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On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction

2008; Elsevier BV; Volume: 36; Issue: 4 Linguagem: Inglês

10.1016/j.mechrescom.2008.11.003

1873-3972

Christomir Christov,

Numerical methods in inverse problems

A material-invariant (frame indifferent) version of the Maxwell–Cattaneo law is proposed in which the relaxation rate of the heat flux is given by Oldroyd’s upper-convected derivative. It is shown that the new formulation allows for the elimination of the heat flux, thus yielding a single equation for the temperature field. This feature is to be expected from a truly frame indifferent description.