Two stainless steel plates 10 mm thick are subjected to a contact pressure of 1 bar under vacuu

step 1 In this problem, I will use the formula of the temperature change that is d 'al t is equal to L

Two stainless steel plates 10 mm thick are subjected to a...

Two stainless steel plates $10 \mathrm{~mm}$ thick are subjected to a contact pressure of 1 bar under vacuum conditions for which there is an overall temperature drop of $100^{\circ} \mathrm{C}$ across the plates. What is the heat flux through the plates? What is the temperature drop across the contact plane?

Key Concepts

Conduction Heat Transfer

This is the process by which thermal energy is transferred through a material due to a temperature gradient, without the bulk movement of the material. It is fundamental in understanding how heat moves through solids and is typically described by the relation between the heat flux, the thermal conductivity of the material, and the temperature gradient present.

Fourier's Law

Fourier's Law of heat conduction provides a mathematical framework for calculating the heat flux through a material. It expresses that the rate of heat transfer per unit area is proportional to the negative temperature gradient and the material's thermal conductivity, forming the basis for determining the temperature distribution in conductive systems.

Thermal Contact Resistance

When two solid surfaces are in contact, imperfections and microscopic roughness can lead to a resistance to heat flow at the interface, known as thermal contact resistance. This phenomenon causes an additional temperature drop at the contact plane beyond what is expected from conduction through the bulk material, and is influenced by factors such as surface roughness and the applied contact pressure.

Effect of Contact Pressure

Contact pressure plays a critical role in thermal contact resistance by affecting the actual contact area between surfaces. Increased pressure tends to improve the mechanical contact, reducing the gaps and thereby decreasing the thermal contact resistance, which in turn minimizes the temperature drop at the interface.

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