Initial Boundary Value Problem on the Motion of a Viscous Heat-Conducting Liquid in a Vertical Pipe

被引：0

作者：

Andreev, Victor K. ^{[1
,2
]}

Uporova, Alyona I. ^{[3
]}

机构：

[1] SB RAS Krasnoyarsk, Inst Computat Modelling, Krasnoyarsk, Russia

[2] Siberian Fed Univ Krasnoyarsk, Krasnoyarsk, Russia

[3] SB RAS Krasnoyarsk, Krasnoyarsk Sci Ctr, Fed Res Ctr, Krasnoyarsk, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2023年 / 16卷 / 01期

关键词：

initial boundary value problem; a priori estimate; Fourier series; convection;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial-boundary value problem arising in a modeling an unsteady unidirectional convective flow in vertical heat exchangers with an arbitrary cross section is researched. An a priori estimate in L-2 is obtained and uniqueness of the problem solution is proved. For a rectangular and circular sections solution was found in the form of double Fourier series. Sufficient conditions for stabilization of solution to rest with increasing time are given.

引用

页码：5 / 16

页数：12

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