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
相关论文
共 50 条
  • [11] A Study on the Effect of Peristalsis and Cilia of MHD Micropolar Fluid Flow through an Inclined Porous Channel
    Kumari, S. V. H. N. Krishna P.
    Vernekar, D. Saroj
    Kumar, Y. V. K. Ravi
    JOURNAL OF APPLIED FLUID MECHANICS, 2018, 11 (05) : 1321 - 1331
  • [12] A semi-analytical approach to molecular dynamics
    Michels, Dominik L.
    Desbrun, Mathieu
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 303 : 336 - 354
  • [13] Darcy-Brinkman Flow of a Micropolar Fluid through an Anisotropic Porous Channel
    Verma, Vineet Kumar
    Ansari, Abdul Faiz
    JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 2024, 53 (07) : 575 - 594
  • [14] The solutions for the flow of micropolar fluid through an expanding or contracting channel with porous walls
    Si, Xinhui
    Pan, Mingyang
    Zheng, Liancun
    Zhou, Jianhui
    Li, Lin
    BOUNDARY VALUE PROBLEMS, 2016,
  • [15] Comparison of semi-analytical and FEM solutions in a certain magnetic fluid dynamics problem
    Ziolkowski, M
    Brauer, H
    Kuilekov, M
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2005, 24 (02) : 418 - 426
  • [16] Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel
    Sajid, M.
    Abbas, Z.
    Hayat, T.
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (11) : 4120 - 4125
  • [17] The solutions for the flow of micropolar fluid through an expanding or contracting channel with porous walls
    Xinhui Si
    Mingyang Pan
    Liancun Zheng
    Jianhui Zhou
    Lin Li
    Boundary Value Problems, 2016
  • [18] The flow of a micropolar fluid through a porous expanding channel: A Lie group analysis
    Cao, Limei
    Si, Xinhui
    Zheng, Liancun
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 242 - 250
  • [19] A SEMI-ANALYTICAL METHOD WITH DISSIPATION FOR FLUID RESONANCES
    Ten, Igor
    Lu, Lin
    Chen, Xiao-Bo
    PROCEEDINGS OF THE ASME 31ST INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING, 2012, VOL 4, 2012, : 753 - 760
  • [20] Theory and simulation of micropolar fluid dynamics
    Chen, J.
    Liang, C.
    Lee, I. D.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART N-JOURNAL OF NANOMATERIALS NANOENGINEERING AND NANOSYSTEMS, 2010, 224 (1-2) : 31 - 39