# 2 infinite plates, heat transfer question

• mjsteves
In summary, to find the gap size between two infinite plates with water as the fluid and silicon as the material, thermal resistances are typically set up and heat balance equations are written. The heat flow across the control volume is equal, and examples of similar problems can be found through a Google search.
mjsteves
how would you find the gap size between 2 infinite plates given that the fluid is water and the plates are silicon? the temp of water is 20 C and I am assuming that the heat transfer coefficient is 390 W/m^2K. i remember doing this stuff in heat transfer with temperature profiles and stuff but cannot remember how to do it and it is annoying. please help

In a problem like this you typically set up what are called thermal resistances. For example, the thermal resistance of convection IIRC is
$$\frac{1}{hA}$$
Conduction has a slightly different formulation. At that point, you write heat balance equations. The heat flow across any control volume is equal, so the heat across one of the plate equals the heat across the entire system.

This probably isn't the best explanation, but if you do a Google, I'm sure you'll find some example problems.

## 1. What is the concept behind the heat transfer question involving 2 infinite plates?

The concept behind this question is to understand how heat is transferred between two infinite plates, assuming steady state conditions and a constant temperature difference between the plates.

## 2. How do you calculate the heat flux between the 2 infinite plates?

The heat flux can be calculated using Fourier's Law, which states that the heat flux is equal to the thermal conductivity of the material multiplied by the temperature gradient.

## 3. What assumptions are made when solving this heat transfer problem?

Some common assumptions made include assuming steady state conditions, constant temperature difference between the plates, and uniform thermal conductivity of the material.

## 4. How does the distance between the plates affect the heat transfer rate?

The distance between the plates has a direct impact on the heat transfer rate. As the distance increases, the heat transfer rate decreases due to a larger thermal resistance between the plates.

## 5. Can this heat transfer problem be applied to real-world scenarios?

Yes, this heat transfer problem can be applied to various real-world scenarios such as heat transfer between two parallel walls, heat transfer in electronic devices, and heat transfer in building insulation.

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