title: Power-law generalization of Newton’s formula for shear stress in a liquid in the form of a tensor rheological relation
metadata.name: dc.contributor.author
metadata.value: Pavlovsky, Valerii А.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-07-08T09:11:15Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-07-08T09:11:15Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pavlovsky V.A. Power-law generalization of Newton’s formula for shear stress in a liquid in the form of a tensor rheological relation. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 338–345.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.213
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37114
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A generalization of Newton’s formula for the shear stress in a fluid is carried out by giving
  it a power-law form and the corresponding rheological relation is written in tensor form.
  Depending on the exponent in this rheological ratio, one can come to a description of either
  a laminar or turbulent flow regime. In the latter case, there is a system of differential equations
  with the no-slip boundary condition. The proposed system of equations for turbulent
  fluid motion can be useful, at least, for obtaining preliminary, estimated characteristics
  of turbulent flow before starting numerical modeling using modern differential turbulence
  models. For some values of the exponent, this system can be used to describe the behavior
  of power-law fluids, as well as fluids with small additives of polymers in the manifestation
  of the Toms effect.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This study was carried out within the framework of the state task for the implementation of research
  works no. 075-03-2020-094/1 of 10.06.2020.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: power formulas
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalization of Newton’s formula
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Blasius formula
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stress tensor
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: differential equations of turbulent flow
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: analytical solutions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Power-law generalization of Newton’s formula for shear stress in a liquid in the form of a tensor rheological relation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 338-345.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37114/1/338-345.pdf
resources.format: Adobe PDF
resources.size: 298,74 kB