We investigate the anomalies reported for the thermal conductivity (k ) of the Copper Oxides superconductors by developing a model Hamiltonian that incorporates the scattering of phonons with defects, grain boundaries, charge carriers, and phonons in the lattice. The lattice thermal conductivity dominates in superconductors is an artifact of strong phonon-defects and -impurity scattering mechanism below T_c. Later on, the scattering of electrons with impurities is investigated in order to assess their role towards thermal conduction. The anomalies are well accounted in terms of interaction among the phonons-impurity and the carrier-impurity. It is concluded that the behaviour of the thermal conductivity is determined by competition among the several operating scattering mechanisms for the heat carriers and a balance between electronic and phononic contributions.

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