ENERGY EQUATION for Non-uniform Flows
ο»ΏENERGY EQUATION for Non-uniform Flows
V
Mean Velocity:
=
=
1
1 3
Kinetic Energy Correction Factor:
=
V
Modified Energy Equation (by using Reynolds Transport Theorem for energy)
1
+
1
+ 112 2
+
=
2
+ 2
+ 222 2
+
+
V1 and V2 are the mean velocities at stations 1 and 2
=
=
=
=
CE319F, UT Austin (S.A. Kinnas, 2020)
Energy Equation & Examples
1
Example 7.1
for Laminar or Turbulent Pipe Flows
For laminar flows: 2
= 1 -
Mean Velocity:
=
1
=
1 2
2
=
2
Kinetic Energy Correction Factor:
1 3
=
1
3
=
2
0
2 = 2
For uniform flows:
= 1
For turbulent flows: = 1.05 - 1.07 (we often use = 1 for simplicity)
CE319F, UT Austin (S.A. Kinnas, 2020)
Energy Equation & Examples
2
Example 7.2
ENERGY EQUATION
1
+
1
+ 112 2
+
=
2
+
2
+
222 2
+
+
=
=
=
=
2 = = 2
(for pipes)
Darcy-Weisbach equation f: resistance coefficient or friction factor
CE319F, UT Austin (S.A. Kinnas, 2020)
Energy Equation & Examples
3
Example 7.3
ENERGY EQUATION
1
+ 1
+
112 2
+
=
2
+
2
+
222 2
+
+
=
=
=
=
1 hp= 550 lbf ft/sec
CE319F, UT Austin (S.A. Kinnas, 2020)
1 W = 1 N m/sec
Energy Equation & Examples
1 hp = 0.746 kW
4
Example 7.4
ENERGY EQUATION
1
+
1
+ 112 2
+
=
2
+
2
+
222 2
+
+
=
=
=
=
CE319F, UT Austin (S.A. Kinnas, 2020)
Energy Equation & Examples
5
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