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Derivation of Hydro- and Electrohydrodynamic Equations by the Dimensional Method

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Abstract

The use of dimensional analysis to solve some problems of hydrodynamics associated with convective transport of a liquid medium is presented. In particular, this forms the basis of deriving equations of continuity, thermal conduction, diffusion, and motion of ideal (Euler) and viscous fluids (Navier–Stokes), with some complements from the field of electrohydrodynamics. In addition, the problem of the presence of two forces of viscous friction is solved, and the problems of sliding and deformation (in compression–extension in a compressible fluid). Formulas for these forces are derived.

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Authors and Affiliations

  1. Institute of Applied Physics, M-2028, Chisinau, Republic of Moldova

    F. P. Grosu & M. K. Bologa

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  1. F. P. Grosu
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  2. M. K. Bologa
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Correspondence to M. K. Bologa.

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Translated by M. Myshkina

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Grosu, F.P., Bologa, M.K. Derivation of Hydro- and Electrohydrodynamic Equations by the Dimensional Method. Surf. Engin. Appl.Electrochem. 56, 41–45 (2020). https://doi.org/10.3103/S106837552001007X

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  • DOI: https://doi.org/10.3103/S106837552001007X

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