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Rheological aspects of variable diffusive phenomena in the non-linear stratified second grade nanomaterial under Darcy-Forchheimer theory
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2021-07-30 , DOI: 10.1016/j.aej.2021.07.016
S. Ahmad 1 , Aisha Anjum 2 , M. Farooq 3
Affiliation  

In real life applications, variations in diffusivity properties are incorporated in order to estimate accurately the transfer rate of heat/mass. This phenomenon has significant impact on liquid diffusion, electronics, moisture migration process, building insulation, vapors diffusion. Thus, present analysis based on the Darcy Forchheimer theory is introduced to study the stagnation flow mechanism in a rotating disk. The nanoparticles to be saturated are illustrated by the constitutive relationship of a second grade fluid. The flow is also subjected to hydro-magnetic phenomenon. Nonlinear stratification along with varying features of thermal conductivity is incorporated for the better understanding of variations in heat transport process. Variable character of thermophoretic and Brownian diffusions on the nanoparticles transportation in the base fluid is also discussed. The features of solutal slip and thermal jump are exercised to examine the mass and heat transfer. Thermal radiation as well as chemical reaction is also assumed in transport equations. The equations govern the physical process are made non-dimensional by introducing appropriate variables. An analytical series solutions are then achieved using a convergent scheme. The behaviors of dimensionless involved constants on flow fields are depicted through graphs. Rates of heat and mass transfers and drag force are also studied through graphical description. In this study, it is concluded that the minimum temperature exists corresponding to higher thermal stratified and temperature jump parameters. Larger inertia parameter enhances the both radial and tangential velocity components. Higher diffusive parameter intensifies the concentration function.



中文翻译:

Darcy-Forchheimer 理论下非线性分层二级纳米材料中可变扩散现象的流变学方面

在实际应用中,为了准确估计热量/质量的传递率,会结合扩散率特性的变化。这种现象对液体扩散、电子、水分迁移过程、建筑绝缘、蒸汽扩散有重大影响。因此,目前基于 Darcy Forchheimer 理论的分析被引入到研究旋转盘中的滞流机制。将被饱和的纳米粒子由二级流体的本构关系说明。流动也受到水磁现象的影响。为了更好地理解热传输过程的变化,非线性分层与不同的热导率特征结合在一起。还讨论了热泳扩散和布朗扩散对基液中纳米粒子传输的可变特性。运用溶质滑移和热跃的特征来检验传质和传热。热辐射以及化学反应也在传输方程中被假定。通过引入适当的变量,控制物理过程的方程是无量纲的。然后使用收敛方案获得解析级数解。无量纲涉及常数在流场上的行为通过图形来描述。还通过图形描述研究了传热和传质速率以及阻力。在这项研究中,得出的结论是,最低温度存在对应于较高的热分层和温度跳跃参数。较大的惯性参数增强了径向和切向速度分量。较高的扩散参数加强了浓度函数。

更新日期:2021-07-30
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