Heat transfer between a hollow cylinder(flowing water inside) and a c?

In summary, the question is about calculating the heat conduction rate when a heated cylinder is placed inside a hollow cylinder with water passing through it. The heat transfer rate can be calculated using the formula Q = h.A.ΔT, where h is the heat transfer coefficient of water, A is the area wetted by water, and ΔT is the temperature difference between the water and the heated cylinder. Finding h can be difficult, but it can be done experimentally using heat exchangers. Alternatively, the heat transfer rate can be found using Q = m.c_p.ΔT, and h can be calculated by equating it with Q = h.A.Δt, where Δ
  • #1
Askara
20
0
let say i have a piece of metal cylinder (say 3cm dia) and heat it to 500 c, and put it inside a hollow cylinder with inside diameter 3cm (so they are touching) and outside diameter of say 8 cm), the hollow cylinder is empty inside so water pass through. is there anyway to calculate the heat conduction rate? meaning how much heat energy absorb per second by the water flow.

in other word, i have a cylinder heat it at 500 c and put it inside a water jacket. and want to find out heat dissipation rate of the water jacket
 
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  • #2
I didn't understand your question properly. You are putting a heated cylinder inside a hollow one of the same internal diameter. How can the water pass through the hollow one? Isn't it sealed using the smaller solid cylinder??
 
  • #3
For the question asked in the end... Yes it is possible. Again, it depends on whether the pipe is running full of water, or half or any other level.. The heat transfer rate is given by :
Q = h.A.ΔT where
h= heat transfer coefficient of water which depends on whether the water is still or flowing. If the water is stagnant in pipe, h≈ 20 to 100 W/[itex]m^{2}[/itex]K. If water is flowing, h usually lies between 300 and 10,000.
A is the area wetted by water. If the pipe is running full, A = ∏.d.L where d is the inner dia of pipe, L is the length of pipe
ΔT is the temp diff btw water and heated pipe. If the water is stationary, this value keeps on decreasing till the heat transfer is very small as both the temperatures become nearly equal..

Hope it's good enough :smile:
 
  • #5
Askara said:
i know that's how you calculater heat transfer rate but how do you determin h? 300-10000 is too different

Ah! Now I understand your question! :tongue:

Finding h would be difficult indeed. But it can be done experimentally using heat exchangers.
It's better to use Q= [itex]m^{.}[/itex] [itex]c_{p}[/itex] ΔT find heat transfer rate. Mind you, ΔT is the change in temperature over time of the cold water and NOT the difference in temperature between cylinder and water. This has to be done experimentally.

And if u want to find h, it can be done by equating Q= [itex]m^{.}[/itex] [itex]c_{p}[/itex] ΔT and Q = h A Δt where Δt is the log mean temp difference for the heat exchanger. If you want further info this site gives an idea: http://www.merusonline.com/heat-transfer
 

1. How does the flow rate of water affect heat transfer in a hollow cylinder?

The flow rate of water has a direct impact on the heat transfer in a hollow cylinder. As the flow rate increases, the amount of heat transferred also increases due to the increased contact between the water and the cylinder walls. This is because faster moving water has a higher rate of heat convection, which is the transfer of heat through a moving fluid.

2. What is the significance of the material of the cylinder in heat transfer?

The material of the cylinder plays a crucial role in heat transfer as it determines the thermal conductivity of the cylinder. Materials with higher thermal conductivity, such as metal, transfer heat more efficiently than materials with lower thermal conductivity, such as plastic. Therefore, the choice of material can greatly affect the overall efficiency of heat transfer in a hollow cylinder.

3. How does the temperature difference between the water and the cylinder walls affect heat transfer?

The greater the temperature difference between the water and the cylinder walls, the higher the rate of heat transfer. This is because heat always flows from a hotter object to a cooler one until both reach the same temperature. Therefore, a larger temperature difference results in a faster transfer of heat from the water to the cylinder walls.

4. Does the diameter of the hollow cylinder affect heat transfer?

Yes, the diameter of the hollow cylinder does affect heat transfer. A larger diameter means a larger surface area for heat to be transferred from the water to the cylinder walls. This results in a higher rate of heat transfer compared to a smaller diameter cylinder.

5. What other factors besides flow rate can affect heat transfer in a hollow cylinder?

Other factors that can affect heat transfer in a hollow cylinder include the length of the cylinder, the temperature and thermal conductivity of the surrounding environment, and the presence of any insulating materials. These factors can impact the rate and efficiency of heat transfer and should be taken into consideration when studying the process.

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