Zero nanoparticles flux (ZNF) effect on natural convection about a cylinder of elliptic cross section embedded in Darcy porous media filled with a nanofluid is numerically analyzed. The boundary conditions of cylinder of elliptic cross section are kept at the uniform wall temperature (UWT) and the zero nanoparticle flux to cause the results to be more realistic and useful. The model used for the nanofluid

The magnetohydrodynamic (MHD) peristaltic flow of Jeffrey fluid in a channel with compliant wall is investigated in the presence of heat transfer. The fluid fills the porous space. Mathematical modeling is based upon modified Darcy's law. The solutions of stream function, velocity and temperature distributions are derived under long wavelength and low Reynolds number approximations. The effects of

This paper is devoted to the development of a lower dimensional differential equation for the flow of a fluid with pressure dependent viscosity and drag, through a porous solid, corresponding to a model that includes generalizations of the Brinkman and Forchheimer models as special sub-cases. The general equations governing the flows of fluids with pressure dependent viscosity are nonlinear and much

In current analytic thinking, we have unveiled influence of shapes of Al2O3 nanoparticles in aqueous medium flowing in the porous space between eccentric cylinders. The flow is driven due to sinusoidal wave on the flexible wall of outer cylinder while inner cylinder is rotating with a constant speed. Also, the heat transfer with the mutual effects of electrical and magnetic field is observed. Equations

Several interactive and non-interactive bundle-of-tubes models have been proposed to analyse immiscible displacements in porous media. However, it has not been shown whether these models can quantitatively predict multiphase flows from core analysis. The purpose of this work is to present development and assessment of a constant-rate non-interactive bundle-of-tubes model. Tubes were constructed using

The present work aims to explore the impact of the different operating parameters on the performance of reverse osmosis desalination unit having a thin film composite (TFC) membrane type. Three parameters are studied; feed stream flow rate (1- 2.75 L/min), the salt concentration of feed stream (3250 - 4250 ppm) and feed temperature (29-35°∁). The results revealed that, for all feed stream salt concentrations

During water flooding of heterogeneous oil reservoirs, early breakthrough of water can occur and lead to poor volumetric sweep efficiency. Macro-emulsions with oil droplets dispersed in a continuous water phase [oil-in-water (o/w) emulsions], have the potential to block high-permeability zones in these reservoirs, and thereby improve the volumetric sweep by diverting the water flow from high-permeability

The present study deals with the fluid flow and heat transfer in a pipe partially filled with porous media at a high Reynolds number. In addition to turbulence effects in this situation, interstitial fluid mixing within the pores plays an important role, causing significant thermal dispersion. The aim of the present study is to evaluate and compare the effects of these phenomena on the heat transfer

Investigation of rarefied gas flow through unconventional reservoirs has been a challenging task due to the coexistence of slippage and transition flow regimes. Considering the invalidity of traditional continuum flow theory for describing rarefied gas flow, in this work, the discrete velocity method, which is capable of all flow regimes and accurately predicts the nonequilibrium gas dynamics, is employed

The onset of stationary convection in electrohydrodynamic thermal instability of Jeffrey nanofluid layer saturating a porous medium for free-free, rigid-free, and rigid-rigid boundaries is studied. Darcy-Jeffrey fluid model is used to describe rheological behavior of nanofluid. The conservation of momentum equations are modified due to the presence of Jeffrey parameter and under the influence of an

An exploration of the state of mixed convection flow due to an isothermal vertical wedge submersed in saturated porous medium utilizing Buongiorno's nanofluid paradigm is the primary intention of our research. In this pioneering investigation, Buongiorno's nanofluid model that encompasses the effects of both Brownian motion and thermophoresis is employed. The paradigm regards the case in which the

In this paper, linear and nonlinear stability analyses are performed to study Rayleigh-Benard convection in a porous medium saturated with nanofluid under periodic rotation. The revised boundary conditions are used. A Venezian approach is adopted to perform the linear stability analysis, while a truncated Fourier series method is adopted for nonlinear analysis. The critical Rayleigh number is corrected

Modeling of fluid flow considering radially symmetric reservoirs is common in groundwater science and petroleum engineering. The Hankel transform is suitable for solving boundary value problems, considering this flow geometry. However, there are few applications of this transform for reservoirs with a finite wellbore radius, although there are formulas of the finite Hankel transform for homogeneous

Measurement of gas sorption capacity in a shale gas reservoir is significant to comprehending the mechanism of gas storage and resource assessments. In this study, gas sorption experiments on shale samples have been conducted, and a gas sorption analytical model has been proposed. This model is validated with previously published data. With this, the effective porosity is analyzed by combining the

In this paper, the simultaneous effect of Hall current and ion slip on an infinite-length model of ciliary propulsion of a microscopic organism through porous medium has been investigated. We have considered a symplectic metachronal wave of extensible envelope over the organism. The partial differential equations of creeping flow are transformed into an ordinary differential equation with the help

Hydraulic fracturing is a widely used technique to produce several conductive fractures in low-permeability reservoirs resulting in the improvement of production. The embedded discrete fracture model has received considerable attention to simulate the flow in fractured reservoirs due to its low cost. In low-permeability reservoirs with conductive fractures, there is a large capillary pressure difference

In this contribution, double-diffusive natural and mixed convection of nanofluids in porous cavities are simulated for cases wherein the base fluid is itself a binary mixture (i.e., salty water). To this aim, a new mathematical model based on the Buongiorno's two-phase model is proposed. The current model incorporates thermophysical properties of a solid matrix, nanoparticles, salt, and water in the

In the present investigation, the flow of Jeffrey nanofluids is analyzed by using convective heating conditions. The nanoparticles are considered over a stretched surface that moves and oscillates periodically due to sine oscillations of the sheet. The combined porous and magnetic effects are taken into consideration for flow of non-Newtonian fluids with nanoparticles, and their influence is graphically

The interaction of the mixed convective boundary layer nanofluid flow with the thermal dispersion of heat and mass transfers in an isothermal vertical wedge implanted in a porous medium has been investigated. Using nonsimilarity solutions, the energy equation, which includes the thermal dispersion, accelerates fully nonlinear partial differential equations. The governing coupled nonsimilarity equations

We present a numerical scheme based on explicit finite difference approximation to handle the three-dimensional boundary layer flow of absorbing, emitting, and electrically conducting grey nanofluid over a flat surface. Nanofluid is designed by suspending iron-oxide nanoparticles (IONPs) in the base fluid. The flow field is assumed to be embedded in the porous medium, which executes vibrational rotations

In this paper, the effect of porous passage on dusty second-grade fluid with the slip parameter in an asymmetric channel has been studied. The situation is demonstrated mathematically using nonlinear coupled equations. An analytical solution of the problem is gained by applying a regular perturbation method. The stream functions for both fluid and solid particles and the pressure gradient are calculated

Ongoing work addresses the unsteady magnetohydrodynamics (MHD) flow of viscous liquid generated by the rotation of a stretchable disk under time-based sinusoidal oscillations in the occupancy of homogeneous and heterogeneous aspects. The three-dimensional flow problem is normalized by implementing dimensionless variables. The obtained nonlinear system is solved numerically by using a scheme of finite

Laminar free convection in a trapezoidal cavity containing porous media is analyzed in this study for various relevant variables such as Rayleigh number, angle of the side inclined wall, and thermal conductivity using fluid-structure interaction. Two configurations of trapezoidal enclosure were analyzed in this investigation to compare flow and heat transfer characteristics between the rigid and flexible

In this paper, a numerical study for magnetohydrodynamic free convection in a square enclosure with cold irregular obstacles at the center of the cavity is performed. The cavity is filled with nanofluids (Al2O3-water) embedded in an isotropic porous medium. All walls of the enclosure have heated parts near the corners (heated corners) while the remaining parts of the top and bottom walls are thermally

The Darcy-Forchheimer-Brinkman system is one mathematical model that describes the motion of a viscous fluid located in a porous domain. Recently, many papers have established the existence of a unique solution for this system depending on the boundary condition imposed. In this paper we investigate numerically a special Dirichlet-Robin boundary value problem associated with the nonlinear Darcy-Forchheimer-Brinkman

In this present paper, we have investigated a numerical solution to the melting heat transfer on micropolar fluid flow over a stretchable porous medium. The partial differential equations of governing flow are changed to dimension-less ordinary differential equations by using similarity transformation and then solved by the Runge-Kutta-Fehlberg fourth- and fifth-order (RKF-45) method with shooting

We have considered the MHD flow of an electrically conducting second-grade fluid through porous medium over a semi-infinite vertical stretching sheet. Thermophoresis, thermal radiation, and convective boundary conditions are taken into account. The governing equations reduced into a nondimensional form, making use of similarity transformations. The confined similarity equations are originated and solved

This paper presents an iterative reproducing kernel algorithm for obtaining the numerical solutions of Riesz fractional diffusion and advection-dispersion equations in porous media on a finite domain. The representation of the exact and the numerical solutions is given in the W (Ω) and H (Ω) inner product spaces. The computation of the required grid points relies on the R(y,s) (x, t) and r(y,s) (x

In this work, a comprehensive pore-network model is developed for simulation of multicomponent diffusion through a porous media. In a pore-network model, the porous media structure is considered to be a three-dimensional regular network of nodes and the pores that are connecting them to each other. In this paper, a pore-network model was used to compute the diffusivity of natural gas, which consists

The hydraulic conductivity of the vitreous humor has been measured for the bovine eye. The experiment was carried out by placing it within upright cylindrical chamber, open at both ends, and letting its liquid content drain out of the bottom opening by gravity, through a 20μm nylon mesh filter. Additional negative pressure was provided at the exit by a hanging drainage tube. The diminishing vitreous

A numerical study was conducted to analyze fluid flow within hollow fiber membranes of the artificial lungs. The hollow fiber bundle was approximated using a porous media model. In addition, the transport equations were solved using the finite-element formulation based on the Galerkin method of weighted residuals. Comparisons with previously published work on the basis of special cases were performed