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arXiv · 1902.00278

Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation

Francisco J. Fernández·Lino J. Alvarez-Vázquez·Aurea Martínez
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Abstract

This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer equation with the modified Navier-Stokes system following a Smagorinsky turbulence model, completed with a suitable set of mixed, nonhomogeneous boundary conditions of diffusive, convective and radiative type. We prove several theoretical results related to existence of solution, and propose a full algorithm for its computation, illustrated with some realistic numerical examples.

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Francisco J. Fernández, Lino J. Alvarez-Vázquez, Aurea Martínez. 2020-02-19. Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation. https://arxiv.org/abs/1902.00278

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