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Superheated steam, electric heating

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pego33

Student
Jan 23, 2021
1
Hello, superheated steam at 114 °C is heated by electric cartridge with surface temperature Ts = 800 °C of 20 mm diameter and 450 mm length. Electric heater should heat up steam from 114 °C to 700 °C, and i have to find out just such power input to the electric heater that it is in balance with the ability of the steam to take heat from the electric heater. Workinf presure inside vessel is 1,5 bar and steam flow is 40 kg/h. there is no outside source of flow, such as ventilator, etc. just difference of steam density, so it should be problem about free convection
I tried to figure it out, but after finding heat transfer coefficient (W/m2K) and calculation of total electric power into electric heater, seems kind of wierd to me. Thank you for any solutions or advice.
 
 https://files.engineering.com/getfile.aspx?folder=39da5f4b-e3eb-4622-9d73-03094e12d768&file=problems_II.png
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Is there any suggestion that the total amount of energy contained within the vessel changes as time goes on? What does that tell you about the power going in? Does that point you towards something that's easy to calculate?

A.
 
You have steam at 114C moving past a heater at 40 kg/h. That implies an amount of energy.

The heater has to supply enough more energy to raise the steam temp from 114C to 800C. This implies a larger amount of energy.

Don't you calculate the energy in the input steam and the energy in the output steam and equate those two to get the needed heater output?

Keith Cress
kcress -
 
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