In this article, we analyze the flow of a fluid through a domain modeled using the equations for generalized non-linear Stokes flow coupled with flow through a porous media, modeled using generalized non-linear Darcy flow equations. A prescribed flow rate is assumed specified along the inflow portion of the non-linear Stokes flow boundary. Existence and uniqueness of a variational solution to t...

Laminar convection of a fluid with a temperature-dependent viscosity in an enclosure filled with a porous medium is studied numerically based on a Lattice Boltzmann method. It is shown that the variation in viscosity has significant influences on both flow and heat transfer behaviours. In comparison with the results for constant viscosity, the fluid with variable viscosity exhibits a higher hea...

Abstract This study explores the effects of electro-magneto-hydrodynamics, Hall currents, and convective slip boundary conditions on peristaltic propulsion nanofluids (considered as couple stress nanofluids) through porous symmetric microchannels. The phenomena energy mass transfer are considered under thermal radiation heat source/sink. governing equations modeled non-dimensionalized appropria...

Abstract We perform direct numerical simulations of turbulent flow at friction Reynolds number $$Re_\tau \approx 500{-}2000$$ R e τ ≈ 500 - 2000 grazing over perf...

Abstract The present study explores the Darcy-Forchheimer flow of a water-based Cu/TiO 2 nanoliquid with heat generation/consumption. appropriate transformations are used to transform coupled non-linear PDEs into ODEs and these equations solved numerically by MATLAB bvp4c procedure. effect various physical parameters on velocity, temperature, skin friction coefficient local Nusselt number repor...

*Correspondence: [email protected] Department of Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7, 412 96 Göteborg, Sweden Abstract Background: Seepage in porous media is modeled as a Stokes flow in an open pore system contained in a rigid, impermeable and spatially periodic matrix. By homogenization, the problem is turned into a two-scale problem consisting of a Da...

We study a system composed of a non-linear Stokes flow in one subdomain coupled with a nonlinear porous medium flow in another subdomain. Special attention is paid to the mathematical consequence of the shear-dependent fluid viscosity for the Stokes flow and the velocity-dependent effective viscosity for the Darcy flow. Motivated by the physical setting, we consider the case where only flow rat...

Stress waves contain useful information about the properties of porous materials; they can be recovered through different non-destructive testing methods such as crosswell, vertical seismic profile, borehole logging as well as sonic tests. In all these methods, it is crucial to assess the effects of frequency on wave attributes including velocity and intrinsic attenuation. The dependency of per...

Manning's roughness coefficient for flow over bare soil is needed in order to determine other hydraulic parameters such as flow depth and velocity in overland flow, parameters needed to calculate streampower and shear stress in erosion process studies. A modified equation of Manning's n was developed to estimate flow velocity in shallow overland flow in experiments undertaken in a 5.8 by 1 m fl...