管内热对流逆定边界值问题解的性质

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI:10.1134/S002189442405002X

V.K. Andreev, I.V. Vakhrameev

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引用次数: 0

摘要

本文提出了一个问题，即在圆柱形管内，两种不相溶流体在管内固体表面恒定温差下的联合单稳态运动。从数学角度看，这是一个与其中一种流体沿管的压力梯度有关的邻接和逆问题。问题过度确定的条件是两种流体的指定非稳定总流量。找到了稳定解。在统一度量中获得了非稳态问题解的先验估计。根据这些估计值，制定了输入数据的充分条件，在这些条件下，稳定解是指数稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE

A problem is posed on a joint unsteady unidirectional motion of two immiscible fluids in a cylindrical tube with a constant temperature difference on the solid surface of the tube. From the mathematical viewpoint, this is an adjoint and inverse problem with respect to the pressure gradient of one of the fluids along the tube. The condition of problem overdetermination is a specified unsteady total flow rate of both fluids. A steady solution is found. A priori estimates of the solution of the unsteady problem in a uniform metric are obtained. Based on these estimates, sufficient conditions for input data are formulated at which the steady solution is exponentially stable.

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.