I have one doubt can't we enhance or suppress the rate of heat transfer through conduction by using magnetic field inline and reverse to the flow of heat? as the both conduction and magnetic field operate at atomic level..
Regrettably there is no known influence of magnetic fields on the motion of phonons in solids. And in the absence of a current all a magnetic field will do to an electron is align it.
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However, think about how one might orient microscopic particles in a polymer.
Unfortunately the answer to your question is not only taking into account the phonons. These are not the only particles to carry heat. For instance, the electrons can do it in a metal. And as the magnetic field interacts with the electrons then you can have an effect depending of the geometry and the intensity of the magnetic field that you apply through a Hall effect (classical, quantum:integer or fractional, spin). Wiedemann-Franz law gives you one direct relationship between electric and thermal conductivities.
Daniel Baldomir Sir,
Thank you for the answer. I strongly believe that definitely magnetic field affects the rate of heat transfer through conduction. Can you please provide me the relation given by Wiedemann-Franz. I want to do research in that field. Can you please suggest me some of the articles which can help me to get more knowledge in that area.
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