Korean Journal of Chemical Engineering

, Volume 26, Issue 5, pp 1226–1234

Network numerical simulation of two-dimensional nonlinear micropolar hydrodynamics in a Darcian porous medium


DOI: 10.1007/s11814-009-0213-8

Cite this article as:
Zueco, J., Bég, O.A. & Chang, TB. Korean J. Chem. Eng. (2009) 26: 1226. doi:10.1007/s11814-009-0213-8


The two-dimensional steady-state boundary layer flow of an incompressible micropolar fluid in a Darcian porous medium is studied theoretically and computationally. The governing parabolic partial differential equations are reduced to dimensionless form by using a set of transformations, under appropriate boundary conditions. A network simulation method (NSM) solution is presented. Translational velocities (U, V) are found to increase with a rise in Darcy number (Da) and to increase and decrease, respectively, with a rise in micropolar parameter (Er), i.e., Eringen number (ratio of micropolar vortex viscosity to Newtonian viscosity). Micro-rotation is increased with increasing Er and Da values. Translational velocity gradient, ∂U/∂Y and micro-rotation gradient, ∂Ω/∂Y both increase with Darcy number; however, they are both found to decrease with increasing micropolar parameter, Er. The present study finds applications in polymer flows in filtration systems, chemical engineering, biorheology of porous tissue and plastic sheet processing.

Key words

Non-Newtonian Micropolar Fluid Porous Medium Network Numerical Simulation (NSM) Eringen Number Darcy Number Angular Velocity Rheology 

Copyright information

© Korean Institute of Chemical Engineers, Seoul, Korea 2009

Authors and Affiliations

  • Joaquin Zueco
    • 1
  • Osman Anwar Bég
    • 2
  • Tong-Bou Chang
    • 3
  1. 1.ETS Ingenieros Industriales Campus Muralla del Mar, Departamento de Ingenieria Térmica y de FluidosUniversidad Politécnica de CartegnaCartagenaSpain
  2. 2.Energy Systems, Magnetohydrodynamics and Heat Transfer Research, Mechanical Engineering Subject Group, Department of Engineering and Mathematics, Sheaf BuildingSheffield Hallam UniversitySheffieldEngland, UK
  3. 3.Fluid Dynamics and Heat Transfer Research, Department of Mechanical EngineeringSouthern Taiwan UniversityTainan CountyTaiwan

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