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Be careful not to become confused between two distinct but somewhat similar concepts: thermal conductivity and specific heat. Conductivity is the ability of a material to transfer heat. That is, if you had a long tube made of a given material, conductivity explains the rate at which heat would flow from one end to the other. Specific heat, on the other ...

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I think it's not possible to relax the boundary condition where $\frac{\partial T}{\partial r}|_{r=a} = 0$ , because the temperature function is defined for $a\leq r\leq b$ and $0\leq z\leq L$. If you don't consider the boundary condition, you are eliminating the insulation on the inner surface of the cylinder, whereas the insulation on the inner side is ...

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Sudden heating of a region of gas can produce a shock-wave which propagates temperature increase, with the leading edge of the shock-wave at the speed of sound within the gas being considered as a boundary or container, and the depth and density of the shock-wave being subject to temperature increase according to Boyle's law. (followed by a wave of decreased ...

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In general gases consisting of single atoms, i.e., the noble gases are much poorer heat conductors than molecular gases. The reason is that if a molecule hits another molecule or a hot wall its internal states, usually vibrations, can get excited. In other words, they pick up a little energy and if they then encounter another molecule or a cold wall, this ...

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you can transfer heat trough gas, it's only a bad heat conductor. In gasses heat will be mainly transported by convective heat transfer. So for example for air, if you are able to eliminate these convective currents or ''lock the air into place'' then it's practically an isolator. This is actually used in double glass windows, there they squeeze a gas in a ...

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