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首页> 外文期刊>International journal of non-linear mechanics >Unsteady flow of a fourth-grade fluid due to an oscillating plate
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Unsteady flow of a fourth-grade fluid due to an oscillating plate

机译：振荡板导致第四级流体不稳定流动

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摘要

The governing non-linear high-order, sixth-order in space and third-order in time, differential equation is constructed for the unsteady flow of an incompressible conducting fourth-grade fluid in a semi-infinite domain. The unsteady flow is induced by a periodically oscillating two-dimensional infinite porous plate with suction/blowing, located in a uniform magnetic field. It is shown that by augmenting additional boundary conditions at infinity based on asymptotic structures and transforming the semi-infinite physical space to a bounded computational domain by means of a coordinate transformation, it is possible to obtain numerical solutions of the non-linear magnetohydrodynamic equation. In particular, due to the unsymmetry of the boundary conditions, in numerical simulations non-central difference schemes are constructed and employed to approximate the emerging higher-order spatial derivatives. Effects of material parameters, uniform suction or blowing past the porous plate, exerted magnetic field and oscillation frequency of the plate on the time-dependent flow, especially on the boundary layer structure near the plate, are numerically analysed and discussed. The flow behaviour of the fourth-grade non-Newtonian fluid is also compared with those of the Newtonian fluid.
机译：针对半无限域中不可压缩的传导性第四级流体的非定常流动，构造了控制非线性高阶，空间六阶和时间三阶微分方程。不稳定的流动是由位于均匀磁场中的具有吸/吹气的周期性振荡的二维无限多孔板引起的。结果表明，通过基于渐近结构在无穷远处增加额外的边界条件，并通过坐标变换将半无限物理空间转换为有界的计算域，可以得到非线性磁流体动力学方程的数值解。特别地，由于边界条件的不对称性，在数值模拟中，构造了非中心差分方案并将其用于逼近新兴的高阶空间导数。数值分析和讨论了材料参数，均匀吸附或吹过多孔板，板的磁场和振荡频率对随时间变化的流动，特别是对板附近的边界层结构的影响。还比较了四级非牛顿流体的流动特性和牛顿流体的流动特性。

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