This article aims to present the flow and heat transfer characteristics of a nanofluid past an elastic sheet having variable thickness in the presence of a magnetic field. Vanishing nanoparticle flux at the boundary has been taken into account for the passive control of nanoparticles. Two-phase model for the nanofluid has been considered. With the help of similarity transformations, the governing nonlinear partial differential equations are converted into nonlinear ordinary differential equations along with the appropriate boundary conditions. The reduced equations are then solved numerically. The effects of buoyancy parameter, magnetic parameter, Brownian motion, thermophoresis parameter etc. on velocity, temperature and nanoparticle volume fraction are presented graphically and analysed in detail. Velocity, temperature and nanoparticle volume fraction are decreasing functions of wall thickness parameter for decelerated flow. Due to increasing values of thermophoresis parameter, the rate of heat transfer at the surface reduces while with the increase in the Brownian motion parameter the mass transfer rate at the surface increases.

中文翻译：

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纳米流体经过厚度可变的拉伸表面的 MHD 混合对流和消失的纳米粒子通量

本文旨在展示纳米流体在存在磁场的情况下通过具有可变厚度的弹性片的流动和传热特性。纳米粒子的被动控制已经考虑了边界处消失的纳米粒子通量。已经考虑了纳米流体的两相模型。在相似变换的帮助下，控制非线性偏微分方程随着适当的边界条件被转换为非线性常微分方程。然后对简化的方程进行数值求解。浮力参数、磁参数、布朗运动、热泳参数等对速度、温度和纳米颗粒体积分数的影响进行了图形化的呈现和详细分析。速度，温度和纳米颗粒体积分数是减速流壁厚参数的递减函数。由于热泳参数的增加，表面的传热速率降低，而随着布朗运动参数的增加，表面的传质速率增加。