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An analytical solution of the problem of the thermal conductivity of a suspension containing core–shell particles was found. Solutions were found under the thickness of the shell tending to zero while the thermal conductivity of the shell was tending to zero and infinity. In the first case, the solution is shown to be equivalent to the solution that takes into account Kapitza interfacial thermal resistance. The role of contact Kapitza resistance in the processes of the thermal conduction of nanofluids is discussed.