Mixed Convection in Ferrofluids Vertical Layer with Inclined Magnetic Field

Md. Habibur Rahman, Mst. Lovly Khatun, Sushmita Mondal
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Abstract

In this article, the flow characteristics and linear stability of mixed convection in a ferrofluid layer are investigated. The fluid layer is positioned between two vertically oriented and differently heated nonmagnetic plates under an inclined magnetic field with non-zero gravity. This study involves the patterns of fluid motion, heat transfer, and the effects of the inclined magnetic field with gravitational action. The objective of this article is to analyze the flow characteristics of smaller Prandtl number of fluid and figure out the significant comparisons with larger Prandtl numbers of fluids. The characteristic of every instability mode is examined for a fluid having a different Prandtl number than the one that was previously investigated. The influence of buoyancy effects undergoes a notable transformation, shifting from a destabilizing role in flows dominated by gravity to a stabilizing role in flows characterized by stronger magnetic effects. It is found that in both normal and oblique magnetic fields, the basic flow evolves into a state of greater stability, and wave propagation is faster with lower Prandtl numbers of fluids than with larger Prandtl numbers of fluids. Journal of Engineering Science 14(2), 2023, 31-45
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具有倾斜磁场的铁流体垂直层中的混合对流
本文研究了铁流体层中混合对流的流动特性和线性稳定性。流体层位于两块垂直方向且加热方式不同的非磁性板之间,处于重力不为零的倾斜磁场下。该研究涉及流体运动模式、热传递以及具有重力作用的倾斜磁场的影响。本文的目的是分析较小普朗特尔数流体的流动特性,并找出与较大普朗特尔数流体的显著比较。本文研究了普朗特数不同的流体的每种不稳定模式的特征。浮力效应的影响发生了显著的变化,从在重力主导的流动中起破坏稳定的作用转变为在磁效应较强的流动中起稳定作用。研究发现,在正磁场和斜磁场中,基本流动都会演变成一种更稳定的状态,而且流体的普朗特尔数越小,波的传播速度就越快,而流体的普朗特尔数越大,波的传播速度就越慢。
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审稿时长
16 weeks
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