Consider the arrangement shown in Fig. 1. For this setup the streams of air and water flow are separated, and the air is modelled as an ideal gas. The data for steady-state operation is shown in the figure. Assume that heat transfer to the surroundings can be neglected. Questions: Determine: (a) the total power required by both compressors, in kW (b) the velocity of the air at the exit of the nozzle, in m/s (c) the mass flow rate of the water, in kg/s (d) the power required by the pump, in kW

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider the arrangement shown in Fig. 1. For this setup the streams of air and water flow
are separated, and the air is modelled as an ideal gas. The data for steady-state operation
is shown in the figure. Assume that heat transfer to the surroundings can be neglected.
Questions:
Determine:
(a) the total power required by both compressors, in kW
(b) the velocity of the air at the exit of the nozzle, in m/s
(c) the mass flow rate of the water, in kg/s
(d) the power required by the pump, in kW

Air
P₁ = 1 bar
T₁ = 270 K
m₁ = 0.5 kg/s
Compressor A
P2= 3 bar +2
T₂=560 K
8
WOVA
+
Tg = 35°C
Pg=P7
www
www
V4= 5 m/s
P4= 9 bar
T4=900 K
Wp
Compressor B
3+ P3= P₂
T3=470 K
-Heat exchanger
7-
Water
T₁ = 23°C
P₁ = 5 bar
Fo
6
P5 P4
V₁> V4
WCVB
Nozzle
4
Pump
P6= 1 bar
T6 = 23°C
5
T,= 860 K
Figure 1. Compressor, heat exchanger, nozzle, and pump arrangement
Transcribed Image Text:Air P₁ = 1 bar T₁ = 270 K m₁ = 0.5 kg/s Compressor A P2= 3 bar +2 T₂=560 K 8 WOVA + Tg = 35°C Pg=P7 www www V4= 5 m/s P4= 9 bar T4=900 K Wp Compressor B 3+ P3= P₂ T3=470 K -Heat exchanger 7- Water T₁ = 23°C P₁ = 5 bar Fo 6 P5 P4 V₁> V4 WCVB Nozzle 4 Pump P6= 1 bar T6 = 23°C 5 T,= 860 K Figure 1. Compressor, heat exchanger, nozzle, and pump arrangement
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