Research Centre for Modeling and Simulation, National University of Sciences and Technology, Islamabad, Pakistan.
PLoS One. 2013 May 9;8(5):e61859. doi: 10.1371/journal.pone.0061859. Print 2013.
This investigation is concerned with the stagnation-point flow of nanofluid past an exponentially stretching sheet. The presence of Brownian motion and thermophoretic effects yields a coupled nonlinear boundary-value problem (BVP). Similarity transformations are invoked to reduce the partial differential equations into ordinary ones. Local similarity solutions are obtained by homotopy analysis method (HAM), which enables us to investigate the effects of parameters at a fixed location above the sheet. The numerical solutions are also derived using the built-in solver bvp4c of the software MATLAB. The results indicate that temperature and the thermal boundary layer thickness appreciably increase when the Brownian motion and thermophoresis effects are strengthened. Moreover the nanoparticles volume fraction is found to increase when the thermophoretic effect intensifies.
本研究关注的是具有指数拉伸特性的流片上的纳米流体的驻点流动。布朗运动和热泳效应的存在导致了一个耦合的非线性边值问题（BVP）。相似变换被用来将偏微分方程转化为常微分方程。同伦分析方法（HAM）被用来获得局部相似解，这使得我们能够在流片上方的固定位置研究参数的影响。数值解也使用 MATLAB 软件的内置求解器 bvp4c 得到。结果表明，当布朗运动和热泳效应增强时，温度和热边界层厚度显著增加。此外，当热泳效应增强时，纳米颗粒的体积分数也会增加。
