<p>An approximate analytical solution to the problem of heat removal into the ground from a buried tubular heat exchanger consisting of a series of horizontal cylindrical pipes is presented. The problem is considered in a plane formulation under the assumption of a steady-state heat removal regime. The temperature field is modeled by the field of a point heat source of appropriate intensity. In the exact solution of the problem, the point source is located with some offset from the pipe center. The accuracy of this method for modeling heat transfer from the pipe surface is estimated with variation of the Biot number and the relative pipe spacing, as well as of heat transfer at the point directly above the pipe. The estimates carried out showed that the error in determining the pipe surface temperature when replacing it with a point heat source is insignificant. A method has been developed for calculating the thermal system with a horizontal ground heat exchanger of the tubular type, which makes it possible to determine the temperature distribution in the mass of ground and on its surface, the total heat flux released by the heat exchanger, and the distribution of heat flux density on the ground surface.</p>

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Analytical Solution for Heat Removal from a Ground Tubular Heat Exchanger

  • A. V. Dmitriev,
  • N. D. Yakimov,
  • V. V. Khar’kov,
  • M. O. Utkin

摘要

An approximate analytical solution to the problem of heat removal into the ground from a buried tubular heat exchanger consisting of a series of horizontal cylindrical pipes is presented. The problem is considered in a plane formulation under the assumption of a steady-state heat removal regime. The temperature field is modeled by the field of a point heat source of appropriate intensity. In the exact solution of the problem, the point source is located with some offset from the pipe center. The accuracy of this method for modeling heat transfer from the pipe surface is estimated with variation of the Biot number and the relative pipe spacing, as well as of heat transfer at the point directly above the pipe. The estimates carried out showed that the error in determining the pipe surface temperature when replacing it with a point heat source is insignificant. A method has been developed for calculating the thermal system with a horizontal ground heat exchanger of the tubular type, which makes it possible to determine the temperature distribution in the mass of ground and on its surface, the total heat flux released by the heat exchanger, and the distribution of heat flux density on the ground surface.