MATHEMATICAL MODELING OF THE SPREAD OF POLLUTANTS IN A CLOSED WATER AREA
Rubrics: ARTICLES
Authors:
1.
Emperor Alexander I St. Petersburg State Transport University
2.
Emperor Alexander I St. Petersburg State Transport University, Mozhaisky Military Space Academy
Type:
Article
Pages:
from 57
to 60
Status:
Published
Received:
11.01.2025
Accepted:
11.01.2025
Published:
11.01.2025
Subject area:
UDK УДК
Language:
Russian
Keywords:
boundary value problems of mathematical physics, mathematical modeling, diffusing substance, diffusion equation, pollution spot, polluting area, closed water area
Abstract (English):
Two-dimensional problems of diffusing substance propagation in a closed water area are considered. An analytical solution of boundary value problems for the diffusion equation in a circle of finite radius is obtained depending on the coordinates and time. This makes it possible to study the area of concentration of the diffusing substance above the maximum permissible. The considered mathematical models have an important applied value in the problem of environmental protection in the event of emergencies on ships and vessels.
Two-dimensional problems of diffusing substance propagation in a closed water area are considered. An analytical solution of boundary value problems for the diffusion equation in a circle of finite radius is obtained depending on the coordinates and time. This makes it possible to study the area of concentration of the diffusing substance above the maximum permissible. The considered mathematical models have an important applied value in the problem of environmental protection in the event of emergencies on ships and vessels.
Keywords:
boundary value problems of mathematical physics, mathematical modeling, diffusing substance, diffusion equation, pollution spot, polluting area, closed water area
boundary value problems of mathematical physics, mathematical modeling, diffusing substance, diffusion equation, pollution spot, polluting area, closed water area
1.
