i) ii) State the assumptions used to arrive at the above equation. Explain why the "log-mean" temperature difference above is a more appropriate temperature different for heat exchangers than, say, the simple arithmetic mean of inlet and outlet temperature difference.
Heat Exchangers
Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.
Heat Exchanger
The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.
I need help on this question: (These questions require the use of Roger and Mayhew Steam Tables)
a) In a concentric-pipe heat exchanger, one of the fluids is a condensing vapour and the
other is the coolant. Sketch the variation in fluid temperatures of two fluids as they
flow through the heat exchanger. Indicate clearly the inlet and outlet of the coolant
and its direction of flow.
b) (is in the picture provided)
![For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is
given by
Q = U₂Ą, ATLM
where U, is the overall heat-transfer coefficient for the heat exchanger, based on the
outside surface area of the inner tube, A, is the outside surface area of the inner
tube and ATM is the relevant temperature difference given by
ATLM =
(T₂ - T₁)
T₁
In
-T₂²
where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the
inlet and outlet temperatures respectively of the coolant.
i) State the assumptions used to arrive at the above equation.
ii)
Explain why the "log-mean" temperature difference above is a more appropriate
temperature different for heat exchangers than, say, the simple arithmetic mean
of inlet and outlet temperature difference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F507f99da-9967-4c1f-a8fd-4e55d78bcba3%2F76bb0fab-916a-473b-96a1-9686effc8f03%2Fg4mur6_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)