1. For a fully developed flow through a pipe, the ratio of the maximum velocity to the average velocity is _________(fill in the blanks)
   

1. 1. Two

   
   
   

   2. Three

   
   
   

   3. Zero

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Two

   Correct Option: A

   Two

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2. The discharge in m³ / s for laminar flow through a pipe of diameter 0.04 m having a centre line velocity of 1.5 m/s is
   

1. 1. 	3π
      	50

      
      

   
   
   

   2. 	3π
      	2500

      
      

   
   
   

   3. 	3π
      	5000

      
      

   
   
   

   4. 	3π
      	10000

   
   
   

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1. View Hint View Answer Discuss in Forum

   u_max = 2 u_avg
   u_max = 2 u_avg
   1.5 = 2u_avg
   

   uavg =	1.5	m /s
   	2

   
   Q = A × V = A × u_avg
   

   Q =	π	d2 × uavg
   	4

   
   

   =	π	× (0.04)2 ×	1.5	=	3π	m3 /s
   	4		2		10000

   
   

   Correct Option: D

   u_max = 2 u_avg
   u_max = 2 u_avg
   1.5 = 2u_avg
   

   uavg =	1.5	m /s
   	2

   
   Q = A × V = A × u_avg
   

   Q =	π	d2 × uavg
   	4

   
   

   =	π	× (0.04)2 ×	1.5	=	3π	m3 /s
   	4		2		10000

   
   

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3. Shown below are three tanks, tank 1 without an orifice tube and tanks 2 and 3 with orifice tubes as shown. Neglecting losses and assuming the diameter of orifice to be much less than that of the tank, write expressions for the exit velocity in each of the three tanks.
   
   

1. 1. V₁ = √2gH
      

   
   
   

   2. V₂ = √2g(H + L)
      

   
   
   

   3. V₃ = √2g(H + L)

   
   
   

   4. All of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   V₁ = √2gH
   V₂ = √2g(H + L)
   V₃ = √2g(H + L)

   Correct Option: D

   V₁ = √2gH
   V₂ = √2g(H + L)
   V₃ = √2g(H + L)

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4. Consider steady flow of water in a situation where two pipe lines (pipe 1 and pipe 2) combine into a single pipe line (pipe 3) as shown in figure. The cross-sectional'area of all three pipelines are constant. The following data is given
   
   Assuming the water properties and the velocities to be uniform across the cross-section of the inlets and the outlet, the exit velocity (in m/s) in pipe 3 is
   

1. 1. 1
      

   
   
   

   2. 1.5
      

   
   
   

   3. 2
      

   
   
   

   4. 2.5

   
   
   

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1. View Hint View Answer Discuss in Forum

   Q1 + Q2 = Q3
   A₁V₁ + A₂V₂ = A₃V₃
   1 + 4 = 2.5 V₃
   or V₃ = 2 m/s

   Correct Option: C

   Q1 + Q2 = Q3
   A₁V₁ + A₂V₂ = A₃V₃
   1 + 4 = 2.5 V₃
   or V₃ = 2 m/s

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5. As the transition from laminar to turbulent flow is induced in a cross flow past a circular cylinder the value of the drag coefficient drops.

1. 1. False

   
   
   

   2. True

   
   
   

   3. Neither True nor False

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   True

   Correct Option: B

   True

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