Geodesic
Viscous fluid flow between plane walls in presence of temperature gradient
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2021), pp. 26-38

Voir la notice de l'article provenant de la source Math-Net.Ru

Slow flow of incompressible viscous fluid confined by two parallel planes is studied in the paper. The flow is caused either by motion of one plane with respect to another or by pressure drop along the planes. It is supposed that fluid viscosity is the first-order polynomial of temperature and that its gradient is constant in the entire domain under study. These two reasons cause the flow to be disturbed (compared with isothermal case). Dependence of these disturbances on the type of flow and on the orientation of temperature gradient with respect to the flow is investigated by asymptotic methods. Temperature drop on distances equal to the gap between planes is supposed to be small during the investigation. It is shown that both fluid velocity and pressure may be disturbed. In the last case additional lift or drag force may act on the alien particles suspended in the fluid (if it contains any).
Mots-clés : viscous fluid
Keywords: Stokes approximation, variable viscosity, temperature gradient. 
@article{VTPMK_2021_2_a2,
     author = {A. O. Syromyasov and T. V. Menshakova},
     title = {Viscous fluid flow between plane walls in presence of temperature gradient},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {26--38},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a2/}
}
TY  - JOUR
AU  - A. O. Syromyasov
AU  - T. V. Menshakova
TI  - Viscous fluid flow between plane walls in presence of temperature gradient
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2021
SP  - 26
EP  - 38
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a2/
LA  - ru
ID  - VTPMK_2021_2_a2
ER  - 
%0 Journal Article
%A A. O. Syromyasov
%A T. V. Menshakova
%T Viscous fluid flow between plane walls in presence of temperature gradient
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2021
%P 26-38
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a2/
%G ru
%F VTPMK_2021_2_a2
A. O. Syromyasov; T. V. Menshakova. Viscous fluid flow between plane walls in presence of temperature gradient. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2021), pp. 26-38. http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a2/