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A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is , and the temperature field in the fluid is T = 2x2 + xy + 4t , where x and y are the spatial coordinates, and t is the time. The time rate of change of temperature recorded by the probe at (x = 1, y = 1, t = 1) is _______.
  • a)
    4
  • b)
    0
  • c)
    18
  • d)
    14
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A tiny temperature probe is fully immersed in a flowing fluid and is m...

T = 2x2 + xy +4t Find dγ/dt at x = 1, γ = 1,t = 1
Using relation:

= 4 + 2(4 +1) + (1+ 3) x 1
= 4 +10 + 4 = 18
Hence, the correct option is (C). 
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A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is , and the temperature field in the fluid is T = 2x2 + xy + 4t , where x and y are the spatial coordinates, and t is the time. The time rate of change of temperature recorded by the probe at (x = 1, y = 1, t = 1) is _______.a)4b)0c)18d)14Correct answer is option 'C'. Can you explain this answer?
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