Derivation of Hydro- and Electrohydrodynamic Equations by the Dimensional Method
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GROSU, Fiodor, BOLOGA, M.. Derivation of Hydro- and Electrohydrodynamic Equations by the Dimensional Method. In: Surface Engineering and Applied Electrochemistry, 2020, nr. 1(56), pp. 41-45. ISSN 1068-3755. DOI: https://doi.org/10.3103/S106837552001007X
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Surface Engineering and Applied Electrochemistry
Numărul 1(56) / 2020 / ISSN 1068-3755 /ISSNe 1934-8002

Derivation of Hydro- and Electrohydrodynamic Equations by the Dimensional Method

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

Pag. 41-45

Grosu Fiodor, Bologa M.
 
Institute of Applied Physics
 
Disponibil în IBN: 1 octombrie 2020


Rezumat

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.

Cuvinte-cheie
Compressible fluids, Convective transport, Dimensional analysis, Electrohydrodynamic equations, Liquid medium, Thermal conduction, Viscous fluids, Viscous friction