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Ecological Systems and Devices

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RADIAL TEMPERATURE PROFILES IN THE WELL DURING INJECTION OF RADIOACTIVE WASTES
A.I. Filippov, M.A. Zelenova, D.V. Ivanov, Sh.R. Akhmetov

Analytic asymptotic expressions for the determination of radial temperature profiles in a borehole for the disposal of liquid radioactive waste (LRW) with allowance for heat sources are obtained. The expression describing the radial temperature profile was obtained from the solution of the problem of heat exchange of a cylindrical fl ow in the fi rst asymptotic approximation, the fi nding of which required the formulation and analysis of the problem for the remainder term (the sum of all terms after the fi rst asymptotic coefficient) in order to determine the nonlocal mean integral boundary condition at the wellhead, which provides a unique non-trivial solution of the problem. The infl uence of a source due of radioactivity on the radial temperature distribution in the descending LRW fl ow is analyzed. It is shown that taking into account the heat source caused by radioactivity when pumping hot solutions whose temperature exceeds the natural ambient temperature leads to a decrease in the absolute value of the difference between the center and the wall of the well.
Keywords: heat transfer; radial temperature profi le; asymptotic method; heat source.

Contacts: E-mail: filippovai@rambler.ru

Pp. 23-31.

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