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Novel exact solutions to Navier-Stokes momentum equations describing an incompressible flluid

Oz, Yahya


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/255967</identifier>
  <creators>
    <creator>
      <creatorName>Oz, Yahya</creatorName>
      <givenName>Yahya</givenName>
      <familyName>Oz</familyName>
      <affiliation>Turkish Aerosp, Adv Mat Proc &amp; Energies Technol Ctr, R&amp;D &amp; Technol Directorate, Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Novel Exact Solutions To Navier-Stokes Momentum Equations Describing An Incompressible Flluid</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2022</publicationYear>
  <dates>
    <date dateType="Issued">2022-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/255967</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.55730/1300-0098.3327</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">An analytical solution to the incompressible Navier-Stokes momentum equations for a divergence-free flow del center dot(u) over right arrow ((x) over right arrow, t) = 0 with time-dependent dynamic viscosity mu (t) is presented. The demonstrated methodology holds for the physically relevent three dimensions. The constructed flow velocities (u) over right arrow((x) over right arrow, t) are eigenvectors of the vector operator curl. Moreover, vortex (omega) over right arrow ((x) over right arrow, t), helicity H ((x) over right arrow, t), enstrophy epsilon(t) and enstrophy evolution d epsilon(t)/dt are explicitly determined.</description>
  </descriptions>
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