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arXiv · 1710.09896

The study of temperature field impact on velocity of fluid in streamlines coordinates in free convection problem

Sergiej Leble·Witold M. Lewandowski
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Abstract

A transition to coordinates formed by streamlines and orthogonal ones are convenient to simplify the Navier-Stokes and Fourier-Kirchoff system. We derive transformation to such coordinates, taking into account a necessity to introduce integrating factor that is not equal to unity in a viscous flow. The transition allows to express approximately velocity module and the velocity vector inclination to vertical direction in terms of temperature gradient in explicit form.

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Sergiej Leble, Witold M. Lewandowski. 2017-10-26. The study of temperature field impact on velocity of fluid in streamlines coordinates in free convection problem. https://arxiv.org/abs/1710.09896

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