Geodesic
Unsteady flow of Maxwell viscoelastic fluid near a critical point
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 92-104

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

Two-dimensional unsteady stagnation-point flow of viscoelastic fluids is studied assuming that the fluid obeys the upper-convected Maxwell (UCM) model. The solutions of governing equations are found in assumptions that components of extra stress tensor are polynomials of spatial variable along solid wall. A class of solutions for unsteady flow in the neighbourhood of a front or rear stagnation point on a plane boundary is considered, and a range of possible behaviour is revealed, depending on an initial stage (initial data) and on whether the pressure gradient is accelerating or decelerating function of time. The velocity and stress tensor's components profiles are obtained by numerical integration the system of nonlinear ordinary differential equation. The solutions of equations exhibit finite-time singularities depending on the initial data and the type of pressure gradient dependence on time.
Keywords: unsteady critical point flow, Maxwell viscoelastic media, upper convective derivative, blow–up solution
Mots-clés : Riccati equation. . 
@article{SJIM_2022_25_1_a6,
     author = {N. P. Moshkin},
     title = {Unsteady flow of {Maxwell} viscoelastic fluid near a critical point},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {92--104},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a6/}
}
TY  - JOUR
AU  - N. P. Moshkin
TI  - Unsteady flow of Maxwell viscoelastic fluid near a critical point
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2022
SP  - 92
EP  - 104
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a6/
LA  - ru
ID  - SJIM_2022_25_1_a6
ER  - 
%0 Journal Article
%A N. P. Moshkin
%T Unsteady flow of Maxwell viscoelastic fluid near a critical point
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2022
%P 92-104
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a6/
%G ru
%F SJIM_2022_25_1_a6
N. P. Moshkin. Unsteady flow of Maxwell viscoelastic fluid near a critical point. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 92-104. http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a6/