Ijaz M, Ayub M
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan.
Heliyon. 2019 Jun 11;5(6):e01815. doi: 10.1016/j.heliyon.2019.e01815. eCollection 2019 Jun.
The purpose of the present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Walter-B nanofluid in view of Cattaneo-Christov double diffusion model over a permeable stretched sheet. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion. Walter-B nanomaterial model is used that describes the significant slip mechanism namely Brownian and thermophoresis diffusions. Double stratification, heat generation/absorption and chemical reaction are considered. Modified Arrhenius formula for activation energy is implemented. The acquired nonlinear system is cracked through homotopic analysis method. Effects of emanating variables are examined through graphs and tables. It is evident that temperature distribution and thermal boundary layer thickness is monotonically dwindling function of thermal stratification parameter , thermal relaxation time and upsurge for the thermophoresis parameter , heat generation/absorption parameter (B₁), Brownian motion parameter . Nanoparticle concentration is directly comparable to the activation energy of reaction and impact of thermal relaxation time is qualitatively opposite to that of thermophoretic force.
本文的目的是基于Cattaneo-Christov双扩散模型,研究Walter-B纳米流体在可渗透拉伸片上的非线性对流流动中活化能的新特性。通过Cattaneo-Christov双扩散利用了傅里叶定律和菲克定律的广义形式。使用Walter-B纳米材料模型来描述显著的滑移机制,即布朗扩散和热泳扩散。考虑了双重分层、热生成/吸收和化学反应。采用了修正的阿累尼乌斯活化能公式。通过同伦分析法求解得到的非线性系统。通过图表研究了各相关变量的影响。结果表明,温度分布和热边界层厚度是热分层参数、热弛豫时间的单调递减函数,而对于热泳参数、热生成/吸收参数(B₁)、布朗运动参数则是单调递增函数。纳米颗粒浓度与反应活化能直接相关,热弛豫时间的影响与热泳力的影响在性质上相反。