An oil cooler is used to cool lubricating oil from 70oC to 40oC. The cooling water enters the heat exchanger at 15oC and leaves at 25oC. The specific heat capacities of the oil and water are 2000 and 4200 J/Kg.K respectively, and the oil flow rate is 4 Kg/s. Calculate the water flow rate required. Calculate the true mean temperature difference for (two-shell-pass / four-tube-pass) and (one-shell-pass / two-tube-pass) heat exchangers respectively. Find the effectiveness of the heat exchangers.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An oil cooler is used to cool lubricating oil from 70oC to 40oC. The cooling water enters the heat exchanger at 15oC and leaves at 25oC. The specific heat capacities of the oil and water are 2000 and 4200 J/Kg.K respectively, and the oil flow rate is 4 Kg/s.

  1. Calculate the water flow rate required.
  2. Calculate the true mean temperature difference for (two-shell-pass / four-tube-pass) and (one-shell-pass / two-tube-pass) heat exchangers respectively.
  3. Find the effectiveness of the heat exchangers.
Expert Solution
Step 1

Given

  Oil temperatures

       T1 = 70o

       T2 = 40oC

Specific heat capacity of the oil = 2000 J/Kg.K

                              oil flow rate =4 Kg/s.

Water temperatures

       t1 = 15oC

       t2 = 25oC

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