Purpose

The purpose of this study is to investigate partial magnetic source (MS) effect on natural convection (NC) flow of a ferrofluid flow in a cavity with sinusoidally heated vertical walls. The combination of ferrohydrodynamics and magnetohydrodynamics due to the variable magnetic field (MF) and magnetite nanoparticles in one part of the cavity, and the classical NC in the other part of the cavity are concerned.

Design/methodology/approach

The dimensionless equations in stream function-vorticity form are numerically solved by radial basis functions (RBF) based collocation method.

Findings

A remarkable change in fluid flow and heat transfer is noted if the MS location is close to the left sinusoidally heated wall. In particular, the average Nusselt number is the smallest for the middle centered partial MF through the left wall at a large Hartmann number.

Research limitations/implications

RBF collocation approach is limited to small geometries due to the obtained solution globally in the entire domain of the problem.

Practical implications

If the partial restriction of the effect of MF is done in real life, it would be a control parameter at some required/requested areas of the concerned problem.

Social implications

This is a physical problem.

Originality/value

If the proposed idea of partial variable MF is able to be applied to a system in real life, it would be a good controller on fluid flow and heat transfer. RBF-based methods are also alternative numerical procedures to solve heat transfer and fluid flow problems.

中文翻译：

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在存在部分可变磁场的情况下，充满铁磁流体的正弦加热腔中的自然对流

目的

本研究的目的是研究部分磁源 (MS) 对具有正弦加热垂直壁的空腔中铁磁流体自然对流 (NC) 流动的影响。由于腔的一部分中的可变磁场（MF）和磁铁矿纳米颗粒导致的铁流体动力学和磁流体动力学的组合，以及腔的另一部分中的经典NC。

设计/方法/途径

采用基于径向基函数（RBF）的配置方法对流函数-涡度形式的无量纲方程进行数值求解。

发现

如果 MS 位置靠近左正弦加热壁，则会注意到流体流动和传热的显着变化。特别地，平均努塞尔数对于穿过左壁的中间居中部分 MF 在较大的哈特曼数处是最小的。

研究局限性/影响

由于在整个问题域中全局获得解决方案，RBF 搭配方法仅限于小几何形状。

实际影响

如果在现实生活中对 MF 的影响进行部分限制，它将成为有关问题的某些要求/要求区域的控制参数。

社会影响

这是生理问题。

原创性/价值

如果所提出的部分变量 MF 的想法能够应用于现实生活中的系统，它将成为流体流动和传热的良好控制器。基于径向基函数的方法也是解决传热和流体流动问题的替代数值程序。