Pressure Loss Across Louvers Equation and Calculator

Fluids Flow Design and Engineering
Hydraulic Pneumatic Design Engineering

Head or pressure loss coefficient and head (pressure) loss of a fluid in across angled louvers inside a pipe equation and calculator.

pressure loss coefficient and head (pressure) loss of a fluid in across angled louvers

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The heat flow (q) from the plate is calculated as:

hL = kloss x (um2 / (2 x g) )

Where kloss is the head loss coefficient, um is the flow velocity in the pipe, and g is the gravitational acceleration. kloss is dependant on the Reynolds Number Re . If Re is smaller than or equal to 50, then (1 - 50 / Re) is taken to be zero:

kloss is the head loss coefficient

Where kqu is a function of the angle and the number of  louvers based on a table of values (see table below), and Re is the Reynolds Number and is calculated as:

Re = um x Dh / v

Where:

N = Number of Louvers
A = Angle of louvers
a = Width (m)
g = 9.80665 m/s2
um = Flow Velocity in tube (m/s)
v = Kinematic Velocity (kg/m-s)
Dh = hydraulic diameter of the tube (m) - A square cross section has a hydraulic diameter equal to the width of the tube.
kqu = Angle vs Number of louver constant - see table below

kqu


No.
Louvers
← Angle →
0
10
20
30
40
50
60
70

80

2
0.07
0.4
1.10
2.20
5.50
11.5
30.0
80.0
300.0
3
0.14
0.25
0.80
2.00
4.50
10.0
20.0
40.0
140.0
4
0.12
0.22
0.73
1.70
4.00
8.00
14.0
30.0
110.0
5
0.15
0.20
0.65
1.50
3.00
7.00
13.0
35.0
70.0
6
0.20
0.35
1.00
2.30
4.80
8.50
16.0
35.0
150.0

References

Idel'chik, I E. and Fried, Erwin., Flow Resistance, a Design Guide for Engineers , Taylor & Francis, Washington D.C. 1989. p 306.

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