PROBLEM 2Consider the arrangement shown in Fig. 1. For this setup the streams of air and water floware separated, and the air is modelled as an ideal gas. The data for steady-state operationis 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 AirP₁ = 1 barT₁ = 270 Km₁ =0.5 kg/sCompressor AP2 = 3 barT₂=560 K8-2WCVATg = 35°CPg = P₁wwwwwwV₁= 5 m/sP4= 9 barT₁=900 KW₂Compressor B-Heat exchangerP3=P2T3=470 K7+WaterT = 23°CP₁ = 5 barP5 P4V5> V4NozzlecvBPumpP6= 1 barT6 = 23°CT5= 860 KFigure 1. Compressor, heat exchanger, nozzle, and pump arrangement

Answered: in the figure. Assume that heat tran s:…

in the figure. Assume that heat tran s: ne: he total power required by both com ne velocity of the air at the exit of th

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

PROBLEM 2
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
T₂=560 K
8
-2
WCVA
Tg = 35°C
Pg = P₁
www
www
V₁= 5 m/s
P4= 9 bar
T₁=900 K
W₂
Compressor B
-Heat exchanger
P3=P2
T3=470 K
7+
Water
T = 23°C
P₁ = 5 bar
P5 P4
V5> V4
Nozzle
cvB
Pump
P6= 1 bar
T6 = 23°C
T5= 860 K
Figure 1. Compressor, heat exchanger, nozzle, and pump arrangement

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Step 1: Write the enthalpy of air at inlet and exit of compressor.

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Step 2: (a) Determine the value of compressor work done-

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Step 3: (B)-The velocity of the air at the exit of nozzle is-

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Step 4: (c)- Find the mass flow rate of the water-

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Step 5: (d)- Find the power required by the pump.

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