Sadiq Kashif, Siddique Imran, Awrejcewicz Jan, Bednarek Maksymilian
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan.
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland.
Nanomaterials (Basel). 2022 Apr 7;12(8):1255. doi: 10.3390/nano12081255.
This article investigates heat and mass transport enrichment in natural convection fractionalized nanofluid flow inside a channel with isothermal and ramped wall conditions under the effects of chemical reactions, radiation, heat absorption, and the Soret effect. To obtain the fractional model, the Caputo time-fractional derivative definition is used, and analytical results are obtained by the Laplace transform. In two base fluids, water and glycerin, the impacts of two nanoparticles, single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs), are investigated. The comparison of six distinct fluids, including water, water-SWCNT, water-MWCNT, glycerin, glycerin-SWCNT and glycerin-WMCNT, is explored graphically. Physical parameters' effects on isothermal and ramped conditions are graphically depicted and explained in depth. For isothermal wall conditions, the variation in concentration, temperature and velocity is exponential, while for ramped wall conditions, the variation is steady. Finally, the results of skin frictions, Nusselt numbers and Sherwood numbers and for both ramped wall and isothermal wall conditions are evaluated in tabular form for various values of volume fraction. Moreover, it is observed that the temperature, velocity, Nusselt numbers and skin frictions increase by increasing the volume fraction of CNTs.
本文研究了在化学反应、辐射、热吸收和索雷特效应的影响下，具有等温壁面和斜坡壁面条件的通道内自然对流分数阶纳米流体流动中的热质传递富集现象。为了获得分数阶模型，使用了卡普托时间分数阶导数定义，并通过拉普拉斯变换得到了解析结果。在两种基流体水和甘油中，研究了两种纳米颗粒单壁碳纳米管（SWCNT）和多壁碳纳米管（MWCNT）的影响。以图形方式探讨了六种不同流体的比较，包括水、水 - SWCNT、水 - MWCNT、甘油、甘油 - SWCNT和甘油 - WMCNT。以图形方式描绘并深入解释了物理参数在等温条件和斜坡条件下的影响。对于等温壁面条件，浓度、温度和速度的变化是指数形式的，而对于斜坡壁面条件，变化是稳定的。最后，以表格形式评估了不同体积分数下斜坡壁面和等温壁面条件下的皮肤摩擦系数、努塞尔数和舍伍德数的结果。此外，观察到温度、速度、努塞尔数和皮肤摩擦系数随着碳纳米管体积分数的增加而增加。
