11. A fan is designed to operate at a rotative speed of 20 rps. At the design conditions the airflow rate is 20 m³/s, the static pressure rise is 30 Pa and the air temperature is 20°C. At these conditions the fan requires a power input of 1.5 kW. Keeping the speed constant at 20 rps, if the air temperature changes to 10°C, what will be the airflow rate, static pressure and power input?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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fan example.pdf
2 of 2
be increased to maintain the balance between fan and duct systems
d) When the damper installed in the duct is opened more, to maintain the
balance, the speed of the fan should be increased
11. A fan is designed to operate at a rotative speed of 20 rps. At the design
conditions the airflow rate is 20 m³/s, the static pressure rise is 30 Pa and the air
temperature is 20°C. At these conditions the fan requires a power input of 1.5
kW. Keeping the speed constant at 20 rps, if the air temperature changes to
10°C, what will be the airflow rate, static pressure and power input?
= 20 rps
= 20°C = 293 K
= 20 m/s
Ans: At design condition 1,Rotative speed, 01
Air temperature, T1
Airflow rate,Q1
Static pressure rise, Aps.1 = 30 Pa
Power input, W,
%3D
= 1.5 kW
At off-design condition 2, the rotative speed is same as 1, but temperature
changes to 10°C (283 K), which changes the density of air. To find the other
variables, the fan law 2 has to be applied as density varies; i.e.,
i) Airflow rate Q, = Q2 = 20 m'/s
ii) Static pressure rise at 2,
Aps.2 = APs.1(P2/p1) = Aps.1(T1/T2) = 30(293/283) = 31.06 Pa
(Ans.)
%3D
iii) Power input at 2,
W2 = W;(p2/P1) = W;(T,/T2) = 1.5(293/283) = 1.553 kW
(Ans.)
%D
%3D
Transcribed Image Text:Done fan example.pdf 2 of 2 be increased to maintain the balance between fan and duct systems d) When the damper installed in the duct is opened more, to maintain the balance, the speed of the fan should be increased 11. A fan is designed to operate at a rotative speed of 20 rps. At the design conditions the airflow rate is 20 m³/s, the static pressure rise is 30 Pa and the air temperature is 20°C. At these conditions the fan requires a power input of 1.5 kW. Keeping the speed constant at 20 rps, if the air temperature changes to 10°C, what will be the airflow rate, static pressure and power input? = 20 rps = 20°C = 293 K = 20 m/s Ans: At design condition 1,Rotative speed, 01 Air temperature, T1 Airflow rate,Q1 Static pressure rise, Aps.1 = 30 Pa Power input, W, %3D = 1.5 kW At off-design condition 2, the rotative speed is same as 1, but temperature changes to 10°C (283 K), which changes the density of air. To find the other variables, the fan law 2 has to be applied as density varies; i.e., i) Airflow rate Q, = Q2 = 20 m'/s ii) Static pressure rise at 2, Aps.2 = APs.1(P2/p1) = Aps.1(T1/T2) = 30(293/283) = 31.06 Pa (Ans.) %3D iii) Power input at 2, W2 = W;(p2/P1) = W;(T,/T2) = 1.5(293/283) = 1.553 kW (Ans.) %D %3D
12:28 AM Fri 9 Apr
@ 77%
Done
fan example.pdf
1- State which of the following statements are TRUE?
a) Compared to forward curved blades, backward curved blades are more
Efficient
b) Airfoil type blades are used in small capacity systems
c) Fan laws are applicable to all types of fans
d) Fan laws are applicable to fans that are geometrically and dynamically
similar
2- State which of the following statements are TRUE?
a) For a given fan operating at a constant temperature, the power input to
fan
increases by 4 times when the fan speed becomes double
b) For a given fan operating at a constant temperature, the power input to
fan
increases by 8 times when the fan speed becomes double
c) For a given fan operating at a constant flow rate, the power input
increases as
the air temperature increases
d) For a given fan operating at a constant static pressure rise, the flow rate
reduces as the air temperature increases
3- State which of the following statements are TRUE?
a) For a backward curved blade, the fan total pressure (FTP) increases as
flow
rate increases
b) For a backward curved blade, the fan total pressure (FTP) reaches a
maximum at a particular flow rate
c) When the air filter in the air conditioning duct becomes dirty, the speed
has to
Transcribed Image Text:12:28 AM Fri 9 Apr @ 77% Done fan example.pdf 1- State which of the following statements are TRUE? a) Compared to forward curved blades, backward curved blades are more Efficient b) Airfoil type blades are used in small capacity systems c) Fan laws are applicable to all types of fans d) Fan laws are applicable to fans that are geometrically and dynamically similar 2- State which of the following statements are TRUE? a) For a given fan operating at a constant temperature, the power input to fan increases by 4 times when the fan speed becomes double b) For a given fan operating at a constant temperature, the power input to fan increases by 8 times when the fan speed becomes double c) For a given fan operating at a constant flow rate, the power input increases as the air temperature increases d) For a given fan operating at a constant static pressure rise, the flow rate reduces as the air temperature increases 3- State which of the following statements are TRUE? a) For a backward curved blade, the fan total pressure (FTP) increases as flow rate increases b) For a backward curved blade, the fan total pressure (FTP) reaches a maximum at a particular flow rate c) When the air filter in the air conditioning duct becomes dirty, the speed has to
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