In this paper, the heat-transfer enhancement phenomena have been explored for non-axisymmetric Homann stagnation-point flow of Maxwell fluid. Furthermore, Buongiorno’s model for nanofluid is utilized to study remarkable impacts of random (Brownian) motion and thermophoresis of dispersed nanoparticle. The Maxwell nanofluid generates new class of asymmetric stagnation-point flows that depends on ratio γ=b∕a (b is shear and a is strain rate) and Deborah number β1. The numerical and asymptotic consequences of leading equations for current model are obtained using shooting technique. The solution is obtained for diverse values of involved parameters over γ. The wall shear stress, heat/mass transfer rate, velocities, temperature distributions and nanoparticle concentration compared to their large-γ asymptotic behaviors were presented for different values of involved parameters. It is observed that the numerical outcomes of wall shear stress, heat-transfer rate and mass flux best agree with their perturbative solution for large-γ. Moreover, the wall shears f′′(0), g′′(0) grow as viscoelasticity raises. The reduction in heat flux and particles mass diffusion occurs near the wall boundary-layer due to clustering of nanoparticles. However, heated surface during thermophoresis is pushed nanoparticles into Brownian motion which constitute to enhance the heating process.

中文翻译：

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麦克斯韦纳米流体向固定表面的非轴对称霍曼驻点流动

本文研究了麦克斯韦流体非轴对称霍曼驻点流动的传热增强现象。此外，Buongiorno 的纳米流体模型用于研究分散纳米粒子的随机（布朗）运动和热泳的显着影响。麦克斯韦纳米流体产生取决于比率的新型非对称驻点流γ=b∕一种(b是剪切和一种是应变率）和黛博拉数β1. 使用射击技术获得当前模型的前导方程的数值和渐近结果。对于所涉及的参数的不同值，获得了解决方案γ. 壁剪切应力、传热/传质速率、速度、温度分布和纳米粒子浓度与它们的大-γ针对所涉及参数的不同值呈现渐近行为。观察到壁面剪应力、传热率和质量通量的数值结果最符合它们的大-γ. 此外，墙剪F''(0),G''(0)随着粘弹性的增加而增长。由于纳米粒子的聚集，热通量和粒子质量扩散的减少发生在壁边界层附近。然而，在热泳过程中被加热的表面被推动纳米粒子进入布朗运动，从而增强了加热过程。