About the solution of the linearized problem of movement of viscous heat-conducting liquid in the thermoelastic tube by means of Kirchhoff's untied equations

The untied equations like Kirchhoff, allowing to solve the connected linearized equations of thermoelasticity for solid bodies and the connected equations of system of Navier-Stokes for viscous heat-conducting liquid both in stationary, and in non-stationary cases are received. The equations are written down for scalar potentials of shift of a solid body and speed in liquid, and also for temperature fields in a solid body and liquid. The received equations give additional opportunities for calculations of the specified fields in the elastic areas contacting to liquid.