Multiscale Numerical Modeling of Solute Transport with Two-Phase Flow in a Porous Cavity

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El Amin Mohamed F.; Abbdel Naeem Shereen

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Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2021 | Volume:7 | Issue:2 Page(s): 396-403

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Title

Multiscale Numerical Modeling of Solute Transport with Two-Phase Flow in a Porous Cavity

Author(s)

El Amin Mohamed F. | Abbdel Naeem Shereen | Issue Writer Certificate

Keywords

Porous cavity

Solute transport

Two-phase flow

Time-splitting

Multiscale

Abstract

This paper introduces dimensional and numerical investigation of the problem of Solute transport within the Two-phase flow in a Porous cavity. The model consists of momentum equations (Darcy’ s law), mass (saturation) equation, and Solute transport equation. The cavity boundaries are constituted by mixed Dirichlet-Neumann boundary conditions. The governing equations have been converted into a dimensionless form such that a group of dimensionless physical numbers appear including Lewis, Reynolds, Bond, capillary, and Darcy numbers. A Time-splitting Multiscale scheme has been developed to treat the time derivative discretization. Also, we use the Courant-Friedrichs-Lewy (CFL) stability condition to adapt the time step size. The pressure is calculated implicitly by coupling Darcy’ s law and the continuity equation, then, the concentration equation is solved implicitly. Numerical experiments have been conducted and the effects of the dimensionless numbers have been on the saturation, concentration, pressure, velocity, and Sherwood number have been investigated.

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APA: Copy

El Amin, Mohamed F., & Abbdel Naeem, Shereen. (2021). Multiscale Numerical Modeling of Solute Transport with Two-Phase Flow in a Porous Cavity. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7(2), 396-403. SID. https://sid.ir/paper/978040/en

Vancouver: Copy

El Amin Mohamed F., Abbdel Naeem Shereen. Multiscale Numerical Modeling of Solute Transport with Two-Phase Flow in a Porous Cavity. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2021;7(2):396-403. Available from: https://sid.ir/paper/978040/en

IEEE: Copy

Mohamed F. El Amin, and Shereen Abbdel Naeem, “Multiscale Numerical Modeling of Solute Transport with Two-Phase Flow in a Porous Cavity,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 7, no. 2, pp. 396–403, 2021, [Online]. Available: https://sid.ir/paper/978040/en

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