粘性流体中含气腔多孔球壳旋转振荡的数学模型

IF 0.6 4区工程技术 Q4 MECHANICS

Fluid Dynamics Pub Date : 2025-04-28 DOI:10.1134/S0015462824605102

O. A. Bazarkina, N. G. Taktarov

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引用次数: 0

摘要

考虑了含球形气腔的水下多孔球壳旋转振荡运动引起粘性流体流动的数学模型。在Stokes近似中，描述多孔介质中粘性流体流动的时变Brinkman方程和描述多孔介质外粘性流体流动的Navier-Stokes方程得到了解析解。对所得到的数学模型进行了分析。考虑了含球形气腔的多孔球壳在粘性流体中绕固定轴匀速旋转的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Mathematical Model of Rotational Oscillations of a Porous Spherical Shell with a Gas Cavity in Viscous Fluid

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Mathematical Model of Rotational Oscillations of a Porous Spherical Shell with a Gas Cavity in Viscous Fluid

A mathematical model of viscous fluid flow induced by the rotational-oscillatory motion of a submerged porous spherical shell with a spherical gas cavity is considered. In the Stokes approximation, analytical solutions are obtained for the time-dependent Brinkman equation that describes viscous fluid flow in the porous medium and the Navier–Stokes equation that describes viscous fluid flow outside the porous medium. An analysis of the obtained mathematical model is given. The case of uniform rotation about a fixed axis of the porous spherical shell with a spherical gas cavity inside it in a viscous fluid is considered.

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来源期刊

Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS

CiteScore

1.30

自引率

22.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.