Geodesic
Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 24 (2020) no. 3, pp. 528-541

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

The paper discusses a class of exact solutions of the Oberbeck–Boussinesq equations suitable for describing three-dimensional nonlinear layered flows of a vertically swirling viscous incompressible fluid. An inhomogeneous distribution of the velocity field (there is a dependence of the field components on the horizontal coordinates) generates a vertical swirl in the fluid without external rotation (excluding Coriolis acceleration). Setting the linearly distributed heat field and the field of shear stresses at the boundaries of the flow region is one of the reasons inducing convection in a viscous incompressible fluid. The main attention is paid to the study of the properties of the temperature field. The effect of vertical twist on the distribution of isolines of this field is studied. It is shown that the homogeneous component of the temperature field can be stratified into several zones relative to the reference value, and the number of such zones does not exceed nine. The inclusion of inhomogeneous components of the temperature field can only decrease this number. It is also demonstrated that the class discussed in the paper allows one to generalize the previously obtained results on modeling convective flows of viscous incompressible fluids.
Keywords: layered convection, shear stress, counterflow, system of Oberbeck–Boussinesq equations, vertical twist.
Mots-clés : exact solution, stratification 
@article{VSGTU_2020_24_3_a5,
     author = {N. V. Burmasheva and E. Yu. Prosviryakov},
     title = {Convective layered flows of a vertically whirling viscous incompressible fluid. {Temperature} field investigation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {528--541},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a5/}
}
TY  - JOUR
AU  - N. V. Burmasheva
AU  - E. Yu. Prosviryakov
TI  - Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2020
SP  - 528
EP  - 541
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a5/
LA  - en
ID  - VSGTU_2020_24_3_a5
ER  - 
%0 Journal Article
%A N. V. Burmasheva
%A E. Yu. Prosviryakov
%T Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2020
%P 528-541
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a5/
%G en
%F VSGTU_2020_24_3_a5
N. V. Burmasheva; E. Yu. Prosviryakov. Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 24 (2020) no. 3, pp. 528-541. http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a5/