Saeed Aamir, Shah Rehan Ali, Khan Muhammad Sohail, Fernandez-Gamiz Unai, Bani-Fwaz Mutasem Z, Noeiaghdam Samad, Galal Ahmed M
Department of Basie Sciences and Islamiat, University of Engineering and Technology Peshawar, Khyber Pakhtoon Khwa, Pakistan.
School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China.
Math Biosci Eng. 2022 Jul 19;19(10):10176-10191. doi: 10.3934/mbe.2022477.
Theoretical analysis of physical characteristics of unsteady, squeezing nanofluid flow is studied. The flow of nanofluid between two plates that placed parallel in a rotating system by keeping the variable physical properties: viscosity and thermal conductivity. It is analyzed by using Navier Stokes Equation, Energy Equation and Concentration equation. The prominent equations are transformed by virtue of suitable similarity transformation. Nanofluid model includes the important effects of Thermophoresis and Brownian motion. For analysis graphical results are drawn for verity parameters of our interest i.e., Injection parameter, Squeezing number, Prandtle number and Schmidt number are investigated for the Velocity field, Temperature variation and Concentration profile numerically. The findings underline that the parameter of skin friction increases when the Squeezing Reynolds number, Injection parameter and Prandtle number increases. However, it shows inverse relationship with Schmidt number and Rotation parameter. Furthermore, direct relationship of Nusselt number with injection parameter and Reynolds number is observed while its relation with Schmidt number, Rotation parameter, Brownian parameter and Thermophoretic parameter shows an opposite trend. The results are thus obtained through Parametric Continuation Method (PCM) which is further validated through BVP4c. Moreover, the results are tabulated and set forth for comparison of findings through PCM and BVP4c which shows that the obtained results correspond to each other.
研究了非稳态挤压纳米流体流动物理特性的理论分析。通过保持可变物理性质（粘度和热导率），研究了纳米流体在旋转系统中平行放置的两块平板之间的流动。利用纳维 - 斯托克斯方程、能量方程和浓度方程进行分析。借助合适的相似变换对显著方程进行变换。纳米流体模型包括热泳和布朗运动的重要影响。为了进行分析，针对我们感兴趣的验证参数绘制了图形结果，即针对速度场、温度变化和浓度分布，对注入参数、挤压数、普朗特数和施密特数进行了数值研究。研究结果表明，当挤压雷诺数、注入参数和普朗特数增加时，表面摩擦系数增大。然而，它与施密特数和旋转参数呈反比关系。此外，观察到努塞尔数与注入参数和雷诺数呈正比关系，而其与施密特数、旋转参数、布朗参数和热泳参数的关系则呈现相反趋势。这些结果是通过参数连续法（PCM）获得的，并通过BVP4c进一步验证。此外，将结果制成表格并列出，以便通过PCM和BVP4c比较研究结果，结果表明所获得的结果相互对应。
