11. The Newtonian fluid has the following velocity field:
    = x²yî + 2xy²ĵ - yz³k̂
    The rate shear deformation ε_yz at the point x = –2, y = –1 and z = 2 for the given flow is

1. 1. –6

   
   
   

   2. –2

   
   
   

   3. –12

   
   
   

   4. 4

   
   
   

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1. View Hint View Answer Discuss in Forum

   V = x⊃î + 2xy²zĵ - yz²̂k
   Shear strain
   

   yz =	1		δv	+	δw		=	1	(2xy² - z³)
   	2		δz		δy			2

   
   at (–2π, 2), we get
   

   yz =	1	(- 4 - 8)) = - 6
   	2

   Correct Option: A

   V = x⊃î + 2xy²zĵ - yz²̂k
   Shear strain
   

   yz =	1		δv	+	δw		=	1	(2xy² - z³)
   	2		δz		δy			2

   
   at (–2π, 2), we get
   

   yz =	1	(- 4 - 8)) = - 6
   	2

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12. The velocity potential function for a source varies with the distance r as

1. 1. 1/r

   
   
   

   2. 1/r²

   
   
   

   3. er

   
   
   

   4. In r

   
   
   

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1. View Hint View Answer Discuss in Forum

   Ur =	δφ	-	- q
   	δr		2πr

   
   

   φ =	- q	In r + c
   	2π

   
   (2) 1 –d, 2 – d, 3 - c
   (3) Closed contour in a flow field.

   Correct Option: D

   Ur =	δφ	-	- q
   	δr		2πr

   
   

   φ =	- q	In r + c
   	2π

   
   (2) 1 –d, 2 – d, 3 - c
   (3) Closed contour in a flow field.

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