PL EN


Preferences help
enabled [disable] Abstract
Number of results
2020 | 143 | 39-52
Article title

Chebyshev Spectral Collocation Method to Micropolar Fluid Flow through a Porous Channel driven by Suction/Injection with High Mass Transfer

Content
Title variants
Languages of publication
EN
Abstracts
EN
This paper presents the application of Chebyshev spectral collocation method to flow analysis of a micropolar fluid conveyed through porous channel driven by suction or injection with high mass transfer. Effects of flow and rotation parameters such as Reynolds number and micro rotation parameters on the flow characteristics of the micropolar fluid are investigated using the developed approximate analytical solutions through the method. Comparing the results of the numerical solutions obtained in this study with the other results of the other methods in literature, very good agreements are established. The results obtained from this work can be used to further the study of the behavior of micropolar fluids in applications such as lubricants, blood flow porous media, micro channels and flow in capillaries.
Discipline
Year
Volume
143
Pages
39-52
Physical description
Contributors
  • Works and Physical Planning Department, University of Lagos, Akoka, Lagos, Nigeria
  • Department of Mechanical Engineering, University of Lagos, Akoka-Yaba, Lagos, Nigeria
  • Department of Mechanical Engineering, University of Lagos, Akoka-Yaba, Lagos, Nigeria
author
  • Department of Mechanical Engineering, Federal University of Agriculture, Abeokuta, Nigeria
References
  • [1] A. C. Eringen. Theory of micropolar fluids. Journal of Mathematics and Mechanics 16, 1-18, 1966
  • [2] R. Idris, H. Othman, I. Hashim. On the effect of non-uniform basic temperature gradient on Benard –Marangoni convection in micropolar fluids. International Communication in Heat and Mass Transfer 36(3), 203-209, 2009
  • [3] S. W. Yuan. Further investigation of laminar flow in channels with porous wall. Journal of Applied Physics, 27, 267-269, 1956
  • [4] N. A. Kelson, A. Desseaux. Effect of surface conditions on flow of a micropolar fluid driven by a stretching sheet. International Journal of Engineering Science, 39(16), 1881-1897, 2001
  • [5] N. A. Kelson and T. W. Farrell. Micropolar flow over a porous stretching sheet with strong suction or injection. International Communications in Heat and Mass Transfer 28(4), 479-488, 2001
  • [6] M. B. Zaturska, P. G. Drazin, W. H. H. Banks. On the flow of a viscous fluid driven along a channel by suction at porous walls. Fluid Dynamics Research, 4, 151-178, 1988
  • [7] C. Ching –Yang. Natural convection of micropolar fluid from a vertical truncated cone with power – law variation in surface temperature. International Communications in Heat and Mass Transfer, 35(1), 9-46, 2008
  • [8] S. W. Yuan. Further Investigation of laminar flow in channels with porous walls. Journal of Applied Physics, 27, 267-269, 1956
  • [9] I. H. Abdel-Halim. On solving some eigen- value problems by using a differential transformation. Applied Mathematical Computation, 127, 1-22, 2002
  • [10] E. Magyari and B. Keller. Exact solutions for self-similar boundary layer flows induced by permeable stretching wall. European Journal of Mechanics, 19, 109-122, 2000
  • [11] P. S. V. N. Murthy, P. Singh. Thermal dispersion effects on non-Darcy natural convection over horizontal plate with surface mass flux. Archive of Applied Mechanics, 67, 487-495, 1997
  • [12] Chamkha Ali J, Grosant T, Pop I. Fully developed free convection of a micro polar fluid in a vertical channel. Int Commun Heat Mass Transfer 29, 1119-1127, 2002
  • [13] Abdulaziz O, Hashim I. Fully developed free convection heat and mass transfer of a micro polar fluid between porous vertical plates. Numer Heat Transfer A 2009;55:270–88
  • [14] Si Xin-yi, Si Xin-hui, Zheng Lian-cun, Zhang Xin-xin. Homotopy analysis solution for micro polar fluid flow through porous channel with expanding or contracting walls of different permeability. Appl Math Mech 2011; 32(7): 859-774
  • [15] Beg O Anwar, Rashidi MM, Beg TA, Asadi M. Homotopy analysis of transient magneto-bio-fluid dynamics of micropolar squeeze film in a porous medium: a model for magneto-biorheological lubrication. J Mech Med Biol 2012; 12: 1250051
  • [16] Rashidi MM, Laraqi N, Basiri Parsa A. Analytical modeling of heat convection in magnetized micropolar fluid by using modified differential transform method. Heat Transfer Asian Res 2011; 40(3), 187-204
  • [17] Rashidi Mohammad Mehdi, Laraqi Najib, Sadri Seyed Majid. Semi analytical solution of boundary-layer flow of a micropolar fluid through a porous channel. Walailak J Sci Tech 2012; 9(4): 381-393
  • [18] Narayana PV Satya, Venkateswarlu B, Venkataramana S. Effects of hall current and radiation absorption on MHD micropolar fluid in a rotating system. Ain Shams Eng J 2013; 4: 843-854
  • [19] Oahimire JI, Olajuwon BI. Effect of hall current and thermal radiation on heat and mass transfer of a chemically reacting MHD flow of a micropolar fluid through a porous medium. J King Saud Univ Eng Sci 2014; 26: 112-121
  • [20] Olajuwon BI, Oahimire JI, Ferdow M. Effect of thermal radiation and hall current on heat and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium. Eng Sci Technol Int J 2014; 17: 185-193
  • [21] Prakash D, Muthtamilselvan M. Effect of radiation on transient MHD flow of micropolar fluid between porous vertical channels with boundary conditions of the third kind. Ain Shams Eng J 2014; 5: 1277-1286
  • [22] Mahmoud Mostafa AA, Waheed Shimaa E. MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity. J Egypt Math Soc 2012; 20: 20-27
  • [23] Borrelli A, Giantesio G, Patria MC. Magnetoconvection of a micropolar fluid in a vertical channel. Int J Heat Mass Transfer 2015; 80 (January): 614-625
  • [24] Siddangoudaa A. Squeezing film characteristics for micro polar fluid between porous parallel stepped plates. Tribol Ind 2015; 37: 97-106
  • [25] R. Peyret, Spectral Methods for Incompressible Viscous Flow, Springer Verlag, New York, 2002.
  • [26] F.B. Belgacem, M. Grundmann, Approximation of the wave and electromagnetic diffusion equations by spectral methods, SIAM Journal on Scientific Computing 20 (1) (1998) 13-32
  • [27] X.W. Shan, D. Montgomery, H.D. Chen, Nonlinear magnetohydrodynamics by Galerkin-method computation, Physical Review A 44 (10) (1991) 6800-6818
  • [28] X.W. Shan, Magnetohydrodynamic stabilization through rotation, Physical Review Letters 73 (12) (1994) 1624-1627
  • [29] J.P. Wang, Fundamental problems in spectral methods and finite spectral method, Sinica Acta Aerodynamica 19 (2) (2001) 161-171
  • [30] E.M.E. Elbarbary, M. El-kady, Chebyshev finite difference approximation for the boundary value problems, Applied Mathematics and Computation 139 (2003) 513-523
  • [31] Z.J. Huang, and Z.J. Zhu, Chebyshev spectral collocation method for solution of Burgers’ equation and laminar natural convection in two-dimensional cavities, Bachelor Thesis, University of Science and Technology of China, Hefei, 2009.
  • [32] N.T. Eldabe, M.E.M. Ouaf, Chebyshev finite difference method for heat and mass transfer in a hydromagnetic flow of a micropolar fluid past a stretching surface with Ohmic heating and viscous dissipation. Applied Mathematics and Computation 177 (2006) 561-571
  • [33] A.H. Khater, R.S. Temsah, M.M. Hassan, A Chebyshev spectral collocation method for solving Burgers'-type equations. Journal of Computational and Applied Mathematics 222 (2008) 333-350
  • [34] C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer, New York, 1988
  • [35] E.H. Doha, A.H. Bhrawy, Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials, Appl. Numer. Math. 58 (2008) 1224-1244
  • [36] E.H. Doha, A.H. Bhrawy, Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations. Numer. Methods Partial Differential Equations 25 (2009) 712-739
  • [37] E.H. Doha, A.H. Bhrawy, R.M. Hafez, A Jacobi–Jacobi dual-Petrov–Galerkin method for third- and fifth-order differential equations. Math. Computer Modelling 53 (2011) 1820-1832
  • [38] E.H. Doha, A.H. Bhrawy, S.S. Ezzeldeen, Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. Appl. Math. Model. Volume 35, Issue 12, 2011, 5662-5672. doi:10.1016/j.apm.2011.05.011
Document Type
article
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.psjd-3a47e3bd-2fcd-42a8-b6d3-ba1fdcc13b1b
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.