Theory and Semi-Analytical Study of Micropolar Fluid Dynamics through a Porous Channel

被引:21
|
作者
Khan, Aziz [1 ]
Ullah, Sana [2 ]
Shah, Kamal [1 ,3 ]
Alqudah, Manar A. [4 ]
Abdeljawad, Thabet [1 ,5 ]
Ghani, Fazal [2 ]
机构
[1] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia
[2] Abdul Wali Khan Univ, Dept Math, POB 23200, Mardan 23200, Khyber Pakhtunk, Pakistan
[3] Univ Malakand, Dept Math, Chakdara Dir L 18000, Khyber Pakhtunk, Pakistan
[4] Princess Nourah Bint Abdurahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
来源
关键词
Mass transfer; micropolar flow; porous channel; similarity variables; differential transform method; ADOMIAN DECOMPOSITION METHOD; NANOFLUID FLOW; HEAT-TRANSFER; DIFFERENTIAL TRANSFORM; NATURAL-CONVECTION; CONVERGENCE; TEMPERATURE; EQUATIONS; SURFACE; WALL;
D O I
10.32604/cmes.2022.023019
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, We are looking at the characteristics of micropolar flow in a porous channel that's being driven by suction or injection. The working of the fluid is described in the flow model. We can reduce the governing nonlinear partial differential equations (PDEs) to a model of coupled systems of nonlinear ordinary differential equations using similarity variables (ODEs). In order to obtain the results of a coupled system of nonlinear ODEs, we discuss a method which is known as the differential transform method (DTM). The concern transform is an excellent mathematical tool to obtain the analytical series solution to the nonlinear ODEs. To observe beast agreement between analytical method and numerical method, we compare our result with the Rung-Kutta method of order four (RK4). We also provide simulation plots to the obtained result by using Mathematica. On these plots, we discuss the effect of different parameters which arise during the calculation of the flow model equations.
引用
收藏
页码:1473 / 1486
页数:14
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