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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect
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Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

机译：含尘流体流经可渗透拉伸/收缩表面的不稳定边界层流动的数值解，具有颗粒粘性效应

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Purpose - This present aims to present the numerical study of the unsteady stretching/shrinking flow of a fluid-particle suspension in the presence of the constant suction and dust particle slip on the surface. Design/methodology/approach - The governing partial differential equations for the two phases flows of the fluid and the dust particles are reduced to the pertinent ordinary differential equations using a similarity transformation. The numerical results are obtained using the bvp4c function in the Matlab software. Findings - The results revealed that in the decelerating shrinking flow, the wall skin friction is higher in the dusty fluid when compared to the clean fluid. In addition, the effect of the fluid-particle interaction parameter to the fluid-phase can be seen more clearly in the shrinking flow. Other non-dimensional physical parameters such as the unsteadiness parameter, the mass suction parameter, the viscosity ratio parameter, the particle slip parameter and the particle loading parameter are also considered and presented in figures. Further, the second solution is discovered in this problem and the solution expanded with higher unsteadiness and suction values. Hence, the stability analysis is performed, and it is confirmed that the second solution is unstable. Practical implications - In practice, the flow conditions are commonly varying with time; thus, the study of the unsteady flow is very crucial and useful. The problem of unsteady flow of a dusty fluid has a wide range of possible applications such as in the centrifugal separation of particles, sedimentation and underground disposable of radioactive waste materials. Originality/value - Even though the problem of dusty fluid has been broadly investigated, limited discoveries can be found over an unsteady shrinking flow. Indeed, this paper managed to obtain the second (dual) solutions, and stability analysis is performed. Furthermore, the authors also considered the artificial particle-phase viscosity, which is an important term to study the particle-particle and particle-wall interactions. With the addition of this term, the effects of the particle slip and suction parameters can be investigated. Very few studies in the dusty fluid embedded this parameter in their problems.
机译：目的-本发明旨在提供在表面上持续存在吸力和粉尘颗粒滑移的情况下，流体-颗粒悬浮液的非稳定拉伸/收缩流动的数值研究。设计/方法/方法-使用相似变换将流体和灰尘颗粒两相流的支配性偏微分方程简化为相关的常微分方程。数值结果是使用Matlab软件中的bvp4c函数获得的。研究结果-结果显示，在收缩流量减小的情况下，与清洁液相比，粉尘液中的壁皮肤摩擦力更高。另外，在收缩流中可以更清楚地看到流体-颗粒相互作用参数对流体相的影响。还考虑了其​​他无量纲的物理参数，例如非稳定性参数，吸力参数，粘度比参数，颗粒滑移参数和颗粒负载参数，并在图中显示。此外，在该问题中发现了第二种解决方案，并且该解决方案以更高的不稳定度和吸力值进行了扩展。因此，进行稳定性分析，并且确认第二溶液是不稳定的。实际意义-在实践中，流动条件通常随时间而变化；因此，对非定常流动的研究非常关键和有用。粉尘流体不稳定流动的问题具有广泛的可能应用，例如在颗粒的离心分离，沉降和放射性废料的地下处置中。独创性/价值-尽管对尘土飞扬的问题进行了广泛的研究，但在不稳定的收缩流中仍能发现有限的发现。确实，本文设法获得了第二个（双重）解，并进行了稳定性分析。此外，作者还考虑了人工颗粒相粘度，这是研究颗粒-颗粒和颗粒-壁相互作用的重要术语。加上该术语，可以研究颗粒滑移和吸力参数的影响。在粉尘状流体中，很少有研究将此参数嵌入其问题中。

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