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Analytical solutions describing the oblique flow of a viscous incompressible fluid around a dendritic crystal
  • Dmitri Alexandrov,
  • Peter Galenko
Dmitri Alexandrov
Ural Federal University named after the first President of Russia B N Yeltsin
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Peter Galenko
Friedrich Schiller University Jena
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Abstract

This article considers the hydrodynamic problem of an oblique flow of a viscous incompressible fluid around the tip of a dendritic crystal. Approximate analytical solutions of Oseen’s hydrodynamic equations are obtained in 2D and 3D cases using special curvilinear coordinates. It is shown that the projections of the fluid velocity change significantly with a change in the flow slope and Reynolds number. The theory developed in this work has a limiting transition to the previously known solutions for the rectilinear (without tilt) fluid flow around a dendrite.

Peer review status:UNDER REVIEW

09 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
10 Mar 2021Assigned to Editor
10 Mar 2021Submission Checks Completed
13 Mar 2021Reviewer(s) Assigned