Pressure, Pump Perfomance Curve

Typology: Exercises

2012/2013

Uploaded on 10/02/2013

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M E 320 Professor John M. Cimbala Lecture 23
Today, we will:
Do an example problem – diffuser
Begin discussing pumps, and how they are analyzed in pipe flow sytems
Example Problem – Diffuser
Given: Water (
ρ
= 1000 kg/m
3
,
μ
= 1.00 × 10
-3
kg/ms) flows through a horizontal diffuser,
as sketched. The flow is fully developed at both locations 1 and 2. The inner diameter
changes from d to D through the diffuser. The outlet of the diffuser is open to atmospheric
pressure.
2
1 10
o
V
1
10
o
d
D
V
2
Given information:
d = 1.2 cm
D = 2.0 cm
θ
= 2 × 10
o
= 20
o
(
θ
is the total included angle)
V
1
= 6.0 m/s
P
2
= P
atm
α
1
= 1.06 and
α
2
= 1.06 (fully developed turbulent pipe flow)
To do: Calculate the gage pressure at location 1 and discuss.
Solution: To be done in class.
pf3
pf4

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M E 320 Professor John M. Cimbala Lecture 23

Today, we will :

  • Do an example problem – diffuser
  • Begin discussing pumps , and how they are analyzed in pipe flow sytems Example Problem – Diffuser

Given : Water ( ρ = 1000 kg/m^3 , μ = 1.00 × 10 -3^ kg/m⋅s) flows through a horizontal diffuser, as sketched. The flow is fully developed at both locations 1 and 2. The inner diameter changes from d to D through the diffuser. The outlet of the diffuser is open to atmospheric pressure. 2

1 10 o

V 1

10 o

d D

V 2

Given information:

  • d = 1.2 cm
  • D = 2.0 cm
  • θ = 2 × 10 o^ = 20o^ ( θ is the total included angle)
  • V 1 = 6.0 m/s
  • P 2 = P atm
  • α 1 = 1.06 and α 2 = 1.06 (fully developed turbulent pipe flow)

To do : Calculate the gage pressure at location 1 and discuss.

Solution : To be done in class.