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In a counter flow heat exchanger, water flowing through a tube of 10 cm inner diameter is heated by steam condensing on the outside of the tube. The convective film coefficient on the water and steam side are estimated to be 12000 and 20000 k J/m2 hr degree. Neglecting tube thickness and its resistance to heat flow, workout the overall heat transfer coefficient for the heat exchanger
  • a)
    4500 k J/m2 hr degree
  • b)
    5500 k J/m2 hr degree
  • c)
    6500 k J/m2 hr degree
  • d)
    7500 k J/m2 hr degree
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a counter flow heat exchanger, water flowing through a tube of 10 c...
U = 1/h + h o.
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In a counter flow heat exchanger, water flowing through a tube of 10 c...
Given Data:
Inner Diameter of the tube (d) = 10 cm
Convective film coefficient on the water side (hi) = 12000 k J/m2hr degree
Convective film coefficient on the steam side (ho) = 20000 k J/m2hr degree

Overall Heat Transfer Coefficient:
The overall heat transfer coefficient (U) can be calculated using the following equation:

1/U = 1/hi + rdo/k + 1/ho
where,
rdo = outer tube diameter, which is equal to (d + 2t)
k = thermal conductivity of the tube material
t = thickness of the tube, which is neglected in this problem

As the tube thickness is neglected, the equation can be simplified as:

1/U = 1/hi + 1/ho

Substituting the given values, we get:

1/U = 1/12000 + 1/20000
1/U = 0.0000833
U = 1/0.0000833
U = 12000 k J/m2hr degree + 20000 k J/m2hr degree

Therefore, the overall heat transfer coefficient for the counter flow heat exchanger is 7500 k J/m2hr degree, which is option 'D'.
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