Rasool Ghulam, Zhang Ting
School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, PR China.
Heliyon. 2019 Apr 5;5(4):e01479. doi: 10.1016/j.heliyon.2019.e01479. eCollection 2019 Apr.
A typical base fluid such as water, oil or glycol is poor conductor of heat due to deficient thermo-physical properties. This deficiency is normally addressed by saturation of thermally strong conductive metallic nanoparticles such as Fe, Ti, Hg, Cu, Au into the base fluid resulting a stronger thermal conductivity, electric conductivity, heat and mass flux of the so formulated nanofluid. Nanoparticles having a diameter size less than 100 nano-meter are preferred in this formulation because these nano-sized particles stay suspended into the base fluid for a longer time-period. This communication aims to investigate the salient features of a nanofluid flow along a radiative Riga plate using Powell-Eyring model and convective boundary conditions. The flow model involves the effect of first order chemical reaction as well as the Brownian motion diffusion and Thermophoresis effects. Governing PDEs are transformed into ODEs using suitable transformations. HAM is applied for convergent series solutions to the boundary value problem. Impact of various parameters including Brownian motion, Thermophoresis, modified Hartman number, Lewis and Prandtl number on flow profiles is analyzed graphically. Parameters of physical interest like Skin-friction, Nusselt and Sherwood numbers are illustrated through numerical data. Effect of modified Hartman number is significant on flow profiles due to involvement of Riga plate. An efficiency is achieved in fluid flow and heat-mass flux through suspension of nanoparticles in base fluid.
典型的基础流体,如水、油或乙二醇,由于热物理性质不足,是不良的热导体。这种不足通常通过将热导率高的金属纳米颗粒(如铁、钛、汞、铜、金)饱和到基础流体中来解决,从而使如此配制的纳米流体具有更强的热导率、电导率、热通量和质量通量。在此配方中,直径小于100纳米的纳米颗粒是优选的,因为这些纳米尺寸的颗粒在基础流体中悬浮的时间更长。本通讯旨在使用鲍威尔-艾林模型和对流边界条件研究沿辐射里加板的纳米流体流动的显著特征。流动模型涉及一级化学反应的影响以及布朗运动扩散和热泳效应。使用适当的变换将控制偏微分方程转化为常微分方程。应用同伦分析方法(HAM)求解边界值问题的收敛级数解。通过图形分析了包括布朗运动、热泳、修正哈特曼数、刘易斯数和普朗特数在内的各种参数对流动剖面的影响。通过数值数据说明了诸如皮肤摩擦、努塞尔数和舍伍德数等物理感兴趣的参数。由于里加板的作用,修正哈特曼数对流动剖面有显著影响。通过在基础流体中悬浮纳米颗粒,实现了流体流动和热质通量的效率提升。