The purpose of the study is to investigate the effects of variable fluid properties, the velocity slip and the temperature slip on the time-dependent MHD squeezing flow of nanofluids between two parallel disks with transpiration. The boundary layer approximation and the small magnetic Reynolds number assumptions are used. The non-linear governing equations with appropriate boundary conditions are initially cast into dimensionless form by using similarity transformations and then the resulting equations are solved analytically via Optimal Homotopy Analysis Method (OHAM). A detailed parametric analysis is carried out through plots and tables to explore the effects of various physical parameters on the velocity temperature and nanoparticles concentration fields. The velocity distribution profiles for transpiration (suction/blowing) are parabolic in nature. In general, at the central region, these profiles exhibit the cross-flow behavior and also exhibit the dual behavior with the increase in the pertinent parameters. The temperature distribution reduces in the case of suction whereas the reverse trend is observed in the case of injection. The effects of temperature dependent thermophysical properties are significant on the flow field. For higher values of the fluid viscosity parameter, the velocity field increases near the walls. However, the transpiration effects are dominant and exhibit the cross-flow behavior as well as the dual behavior. The temperature and the concentration fields are respectively the increasing functions of the variable thermal conductivity and the variable species diffusivity parameters.

中文翻译：

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MHD挤压具有可变流体特性和蒸腾作用的平行盘之间的纳米流体的流动和传热

本研究的目的是研究两个平行盘之间具有蒸腾作用的可变流体特性，速度滑动和温度滑动对纳米流体随时间变化的MHD挤压流动的影响。使用边界层近似和小的雷诺数磁性假设。首先使用相似变换将具有适当边界条件的非线性控制方程转换为无量纲形式，然后使用最优同伦分析方法（OHAM）对所得方程进行解析求解。通过图和表进行详细的参数分析，以探索各种物理参数对速度温度和纳米颗粒浓度场的影响。蒸腾（吸/吹）的速度分布曲线本质上是抛物线形的。通常，在中心区域，这些轮廓显示出交叉流动行为，并且随着相关参数的增加，还表现出双重行为。在抽吸的情况下温度分布减小，而在注射的情况下观察到相反的趋势。温度相关的热物理性质的影响在流场上很重要。对于较高的流体粘度参数值，速度场在壁附近增大。然而，蒸腾作用是主要的，并且表现出错流行为以及双重行为。