How Do You Model Temperature Distribution in a Heated Cylinder?

In summary, the conversation discusses the creation of a simple heat transfer model involving a cylinder filled with air at a temperature of 300K, with a heated steel bottom wall at a constant temperature of 400K. The side walls and top are assumed to be adiabatic. The question is posed about which equations can be used to describe the temperature distribution with time and distance, and a resource recommendation is made for Transport Phenomena by Bird, Stewart, and Lightfoot as a helpful guide for solving heat transfer problems.
  • #1
Kalus
37
0
I'm hoping to start a simple heat transfer model. It's basically a cylinder filled with air at a temperature T=300K. The bottom wall of the cylinder, made of steel, is heated (and kept at the constant temperature of T=400K). The side walls and top for the moment are treated as adiabatic (since I assume it will make it easier to solve).

What equations can I use to describe the temperature distribution in the air with time and distance?

I'm really looking for a resource that explains a similar scenario or a fairly simple book on explaining how to solve heat transfer problems like these?

Thanks,

Kalus :)
 
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  • #2
See Transport Phenomena by Bird, Stewart, and Lightfoot.
 

1. What is unsteady state heat transfer?

Unsteady state heat transfer is the transfer of heat that occurs when there is a change in temperature or heat source over time. This type of heat transfer is also known as transient heat transfer.

2. What are the factors that affect unsteady state heat transfer?

The factors that affect unsteady state heat transfer include the temperature difference between the hot and cold objects, the thermal conductivity of the materials involved, the surface area of the objects, and the duration of the heat transfer process.

3. How is unsteady state heat transfer different from steady state heat transfer?

Unsteady state heat transfer differs from steady state heat transfer in that it involves a change in temperature or heat source over time, whereas steady state heat transfer occurs when the temperature and heat source remain constant.

4. What are some practical applications of unsteady state heat transfer?

Unsteady state heat transfer has many practical applications, including heating and cooling of buildings, cooking, and various industrial processes such as welding, casting, and drying. It is also important in understanding the Earth's climate and weather patterns.

5. How is unsteady state heat transfer studied and analyzed?

Unsteady state heat transfer is studied and analyzed through mathematical models and simulations, as well as experimental methods such as thermocouples and heat flux sensors. These methods allow scientists to understand and predict how heat will transfer in various systems and environments.

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