DYNAMICS OF A WATERBORNE DISEASE MODEL IN POROUS MEDIA USING CAPUTO FRACTIONAL VARIABLE ORDER DERIVATIVE

Evaporation–imbibition (E–I) of porous media is an important transport phenomenon in nature and engineering fields. In this paper, fractal models for E–I in porous media are derived based on the capillary bundle model and fractal geometry theory of porous media. This study analyzes the influences of the microstructural parameters of porous media, evaporation–capillarity (E–C) number, temperature difference, as well as liquid rise height on the E–I of porous media in detail. Moreover, good agreement between fractal model predictions and experimental data validates the present fractal models for the E–I of porous media. The proposed models may provide guidance for the analysis of liquid transport in oil recovery, soil science, paper, and textile treatment.

This study investigates the gravitational modulation of bioheat transfer in porous media, focusing on an activation energy and microbial activity. Through detailed analysis of fluid flow, heat transfer, and microbial behavior in porous environments, the research explores the intricate relationships between these factors. A novel approach to studying bioheat transfer in porous media by integrating microbiology, thermodynamics, and fluid dynamics. It highlights the role of activation energy in microbial processes and employs weak nonlinear stability analysis to explore bioconvection. The findings have practical applications in fields like hydrology and petroleum engineering, enhancing our understanding of heat and mass transfer to improve microbial activity and pollutant degradation. A study of weak nonlinear stability is carried out to investigate the stationary state of bioconvection, where the heat transfer is quantified using the Nusselt number and controlled by a nonautonomous Ginzburg-Landau equation. Key parameters analyzed include Rayleigh number, thermal diffusivity, activation energy, and microbial concentration. This research provides insights into heat convection, fluid dynamics, and microbial processes in porous media, with implications for hydrology, petroleum engineering, and biomedical sciences. Graphical representations demonstrate how these parameters affect the heat transfer, contributing to a deeper understanding of the interactions between gravitational forces, microbial activity, and heat transfer processes, and paving the way for advancements in bioheat transfer in porous media.

Numerical simulation of aneurysmal haemodynamics with calibrated porous-medium models of flow-diverting stents

A novel micro-scale structure reconstruction approach for porous media and characterization analysis: An application in ceramics-based diesel particulate filter

An approach based on the porous media model for numerical simulation of 3D finned-tubes heat exchanger

Dot-array porous medium model for windscreen and its simulation accuracy analysis

To clarify the mechanism of aneurysmal recanalization, it is necessary to understand the characteristics of the blood flow inside the aneurysm in particular the flow resistance generated by the coil. In studies using computational fluid dynamics (CFD), mainly two approaches have been used to model the coil embolized aneurysm; modeling the coils as porous media or by real coil geometries. In this study, we calculated the pressure drop along a vessel through a coiled region modeled as porous media or by real coil geometry and compared the pressure drop generated by the two coil models. The porous media model was described by Darcy's law and Ergun's equation, while the real coil geometry was generated using finite element method (FEM) structural analysis. We calculated the pressure drop for inlet velocities from 0.1 m/s to 1.0 m/s in steps of 0.1 m/s. Our results indicated that the porous media model may produce larger pressure drops than the real coil geometry model under low packing density. The value of the pressure drop was also changed due to the difference of coil distribution even if the packing density was the same.

ObjectiveThis study aimed to compare the hemodynamic differences among no sac (NOS), porous media (POM) and finite element analysis (FEA) models to investigate the recurrence-related risks for coiled intracranial aneurysms...

Heat Transfer with Freezing and Thawing

Improved models to predict gas–water relative permeability in fractures and porous media

P567 EXPERIMENTAL MEASURMENT OF GAS HYDRATE STABILITY IN POROUS MEDIA 1 ROSS ANDERSON ROD W. BURGASS BAHMAN TOHIDI and KASPER K. OSTERGAARD Centre for Gas Hydrate Research Department of Petroleum Engineering Heriot-Watt University Edinburgh EH14 4AS UK SUMMARY: New data for the stability zone of methane and CO2 hydrates in 82 A diameter porous media are reported. The data is combined with that previously measured for 128 A and 251 A as part of an ongoing study of hydrate stability in porous media [Tohidi et al. 2000b] and a comprehensive correlation between pore size and hydrate inhibition is presented. The

Calculation of effective permeability for the BMP model in fractal porous media

A porous medium model for predicting the duct wall temperature of sodium fast reactor fuel assembly

Assessment of porous media instead of slatted floor for modelling the airflow and ammonia emission in the pit headspace

The in-situ foam technology has been extensively applied in the complex reservoir reconstruction since it improves the sweep efficiency by diverting the flow of injected fluids into areas with lower permeability and as a result enhances the oil recovery. The in-situ foam structure inside the pores can significantly affect the sweep efficiency, however, quantitative characterizations on foam structure are inadequate. Here, we propose a quantitative method based on fractal theory and the two-dimensional (2D) micro physical simulation experiment for the study of fractal characteristic, evolution law and sensitivity analysis. The findings demonstrate that foam confined within porous media exhibits fractal characteristics, as evidenced by the measured box-counting fractal dimensions ranging between 1.05 and 1.752 based on acquired structural images. Notably, a higher fractal dimension corresponds to a more irregular in-situ foam structure. Besides, in-situ foam in the porous media presents the “quasi check sign” evolution law, which can be divided into three time-dependent stages. Moreover, the evolution laws of in-situ foam within porous media remains consistent across varying temperatures and concentrations of foaming agents, and increasing temperature and decreasing concentration can shorten the time to reach the inflection point.