Help with Heat Transfer Problem - Homework Statement

In summary, the problem involves choosing between counterflow or parallel flow for a heat exchanger, as well as deciding which direction the water should flow and the term for the inner tube. The recommended choices are counterflow, inner tube, and annulus, with the final answer being obtained in 6 sections.
  • #1
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Homework Statement


Hey guys. I've been cracking whole day over this question to no avail. I mean I have no idea if it's correct or wrong. And I desperately have to get it done by tomorrow and it's already midnight here so would really appreciate any sort of help I can get. Here are the doubts that I'd like to clear.

1. Should it be counter flow or parallel flow? (I chose counter flow and I can't justify why)
2. Should the water fluids flowing from the inner or outer and why? (I chose inner and I can't justify why as well)
3. Is the term for inner tube called annulus?
3. Is the final answer obtained 6 sections?

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  • #2
The attached image contains the problem along with the diagram. Homework Equations N/AThe Attempt at a Solution 1. The flow between the inner and outer tubes should be counterflow. This is because when hot water flows through the inner tube, heat will be transferred from it to the surrounding environment. If the flow is in parallel, heat from the inner tube will be transferred to the outer tube instead of the environment. 2. The water should flow from the inner tube. This is because the purpose of the counterflow heat exchanger is to transfer heat from the inner tube to the environment. If the water were to flow in the opposite direction, heat would not be able to be transferred properly. 3. Yes, the term for the inner tube is called an annulus. 4. Yes, the final answer should be obtained in 6 sections.
 

1. What is heat transfer and why is it important?

Heat transfer is the movement of thermal energy from one object or system to another. It is important because it plays a crucial role in many natural and industrial processes, such as the heating and cooling of buildings, cooking, and power generation.

2. How can I determine the rate of heat transfer in a given problem?

The rate of heat transfer can be determined using the equation Q/t = kA(ΔT/Δx), where Q is the amount of heat transferred, t is the time, k is the thermal conductivity, A is the surface area, ΔT is the temperature difference, and Δx is the distance the heat is transferred.

3. What are the three modes of heat transfer?

The three modes of heat transfer are conduction, convection, and radiation. Conduction is the transfer of heat through a solid material, convection is the transfer of heat through fluids, and radiation is the transfer of heat through electromagnetic waves.

4. How can I calculate the heat transfer coefficient?

The heat transfer coefficient can be calculated using the equation h = Q/(AΔT), where Q is the amount of heat transferred, A is the surface area, and ΔT is the temperature difference between the two objects.

5. Can you provide an example problem on heat transfer?

Sure, here's an example: A metal rod with a length of 2 meters and a cross-sectional area of 0.2 square meters has a temperature difference of 50 degrees Celsius between its ends. If the thermal conductivity of the metal is 100 W/mK, what is the rate of heat transfer through the rod?

Using the formula Q/t = kA(ΔT/Δx), we can calculate the rate of heat transfer to be 5000 watts.

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