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The effects of heterogeneity on solute transport in porous media: anomalous dispersion
Mixing of solute in sub-surface flows, for example in the leakage of contaminants into groundwater, is quantified by a dispersion coefficient that...
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Study of toroidal magnetic field for the flow past a rotating rigid sphere embedded in the less permeable medium
This paper represents the exact solution for the properties of the conducting fluid that is flowing past a rotating sphere immersed in a porous...
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Some Boundary-Value Problems Corresponding to the Model of Fractional Differential Filtration Dynamics in a Fractured Porous Media Under the Condition of Time Non-Locality
Closed-form solutions to some boundary-value problems of fractional differential geofiltration dynamics in a fractured porous medium are obtained for...
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Model of Heat Convection with Variable Fluid Viscosity in a Porous Medium: Verification and Application
AbstractThe coupled model of groundwater flow, heat and solute transport processes implemented within finite-volume computer code GeRa is presented....
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Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection
The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid...
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Non-steady pressure-driven flow of a Bingham fluid through a channel filled with a Darcy–Brinkman medium
An analytical solution for a one-dimensional non-steady pressure-driven flow of a Bingham fluid in a channel filled with a uniform high-porosity...
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Construction of an Analytical Solution of the Problem on the Formation of Gas Hydrate in a Porous Mine
In this paper, we propose the mathematical formulation of the problem on injection of a cold gas into a porous medium accompanied by the formation of...
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An Aligned Magnetic Field Effect on Unsteady Heat and Mass Transfer Flow of Non-Newtonian Fluid Through Porous Medium
The purpose of the investigation presented in this chapter appears to be to determine the influence of an orientated irresistible amount on...
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Free boundary regularity of the porous medium equation with nonlocal drifts in dimension one
We study the free boundary of the porous medium equation with nonlocal drifts in dimension one. Under the assumption that the initial data has...
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Definitely not a circle: on the variability of the zone of influence in porous media flows
When fluid motion is induced through a porous medium, the distance travelled depends on the energy exerted and overall resistance to flow. Ostensibly...
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Thermal boundary-layer solutions for forced convection in a porous domain above a flat plate
In this paper we present numerical solutions for thermal boundary layers that are developed during forced convection in a porous medium located above...
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On the Conditions at the Interface Between Homogeneous and Porous Environments for the Stokes–Darcy Problem
AbstractTwo widely used boundary conditions at the interface between the free fluid and porous medium, prescribing either continuity of the normal...
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Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method
The chemical entropy generation analysis is an approach to optimize the performance of different thermal systems by investigating the related...
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Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities
AbstractWave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of...
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Non-Darcian Gravitactic Bioconvection with a Porous Saturated Vertical Vibration
A linear stability analysis is applied to study the onset of bioconvection in a suspension of negatively geotactic (gravitactic) swimmers saturated...
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Droplet impact onto a porous substrate: a Wagner theory for early-stage spreading
An analytical model for droplet impact onto a porous substrate is presented, based on Wagner theory. An idealised substrate boundary condition is...
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Linear Model for Two-Layer Porous Bed Suspended with Nano-Sized Particles
Two not-miscible fluid flows are materialized in science and technology. The combined convection of two immiscible fluids in a square conduit is...
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Large time behavior of signed fractional porous media equations on bounded domains
Following the methodology of Brasco (Adv Math 394:108029, 2022), we study the long-time behavior for the signed fractional porous medium equation in...