Geodesic
Solution of convection problem in a rotating tube by the Fourier method
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 17-25

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

The non-stationary boundary value problem on the motion of a fluid in a rotating cylindrical pipe is studied in this paper,. The Oberbeck-Boussinesq equations are used to describe the motion of a fluid. From a mathematical point of view, the problem is inverse with respect to pressure gradient along the axis of the cylinder. The solution is found with the use of the method of separation of variables in the form of special Fourier series. Sufficient conditions are given for the solution of a non-stationary problem to reach a stationary regime with increasing time.
Keywords: inverse problem, asymptotic behaviour, method of separation of variables , Bessel functions.
Mots-clés : convection 
@article{JSFU_2023_16_1_a1,
     author = {Igor V. Vakhr{\cyra}meev and Evgeniy P. Magdenko},
     title = {Solution of convection problem in a rotating tube by the {Fourier} method},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {17--25},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a1/}
}
TY  - JOUR
AU  - Igor V. Vakhrаmeev
AU  - Evgeniy P. Magdenko
TI  - Solution of convection problem in a rotating tube by the Fourier method
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2023
SP  - 17
EP  - 25
VL  - 16
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a1/
LA  - en
ID  - JSFU_2023_16_1_a1
ER  - 
%0 Journal Article
%A Igor V. Vakhrаmeev
%A Evgeniy P. Magdenko
%T Solution of convection problem in a rotating tube by the Fourier method
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2023
%P 17-25
%V 16
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a1/
%G en
%F JSFU_2023_16_1_a1
Igor V. Vakhrаmeev; Evgeniy P. Magdenko. Solution of convection problem in a rotating tube by the Fourier method. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 17-25. http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a1/