3 years ago

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

Witold M.Lewandowski, Sergiej Leble

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.

Publisher URL: http://arxiv.org/abs/1710.09896

DOI: arXiv:1710.09896v1

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