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<creators>
<creator>
<creatorName>Grosu, F.P.</creatorName>
<affiliation>Institutul de Fizică Aplicată, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Bologa, M.C.</creatorName>
<affiliation>Institutul de Fizică Aplicată, Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Towards the derivation of hydrodynamics equations by the dimensional analysis method</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2018</publicationYear>
<relatedIdentifier relatedIdentifierType='ISBN' relationType='IsPartOf'></relatedIdentifier>
<subjects>
<subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>532.5:519.6:517.958</subject>
</subjects>
<dates>
<date dateType='Issued'>2018</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Conference Paper</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>The notion of convective transfer when the value of <em>F </em>varies both at a given point (locally) and due to the motion of the liquid is widely used in the hydrodynamics: &nbsp;, (1) where <strong>v </strong>is the velocity field. If the right-hand side of the equation (1) were known, then we would have an equation (law) for the evolution of the quantity <em>F</em>. Therefore, the essence of the derivation of the equations of hydrodynamics is the determination of the right-hand side. We propose to seek a solution in the following form ( is the correction factor, p is the pressure): (v , v , v ) x y zwhere <em>k,l,m,n </em>are exponents found from (2) by the dimensional analysis method. Example: &nbsp;1. The equation for mass conservation (equation of continuity). Letting and adding the ―trial function‖ ( ) with a multiplier to the right-hand side of (1), we get the solution: F &nbsp;2. The equation of convective heat conductivity. Starting from the dimensional equation &nbsp;(4) 3. The equation of convective diffusion. Similar to the previous case &nbsp;(5) 4. Equations of motion for an ideal fluid (Euler&#39;s equation). &nbsp;&nbsp;(6) [ ( ) ] p t 6. Equations of motion for a viscous fluid (Navier-Stokes equation). The force of viscous friction: &nbsp;(,) ( , , , ) m n k p p <em>m=2; n=1;k=0</em>. 2 2 M L T, (7) 2 () () rot(rot) 7. Navier-Stokes equation in the modern form &nbsp;2 [ ( ) ] ( / 3) ( ) p t &nbsp;</p></description>
</descriptions>
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<format>application/pdf</format>
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