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Journal of Applied and Industrial Mathematics

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01-05-2022

Heat Convection in a Rotating Pipe

Authors: V. K. Andreev, I. V. Vakhrameev, E. P. Magdenko

Published in: Journal of Applied and Industrial Mathematics | Issue 2/2022

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Abstract

We study an unsteady-state boundary value problem on the motion of a fluid in a rotating cylindrical pipe. The Oberbeck–Boussinesq equations are used to describe the fluid motion. From the mathematical point of view, this is an inverse problem for the pressure gradients along the cylinder axis. Based on a priori estimates, we obtain conditions under which the solution of the steady-state inverse problem is exponentially stable. In Laplace transforms, the solution is found by quadratures. Sufficient conditions for the solution of the unsteady-state problem to reach a steady-state mode over time are given.

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Title: Heat Convection in a Rotating Pipe
Authors: V. K. Andreev
I. V. Vakhrameev
E. P. Magdenko
Publication date: 01-05-2022
Publisher: Pleiades Publishing
Published in: Journal of Applied and Industrial Mathematics / Issue 2/2022
Print ISSN: 1990-4789
Electronic ISSN: 1990-4797
DOI: https://doi.org/10.1134/S1990478922020016

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