含微小颗粒的非牛顿生物Sutterby流体在感应磁场旋转圆盘上的流动性
Description of non-Newtonian bioconvective Sutterby fluid conveying tiny particles on a circular rotating disk subject to induced magnetic field
M.B.ARAIN 1A.ZEESHAN 1M.M.BHATTI 2Mohammed Sh.ALHODALY 3R.ELLAHI1
作者信息
- 1. Department of Mathematics and Statistics,International Islamic University,Islamabad 44000,Pakistan
- 2. College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China
- 3. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group,Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia
- 折叠
摘要
本研究的主要目标是研究含有微小颗粒的非牛顿Sutterby流体的流动性,以及微生物回旋运动引起感应磁场的影响.流动设置在一对圆盘之间,圆盘间充满了含有微小颗粒和趋旋微生物的Sutterby流体.在流动控制中考虑了Arrhenius动力学和热辐射的影响.利用相关的相似变换将所建立的数学模型修改为非线性常微分方程.为了计算非线性常微分方程的数值解,使用微分变换程序(DTM).对于非线性问题,积分变换技术执行难度大.因此,使用基于Taylor展开的微分变换方法以获得多项式解作为解析解.为了提高公式化数学建模的收敛性,将Padé近似与微分变换方法相结合.讨论了不同无量纲因子对速度、温度场、浓度分布和运动回旋微生物剖面的影响,用表格形式对两块板上的扭矩进行计算和显示.
Abstract
The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles as well as the induced magnetic field in the involvement of motile gyrotactic microorganisms.The flow is configured between a pair of circular disks filled with Sutterby fluid conveying tiny particles and gyrotactic microorganisms.The impact of Arrhenius kinetics and thermal radiation is also considered in the governing flow.The presented mathematical models are modified into nonlinear ordinary differential equations using the relevant similarity transformations.To compute the numerical solutions of nonlinear ordinary differential equations,the differential transform procedure(DTM)is used.For nonlinear problems,integral transform techniques are more difficult to execute.However,a polynomial solution is obtained as an analytical solution using the differential transform method,which is based on Taylor expansion.To improve the convergence of the formulated mathematical modeling,the Padé approximation was combined with the differential transformation method.Variations of different dimensionless factors are discussed for velocity,temperature field,concentration distribution,and motile gyrotactic microorganism profile.Torque on both plates is calculated and presented through tables.
关键词
平行圆盘/趋旋微生物/活化能/广义磁雷诺数/微分变换解Key words
parallel circular disks/gyrotactic microorganisms/activation energy/generalized magnetic Reynolds number/differential transform solutions引用本文复制引用
出版年
2023
NETL
NSTL
维普
万方数据