Estimating Energy Needed for Cooling Tunnel with 177.21kg/s Water Flow

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In summary, the conversation is about estimating the energy needed to run a cooling system that pumps a certain amount of water in a tunnel warmed by trains. The formula for thermal power is mentioned, but there is a question about the temperature difference and the parameter of mass M. The idea of using the Carnot heat engine is suggested, but the equations cannot be applied and assistance is requested.
  • #1
ante_S.
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A cooling system that pumps 177,21 kg/s of water in a tunnel warmed by trains with an average thermal output of 37,125 mega watts. I have to estimate the energy which is necessary to run the system in order to cool down water with the mass M. Both in the general case and on the assumption that the new water temperature is nearly the same.

I have never made an estimation in physics before. Do I have to calculate? Is there a difference between both cases?

Normally the formula for thermal power is p=(m*c*dT)/t. Can I apply it?

Thank you for your support.
 
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  • #2
You have a mass flow rate [itex]\dot{m}[/itex]=177,21 kg/s multiplied by the specific heat and temperature difference should equal the power. But what it the temperature difference.

Also, one is asking for the "energy which is necessary to run the system", which sounds like a fluid mechanics or hydraulics problem, and one would need more information.

What is mass M?
 
  • #3

What is the purpose of estimating energy needed for a cooling tunnel with 177.21kg/s water flow?

The purpose of estimating energy needed for a cooling tunnel is to determine the amount of energy required to cool the water flowing through the tunnel at a rate of 177.21kg/s. This information is important for designing and operating the cooling system efficiently and effectively.

What factors affect the amount of energy needed for cooling?

The amount of energy needed for cooling is affected by various factors such as the flow rate of water, the temperature difference between the water and the surrounding environment, the type and efficiency of the cooling system, and the length and diameter of the cooling tunnel.

How is energy needed for cooling calculated?

The energy needed for cooling can be calculated using the formula: Energy = mass flow rate x specific heat x temperature difference. In this case, the mass flow rate is 177.21kg/s, the specific heat of water is 4.186 joules/gram °C, and the temperature difference is the difference between the initial and final temperatures of the water in the cooling tunnel.

What are the units of measurement for energy needed for cooling?

The units of measurement for energy needed for cooling are joules (J) or kilowatt-hours (kWh). Joules are the standard SI unit for energy, while kilowatt-hours are commonly used in practical applications.

How can the estimated energy needed for cooling be used to optimize the cooling system?

By accurately estimating the energy needed for cooling, engineers and scientists can optimize the design and operation of the cooling system to ensure it is using the most efficient and cost-effective amount of energy. This can help reduce energy consumption and costs, as well as improve the overall performance of the cooling system.

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