Computational modeling of biomagnetic micropolar blood flow and heat transfer in a two-dimensional non-Darcian porous medium

Bég, O. Anwar; Bhargava, Rama; Rawat, Saurabh; Halim, Kalim; Takhar, H. S.

doi:10.1007/s11012-007-9102-6

Cited by 56 publications

(20 citation statements)

References 42 publications

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“…Porous media, whose microstructures have significant effects on their macroscopic properties (such as mechanical, capillary, electrical conductivity, and permeability), are composed of solid material skeletons and many crowded tiny pores created by the partition of material skeletons [1][2][3][4][5][6][7][8][9]. To understand how the microstructure of porous media affects their macroscopic properties, one needs the real threedimensional (3D) structure of porous media.…”

Section: Introductionmentioning

confidence: 99%

Stable-phase method for hierarchical annealing in the reconstruction of porous media images

Chen

Teng

et al. 2014

Phys. Rev. E

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In this paper, we introduce a stable-phase approach for hierarchical annealing which addresses the very large computational costs associated with simulated annealing for the reconstruction of large-scale binary porous media images. Our presented method, which uses the two-point correlation function as the morphological descriptor, involves the reconstruction of three-phase and two-phase structures. We consider reconstructing the three-phase structures based on standard annealing and the two-phase structures based on standard and hierarchical annealings. From the result of the two-dimensional (2D) reconstruction, we find that the 2D generation does not fully capture the morphological information of the original image, even though the two-point correlation function of the reconstruction is in excellent agreement with that of the reference image. For the reconstructed three-dimensional (3D) microstructure, we calculate its permeability and compare it to that of the reference 3D microstructure. The result indicates that the reconstructed structure has a lower degree of connectedness than that of the actual sandstone. We also compare the computation time of our presented method to that of the standard annealing, which shows that our presented method of orders of magnitude improves the convergence rate. That is because only a small part of the pixels in the overall hierarchy need to be considered for sampling by the annealer.

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Section: Introductionmentioning

confidence: 99%

Stable-phase method for hierarchical annealing in the reconstruction of porous media images

Chen

Teng

et al. 2014

Phys. Rev. E

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“…Bhargava et al [21] examined the micropolar flow between rotating discs. Beg .et.al [26] has investigated the heat and mass transfer phenomena in porous media using microplar fluid, and then they used computational finite element technique for a two dimensional problem in channel [27]. In this continuation Rawat.et.al [28], has used the above technique for the heat and mass transfer phenomena while incorporating the soret and duffor effects, hence investigated the theremophysical effects using MHD micropolar fluid in porous media [29].…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer of a Chemically Reacting Micropolar Fluid Over a Linear Streaching Sheet in Darcy Forchheimer Porous Medium

Rawat¹,

Bhagrava²,

Kapoor³

et al. 2012

IJCA

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In the present study, an analysis is carried out to study twodimensional, laminar boundary layer flow and mass transfer of a micropolar chemically-reacting fluid past a linearly stretching surface embedded in a porous medium. Such a study finds important applications in geochemical systems and also chemical reactor process engineering. The non-linear partial boundary layer differential equations, governing the problem under consideration, have been transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using the galerkin finite element method. The numerical outcomes thus obtained are depicted graphically to illustrate the effect of different controlling parameters on the dimensionless velocity, temperature and concentration profiles. Comparisons of finite element method and finite difference method is also presented in order to test the accuracy of the methods and the results obtained are found to have an excellent agreement. Finally, the numerical values for quantities of physical interest like local Nusselt number and skin friction are also presented in tabular form.

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“…Bernardy [35] used a Darcy model to investigate the transport of micropolar fluid in a porous medium. More recently Bég et al [36] studied computationally the effects of thermal and species buoyancy and viscous heating on chemically reactive micropolar boundary layers in a Darcian porous medium. Bég et al [37] also presented the first study of biomagnetic flow in a micropolar-saturated Darcian porous medium using a finite element technique.…”

Section: Introductionmentioning

confidence: 99%

“…Bég et al [37] also presented the first study of biomagnetic flow in a micropolar-saturated Darcian porous medium using a finite element technique. Bég et al [38] extended the study in [37] to consider also for the first time the heat transfer in biomagnetic micropolar blood flow though a porous medium using a finite element model. Micropolar convection in a saturated porous medium with thermo-diffusive Soret and Dufour gradient effects was also studied by Bég et al [39].…”

Section: Introductionmentioning

confidence: 99%

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

Zueco

Bég

Chang

2009

Korean J. Chem. Eng.

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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.

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Computational modeling of biomagnetic micropolar blood flow and heat transfer in a two-dimensional non-Darcian porous medium

Cited by 56 publications

References 42 publications

Stable-phase method for hierarchical annealing in the reconstruction of porous media images

Stable-phase method for hierarchical annealing in the reconstruction of porous media images

Heat and Mass Transfer of a Chemically Reacting Micropolar Fluid Over a Linear Streaching Sheet in Darcy Forchheimer Porous Medium

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

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