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受磁场调控的黏弹性流体在双层系统中的热不稳定性

刘威

吉林大学学报(理学版)2025,Vol.63Issue(3):895-905,11.
吉林大学学报(理学版)2025,Vol.63Issue(3):895-905,11.DOI:10.13413/j.cnki.jdxblxb.2023417

受磁场调控的黏弹性流体在双层系统中的热不稳定性

Thermal Instability of Viscoelastic Fluids Regulated by Magnetic Field in Two-Layer System

刘威1

作者信息

  • 1. 南京航空航天大学数学系,南京 210016||南京航空航天大学飞行器数学建模与高性能计算工业和信息化部重点实验室,南京 210016
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摘要

Abstract

The author investigated the thermal convection flow of Oldroyd-B fluids in a fluid-porous medium two-layer system heated from below,and analyzed the effects of viscoelastic properties of the Oldroyd-B fluid on oscillatory instabilities and its dominant branches under a vertical magnetic field.It was assumed that the flow in the porous medium was controlled by a modified Darcy's law,and the boundaries were subject to isothermal conditions.Linear stability analysis of the control equations was conducted,and neutral curves for different parameters were obtained by using the Chebyshev collocation method.The results show that the effects of the thickness ratio and Chandrasekhar number on convective stability are opposite,and increasing the thickness ratio can gradually diminish the bimodal characteristics of the neutral curve.Additionally,as the magnetic field intensity increases,the start time of oscillatory convection is delayed,and the convective dominant branch shifts from short-wave branch to long-wave branch.After the conversion,the effect of magnetic field intensity on thermal convection stability is relatively small.

关键词

热对流/磁场/双层系统/黏弹性流体/Chebyshev配点法

Key words

thermal convection/magnetic field/two-layer system/viscoelastic fluid/Chebyshev collocation method

分类

数理科学

引用本文复制引用

刘威..受磁场调控的黏弹性流体在双层系统中的热不稳定性[J].吉林大学学报(理学版),2025,63(3):895-905,11.

基金项目

国家自然科学基金青年科学基金(批准号:11702135)和江苏省自然科学青年基金(批准号:BK20170775). (批准号:11702135)

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