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首页> 外文期刊>Applied Mechanics and Engineering >TRIPLE- DIFFUSIVE CONVECTION IN A MICROPOLAR FERROFLUID IN THE PRESENCE OF ROTATION
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TRIPLE- DIFFUSIVE CONVECTION IN A MICROPOLAR FERROFLUID IN THE PRESENCE OF ROTATION

机译：存在旋转的微孔铁液中的三重扩散对流

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摘要

This paper deals with the theoretical investigation of the triple-diffusive convection in a micropolar ferrofluid layer heated and soluted below subjected to a transverse uniform magnetic field in the presence of uniform vertical rotation. For a flat fluid layer contained between two free boundaries, an exact solution is obtained. A linear stability analysis theory and normal mode analysis method have been employed to study the onset convection. The influence of various parameters like rotation, solute gradients, and micropolar parameters (i.e., the coupling parameter, spin diffusion parameter and micropolar heat conduction parameter) on the onset of stationary convection has been analyzed. The critical magnetic thermal Rayleigh number for the onset of instability is also determined numerically for sufficiently large value of the buoyancy magnetization parameter M_1 (ratio of the magnetic to gravitational forces). The principle of exchange of stabilities is found to hold true for the micropolar fluid heated from below in the absence of micropolar viscous effect, microinertia, solute gradient and rotation. The oscillatory modes are introduced due to the presence of the micropolar viscous effect, microinertia , solute gradient and rotation, which were non-existent in their absence. In this paper, an attempt is also made to obtain the sufficient conditions for the non-existence of overstability.
机译：本文研究了在均匀垂直旋转的情况下在横向均匀磁场作用下加热并溶化的微极性铁磁流体层中三重扩散对流的理论研究。对于包含在两个自由边界之间的平坦流体层，可以获得精确的解。采用线性稳定性分析理论和正态分析方法研究了对流。分析了旋转，溶质梯度和微极性参数（即耦合参数，自旋扩散参数和微极性导热参数）等各种参数对平稳对流的影响。对于浮力磁化参数M_1的足够大的值（磁力与引力之比），还通过数值确定了不稳定开始的临界磁热瑞利数。发现在没有微极性粘性效应，微惯性，溶质梯度和旋转的情况下，从下面加热的微极性流体适用于交换稳定性的原理。由于存在微极性粘性效应，微惯性，溶质梯度和旋转，因此引入了振荡模式，而在不存在它们的情况下则不存在。在本文中，还尝试为不存在过度稳定性提供足够的条件。

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