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Modelling heat transfer in heterogeneous media using fractional calculus

2013
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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This paper presents the results of modelling the heat transfer process in heterogeneous media with the assumption that part of the heat flux is dispersed in the air around the beam. The heat transfer process in a solid material (beam) can be described by an integer order partial differential equation. However, in heterogeneous media, it can be described by a sub-or hyperdiffusion equation which results in a fractional order partial differential equation. Taking into consideration that part of

doi:10.1098/rsta.2012.0146
pmid:23547224
fatcat:yxawy2x5vrhb7aguxbr7w4t37m