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Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip

机译：可变导热系数和粘度对对流加热和速度滑移对Casson纳米流体流动的影响

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摘要

This work investigates the effects of combined variable viscosity and thermal conductivity, nonlinear radiation and non-Darcian porous medium on a boundary layer MHD Casson nanofluid flow over a vertical flat plate with convective heating and velocity slip boundary conditions. The governing transport nonlinear partial differential equations and the boundary conditions are non-dimensionalized. The resulting system of coupled partial differential equations is then reduced to a set of coupled nonlinear ordinary differential equations using similarity transformation. Galerkin weighted residual method (GWRM) is then employed to solve the resulting set of equations. Numerical results are obtained for dimensionless velocity, temperature and nanoparticle volume fraction (nanoparticle concentration). It is found that the velocity increases, while both temperature and nanoparticle volume fraction decrease with increased values of variable thermal conductivity and viscosity. Comparisons are carried out with published data in the literature thereby validating the numerical results. An excellent agreement is observed. Furthermore, this present study can find applications in the process involving nanofluid operations.
机译：这项工作研究了对流加热和速度滑移边界条件对垂直平板上边界层MHD Casson纳米流体流动的影响，包括可变粘度和热导率，非线性辐射和非达西多孔介质的组合影响。控制输运非线性偏微分方程和边界条件是无量纲的。然后，使用相似变换将耦合偏微分方程的所得系统简化为一组耦合非线性常微分方程。然后采用Galerkin加权残差法（GWRM）求解所得的方程组。获得了无量纲速度，温度和纳米粒子体积分数（纳米粒子浓度）的数值结果。发现速度增加，而温度和纳米颗粒体积分数均随着可变的热导率和粘度的值增加而降低。与文献中的公开数据进行比较，从而验证了数值结果。观察到极好的协议。此外，本研究可以发现涉及纳米流体操作的过程中的应用。

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