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Water flowing in x direction has a rate of Jw = 3yz liters/minute/m2. The total flow or flux of water through the rectangular area with corners (0,0,0), (0,3,0), (0,0,2) and (0,3,2) m is


27) Water flowing in x direction has a rate of Jw = 3yz liters/minute/m2. The total flow or flux of water through the rectangular area with corners (0,0,0), (0,3,0), (0,0,2) and (0,3,2) m is

  • 1. 18 liters/minute [Option ID = 2937]
  • 2. 27 liters/minute [Option ID = 2938]
  • 3. 13 liters/minute [Option ID = 2939]
  • 4. 36 liters/minute [Option ID = 2940]

Answer: B

Flux is given as:

φ = ∬S B · dS

given :

B̅x = 3yz in x direction
ds = dy dz ax
φ = ∫(0 to 2) ∫(0 to 3) 3yz dy dz
= 3 ×
92
×
42
= 27

correct option is 2.

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