On various types of viscous two-fluid flows

Jürgen Socolowsky

Banach Center Publications (2008)

  • Volume: 81, Issue: 1, page 481-491
  • ISSN: 0137-6934

Abstract

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Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary convection. The solvability of two related problems is discussed. Also, an evolutionary problem on the viscous (isothermal) flow of two connected fluids down an inclined plane is investigated.

How to cite

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Jürgen Socolowsky. "On various types of viscous two-fluid flows." Banach Center Publications 81.1 (2008): 481-491. <http://eudml.org/doc/282029>.

@article{JürgenSocolowsky2008,
abstract = {Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary convection. The solvability of two related problems is discussed. Also, an evolutionary problem on the viscous (isothermal) flow of two connected fluids down an inclined plane is investigated.},
author = {Jürgen Socolowsky},
journal = {Banach Center Publications},
keywords = {free boundary value problems; viscous nonisothermal channel flows; Navier-Stokes equations; two-fluid flows; evolutionary flows; inclined plane},
language = {eng},
number = {1},
pages = {481-491},
title = {On various types of viscous two-fluid flows},
url = {http://eudml.org/doc/282029},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Jürgen Socolowsky
TI - On various types of viscous two-fluid flows
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 481
EP - 491
AB - Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary convection. The solvability of two related problems is discussed. Also, an evolutionary problem on the viscous (isothermal) flow of two connected fluids down an inclined plane is investigated.
LA - eng
KW - free boundary value problems; viscous nonisothermal channel flows; Navier-Stokes equations; two-fluid flows; evolutionary flows; inclined plane
UR - http://eudml.org/doc/282029
ER -

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