Description of non-Newtonian bioconvective Sutterby fluid conveying tiny particles on a circular rotating disk subject to induced magnetic field

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 ti...

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Published in	Journal of Central South University Vol. 30; no. 8; pp. 2599 - 2615
Main Authors	Arain, M. B., Zeeshan, A., Bhatti, M. M., Alhodaly, Mohammed Sh, Ellahi, R.
Format	Journal Article
Language	English
Published	Changsha Central South University 01.08.2023 Springer Nature B.V
Subjects	Conveying Engineering Exact solutions Integral transforms Magnetic fields Mathematical models Metallic Materials Microorganisms Nonlinear differential equations Ordinary differential equations Polynomials Rotating disks Taylor series Temperature distribution Thermal radiation 平行圆盘 parallel circular disks 活化能 activation energy generalized magnetic Reynolds number 广义磁雷诺数 differential transform solutions 趋旋微生物微分变换解 gyrotactic microorganisms
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ISSN	2095-2899 2227-5223
DOI	10.1007/s11771-023-5398-1

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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.
AbstractList	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.
Author	Bhatti, M. M. Alhodaly, Mohammed Sh Arain, M. B. Ellahi, R. Zeeshan, A.
Author_xml	– sequence: 1 givenname: M. B. surname: Arain fullname: Arain, M. B. organization: Department of Mathematics and Statistics, International Islamic University – sequence: 2 givenname: A. surname: Zeeshan fullname: Zeeshan, A. organization: Department of Mathematics and Statistics, International Islamic University – sequence: 3 givenname: M. M. orcidid: 0000-0002-3219-7579 surname: Bhatti fullname: Bhatti, M. M. email: mmbhatti@sdust.edu.cn, mubashirme@yahoo.com organization: College of Mathematics and Systems Science, Shandong University of Science and Technology – sequence: 4 givenname: Mohammed Sh surname: Alhodaly fullname: Alhodaly, Mohammed Sh organization: Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University – sequence: 5 givenname: R. surname: Ellahi fullname: Ellahi, R. organization: Department of Mathematics and Statistics, International Islamic University
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DocumentTitle_FL	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
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Keywords	平行圆盘 parallel circular disks 活化能 activation energy generalized magnetic Reynolds number 广义磁雷诺数 differential transform solutions 趋旋微生物微分变换解 gyrotactic microorganisms
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Snippet	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...
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SubjectTerms	Conveying Engineering Exact solutions Integral transforms Magnetic fields Mathematical models Metallic Materials Microorganisms Nonlinear differential equations Ordinary differential equations Polynomials Rotating disks Taylor series Temperature distribution Thermal radiation
Title	Description of non-Newtonian bioconvective Sutterby fluid conveying tiny particles on a circular rotating disk subject to induced magnetic field
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