For the control volume shown, the pump power is 4 Watts, with a heat transfer of 6 Watts from the...

Question

For the control volume shown, the pump power is 4 Watts, with a heat transfer of 6 Watts from the fluid in the pump to the surroundings. Using the sign conventions from class, the rate of energy transfer to the fluid is; a) -2 Watts b) 10 Watts c) 2 Watts d) -10 Watts B. Which of the following assumptions must hold for the Bernoulli equation to to be applied: I. Unsteady flow. II. Inviscid flow. III. Compressible Flow. IV. Flow where heat and work transfer rates are zero. a) I, II, and II b) II, III, and IV c) I and III d) II and IV

Robert · Accepted Answer

Ans. 1 (A) 
 
For the given control volume,  
Power of pump, 4 WattP   
The amount of heat transfer, 6 WattQ   
The rate of energy transfer Power in Power Out
6 4
2 Watt
E Q W
E
E
 
  
  
 
  
So option ( )C is correct. 
 
Ans. 1(B) 
 
Bernoulli’s principle follows the conservation of energy, instead of transfer of heat and work flow in 
the system. The fluid must be incompressible and inviscid in nature. 
Thus, option (d) is correct. 
 
Ans. 2 
 
(a) 
 
 
 
 
 
(b) 
Temperature of the water, 
020T C   
Volume of the pipe, 30.1 mV   
Apply the continuity principle, the volumetric flow rate at the entry and exit will be same, 
int
2 2
( ) ( )
0.3 0.15
3.14 1.5 3.14
4 4
6 m/s
e ry exit
entry exit
exit
exit
Q Q
AV AV
V
V


    


(c) 
 
Equation of force in vertical direction,

For the control volume shown, the pump power is 4 Watts, with a heat transfer of 6 Watts from the fluid in the pump to the surroundings. Using the sign conventions from class, the rate of energy...

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