Liming Zheng^{1, 3, *}, Xiaodong Han^{2, 4}, Xinjun Yang¹, Qingzhong Chu¹, Guanghui Li¹

CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.3, pp. 1055-1080, 2020, DOI:10.32604/cmes.2020.07588 - 01 March 2020

Abstract Pulse excitation or vibration stimulation was imposed on the low permeable formation with cracks to enhance the production or injection capacity. During that process, a coupling of wave-induced flow and initial flow in dual-porous media was involved. Researchers had done much work on the rule of wave propagation in fractured porous media, whereas attentions on the variation law of flow in developing low permeable formation with cracks under vibration stimulation were not paid. In this study, the effect of low-frequency vibration on the seepage in dual-porous media was examined for the application of wave stimulation… More >

Heng-Pin Hsu^a , Chuo-Jeng Huang^b,*, Herchang Ay^a

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-8, 2019, DOI:10.5098/hmt.13.14

Abstract The heat and mass transfer characteristics of the influence of uniform blowing/suction and MHD (magnetohydrodynamic) on the free convection of non-Newtonian fluids over a vertical plate in porous media with internal heat generation and Soret/Dufour effects are numerically analyzed. The surface of the vertical plate has a uniform wall temperature and uniform wall concentration (UWT/UWC). The numerical modeling of this problem attracts considerable attention, owing to its practical applications in biological sciences, electronic cooling, advanced nuclear systems, etc. The transformed governing equations are solved by Keller box method. Comparisons showed excellent agreement with the numerical More >

Yibo Zhao^1,2

Intelligent Automation & Soft Computing, Vol.25, No.4, pp. 835-845, 2019, DOI:10.31209/2019.100000087

Abstract In this paper, a new model is proposed to predict the permeability of porous media. This model introduces the Euler-Poincaré Characteristic (Euler Number), a parameter that reflects the connectivity of porous media. Using fractal and percolation theory, we establish a permeability model as a function of critical radius, porosity and Euler number. In order to relate the result to the Euler number, we introduce the Connectivity Function to calculate the critical aperture in the percolation theory, then calculate the percolation threshold value, and establish the relationship between the percolation threshold and the Euler number. The More >

Jingfa Li^1,2, Shuyu Sun^2,*, Bo Yu¹, Yang Liu², Tao Zhang²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.3, pp. 141-142, 2019, DOI:10.32604/icces.2019.04721

Abstract The multiphase fluid flow in porous media is one of the most fundamental phenomena in various physical processes, such as oil/gas flow in reservoir, subsurface contamination dispersion, chemical separation, etc. Due to its importance, the efficient and accurate solution and prediction of multiphase flow in porous media is highly required in engineering applications and mechanism studies, which has been a research hot spot with increasing interest in recent years. However, the strong nonlinearity implicated in the multiphase flow model has brought great challenges for the computation and analysis. In addition, the permeability in Darcy-type pressure… More >

Shangmin Ao, Peng Wang*, Lin Zhang, Yajun Deng, Dongliang Sun*, Bo Yu

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.3, pp. 152-153, 2019, DOI:10.32604/icces.2019.05005

Abstract The problem of fluid flow and heat transfer in porous media is one common phenomenon in industrial production and daily life. Numerical simulation for the above problem can provide a realistic understanding of transport processes and thus can help to optimize energy consumption. However, in the macroscopic model of fluid flow and heat transfer, the convergence rate of traditional numerical methods is usually poor as the hygroscopic properties of porous media. Therefore, it is of great significance to develop an efficient algorithm for the macroscopic model of fluid flow and heat transfer in porous media.… More >

Philippe Devloo¹, Wenchao Teng², Chen-Song Zhang^3,∗

CMES-Computer Modeling in Engineering & Sciences, Vol.119, No.1, pp. 145-163, 2019, DOI:10.32604/cmes.2019.04812

Abstract The multiscale hybrid-mixed (MHM) method is applied to the numerical approximation of two-dimensional matrix fluid flow in porous media with fractures. The two-dimensional fluid flow in the reservoir and the one-dimensional flow in the discrete fractures are approximated using mixed finite elements. The coupling of the two-dimensional matrix flow with the one-dimensional fracture flow is enforced using the pressure of the one-dimensional flow as a Lagrange multiplier to express the conservation of fluid transfer between the fracture flow and the divergence of the one-dimensional fracture flux. A zero-dimensional pressure (point element) is used to express More >

Nasreen Bano^∗,† , B. B. Singh, S. R. Sayyed

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.14

Abstract The present study deals with the two dimensional steady laminar forced MHD Hiemenz flow past a flat plate in a porous medium. The effects of thermal radiation and partial slips on the flow field have been investigated under the variable wall temperature condition of the plate. The governing equations have been transformed into a set of coupled non-linear ordinary differential equations (ODEs) by using suitable similarity transformations. These equations have been solved analytically by using homotopy analysis method (HAM). The effects of Prandtl number, suction/blowing parameter, permeability parameter, velocity slip parameter, radiation parameter, magnetic parameter, More >

Ammar Abdulkadhim^a,*, Azher Mouhsen Abed^a , Khaled Al-Farhany^b

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-7, 2018, DOI:10.5098/hmt.11.12

Abstract The conjugate natural convection heat transfer in a partially heated porous enclosure had been studied numerically. The governing dimensionless equations are solved using finite element method. Classical Darcy model have been used and the considering dimensionless parameters are modified Rayleigh number (10 ≤ Ra ≤ 10³), finite wall thickness (0.02 ≤ D ≤ 0.5), thermal conductivity ratio (0.1 ≤ K_r ≤ 10), and the aspect ratio (0.5 ≤ A≤ 10). The results are presented in terms of streamlines, isotherms and local and average Nusselt number. The results indicate that heat transfer can be enhanced by increasing More >

Lianhua Ma¹, Qingsheng Yang^{2, *}

CMES-Computer Modeling in Engineering & Sciences, Vol.114, No.2, pp. 239-259, 2018, DOI:10.3970/cmes.2018.114.239

Abstract Fluid-filled closed-cell porous media could exhibit distinctive features which are influenced by initial fluid pressures inside the cavities. Based on the equivalent far-field method, micromechanics-based solutions for the local elastic fields of porous media saturated with pressurized fluid are formulated in this paper. In the present micromechanics model, three configurations are introduced to characterize the different state the closed-cell porous media. The fluid-filled cavity is assumed to be a compressible elastic solid with a zero shear modulus, and the pressures in closed pores are represented by eigenstrains introduced in fluid domains. With the assumption of… More >

Taha Sochi¹

CMES-Computer Modeling in Engineering & Sciences, Vol.99, No.2, pp. 151-168, 2014, DOI:10.3970/cmes.2014.099.151

Abstract In this paper, a pore-scale network modeling method, based on the flow continuity residual in conjunction with a Newton-Raphson non-linear iterative solving technique, is proposed and used to obtain the pressure and flow fields in a network of interconnected distensible ducts representing, for instance, blood vasculature or deformable porous media. A previously derived analytical expression correlating boundary pressures to volumetric flow rate in compliant tubes for a pressure-area constitutive elastic relation has been used to represent the underlying flow model. Comparison to a preceding equivalent method, the one-dimensional Navier-Stokes finite element, was made and the More >