Pore-scale study on reactive mixing of miscible solutions with viscous fingering in porous media

Lei, Timan; Meng, Xuhui; Guo, Zhaoli

doi:10.1016/j.compfluid.2016.09.015

Cited by 28 publications

(16 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here ρ p is a variable related to the fluid pressure as p = c 2 s ρ p , with c s = e/ √ 3 being the lattice sound velocity. To avoid discrete lattice effects in the LB model, the forcing and reactive distribution functionsF i andR i are [18,20]…”

Section: Methodsmentioning

confidence: 99%

“…, ψ 8 ) T to the moment space asψ = M • ψ. With this transformation, the evolution equations (20) and (21) can be implemented in the moment space aŝ…”

Section: Methodsmentioning

confidence: 99%

“…Owing to the complex geometries in porous media, previous numerical studies were conducted on representative elementary volume (REV) scale, where a number of assumptions are required [18]. During the past three decades, the LB method has become an attractive alternative to conventional solvers for studying various fluid flow problems at pore scale [19,20]. This is attributed to its simple implementation, high parallelism, and ability to handle complex boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Pore-scale study of dissolution-driven density instability with reaction A+B→C in porous media

Lei

Luo

2019

Phys. Rev. Fluids

Self Cite

View full text Add to dashboard Cite

Dissolution-driven density instability (DI) occurs when a species A dissolves into a host fluid and introduces a buoyantly unstable stratification. Such an instability has positive effects in related applications and may be affected if species A reacts with solute B in the host fluid. In this paper, the lattice Boltzmann (LB) method is employed to simulate the dynamics of such an instability coupled with reaction A + B → C in porous media at the pore scale. Numerical simulations in homogeneous media have demonstrated that six types of dissolution-driven DI can be classified based on the Rayleigh numbers of three chemical species Ra r (ratio of buoyancy to viscous forces), and reaction can accelerate, delay or even trigger the development of DI. Then, a parametric study has indicated that, increasing Ra CB (Ra C − Ra B) can intensify density instability and reaction, promote the diffusion of species A, and also introduce either stabilizing or destabilizing effects of reaction. Besides, the increase of initial reactant concentration or/and Damköhler number Da (ratio of flow time to chemical time) can enhance the influence of chemistry. Finally, simulations are carried out in three types of heterogeneous media HE1-HE3, and six groups of fingering scenarios can also be observed in each medium. However, compared with the homogeneous case, heterogeneous media HE1 with randomly distributed solid grains can introduce deeper advancing position and rougher density fingering, and media HE2 and HE3 with vertical variations of pore spaces can affect the developing speed of fingering obviously. In terms of the storage of species A in the host fluid, medium HE2 with large pore size in the top layer is favorable. The present study is of significant importance for applications such as carbon capture and storage.

show abstract

Section: Methodsmentioning

confidence: 99%

“…, ψ 8 ) T to the moment space asψ = M • ψ. With this transformation, the evolution equations (20) and (21) can be implemented in the moment space aŝ…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pore-scale study of dissolution-driven density instability with reaction A+B→C in porous media

Lei

Luo

2019

Phys. Rev. Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…The study of flow through confined porous media is of great importance in geology (Lei et al 2017), petroleum (Song et al 2014) and industry (Rahimi et al 2017). Flow through pressurized porous media has been studied experimentally and numerically by (Ingham and 119 Pop 2005;Sheikh and Pak 2015;and Zhu et al 2016).…”

Section: K = 65mentioning

confidence: 99%

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Norouzi

Bazargan

Azhang

et al. 2021

Preprint

View full text Add to dashboard Cite

The study of the steady and unsteady flow through porous media and the interactions between fluids and particles is of utmost importance. In the present study, binomial and trinomial equations to calculate the changes in hydraulic gradient (i) in terms of flow velocity (V) were studied in the steady and unsteady flow conditions, respectively. According to previous studies, the calculation of drag coefficient (Cd) and consequently, drag force (Fd) is a function of coefficient of friction (f). Using Darcy-Weisbach equations in pipes, the hydraulic gradient equations in terms of flow velocity in the steady and unsteady flow conditions, and the analytical equations proposed by Ahmed and Sunada in calculation of the coefficients a and b of the binomial equation and the friction coefficient (f) equation in terms of the Reynolds number (Re) in the porous media, equations were presented for calculation of the friction coefficient in terms of the Reynolds number in the steady and unsteady flow conditions in 1D (one-dimensional) confined porous media. Comparison of experimental results with the results of the proposed equation in estimation of the drag coefficient in the present study confirmed the high accuracy and efficiency of the equations. The mean relative error (MRE) between the computational (using the proposed equations in the present study) and observational (direct use of experimental data) friction coefficient for small, medium and large grading in the steady flow conditions was equal to 1.913, 3.614 and 3.322%, respectively. In the unsteady flow condition, the corresponding values of 7.806, 14.106 and 10.506 % were obtained, respectively.

show abstract

“…Here ρ p is a variable related to fluid pressure as ρ p = p/c 2 s , with c s = e/ √ 3 being the lattice sound velocity. This LB model for incompressible fluid flows can reduce compressible errors [40,41]. Different from the original model [5], the distribution function F i accounts for both the body force F and the source term M as…”

Section: A Lb Equation For the Flow Fieldmentioning

confidence: 99%

Generalized lattice Boltzmann model for frosting

Lei

Luo

Wu³

2019

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

Frosting is a multiscale and multiphysics problem, which presents a significant challenge for numerical methods. In this study, a generalized lattice Boltzmann (LB) model is developed to simulate the frosting of humid air at representative elementary volume scale. In this model, three LB equations are introduced to describe the evolution of distribution functions for velocity, temperature, and humidity (i.e., mass fraction of water vapor in the humid air) fields, respectively. The frost layer is regarded as a porous medium, while the humid air is treated as a plain one. This unified LB model can be applied to describe the phase change and transport processes in these two subdomains seamlessly. Through the Chapman-Enskog analysis, the macroscopic equations for the frosting process can be recovered from the present LB model. Benchmark problems in conduction solidification, convection melting and frosting are simulated, and the numerical results match well with analytical or experimental solutions. Finally, this model is applied to simulate frost formation between two parallel plates, and the influences of air velocity, humidity, temperature, and cold wall temperature are evaluated.

show abstract

Pore-scale study on reactive mixing of miscible solutions with viscous fingering in porous media

Cited by 28 publications

References 31 publications

Pore-scale study of dissolution-driven density instability with reaction A+B→C in porous media

Pore-scale study of dissolution-driven density instability with reaction A+B→C in porous media

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Generalized lattice Boltzmann model for frosting

Contact Info

Product

Resources

About