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Unsteady squeezing flow of water-based nanofluid between two parallel disks with slip effects: Analytical approach

机译:具有滑动效应的两个平行圆盘之间的水基纳米流体的非恒定挤压流动:分析方法

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The squeezing flow of an unsteady water-based nanofluid between two parallel disks has been analyzed in the current study. Thermal and solutal buoyancy along with heat source enhance the flow phenomena of free convective flow through a porous medium. In addition to that velocity slip and temperature slip are also accounted for in the boundary conditions. The similarity transformation is adopted to formulate the governing equations that convert the complex partial differential equations (PDEs) to nonlinear ordinary differential equations (ODEs). These transformed equations are handled analytically by using the variation parameter method (VPM). For computational purposes, the fixed numeric values of physical parameters are used and their behaviors are shown by means of graphs. The calculated results for the physical quantities of interest are shown in tables. The conformity of the solution is obtained in comparison to an earlier study in a particular case. The major findings are (i) the velocity profile has distinct variations, which are separated by the middle layer of the channel and (ii) enhancement in the heat transfer coefficient is noted due to the interaction of buoyancy parameter.
机译:在当前研究中已经分析了两个平行盘之间不稳定的水基纳米流体的挤压流动。热和溶液浮力以及热源增强了自由对流流过多孔介质的流动现象。除此以外,在边界条件下还考虑了速度滑移和温度滑移。采用相似变换来构造控制方程,该控制方程将复杂的偏微分方程(PDE)转换为非线性常微分方程(ODE)。通过使用变异参数方法(VPM)解析地处理这些变换方程。为了计算目的,使用物理参数的固定数值,并通过图形显示其行为。感兴趣的物理量的计算结果显示在表中。与特定案例中较早的研究相比,可以获得溶液的一致性。主要发现是(i)速度分布具有明显的变化,这些变化被通道的中间层隔开;(ii)由于浮力参数的相互作用,传热系数有所提高。

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