porous medium

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

This study seeks to examine the fluid flow at the stagnation point over an exponentially shrinking and stretching sheet in a porous medium.  This study also investigates the heat transfer rate in the presence of heat generation.  By using the appropriate similarity transformation, we obtained ordinary differential equations (ODEs) that are reduced from the governing system of partial differential equations (PDEs).  These resulting equations are subjected to new boundary conditions and solved numerically by using BVP4C in MATLAB software.  The effects of the parameters i

Heat transfer analysis on magneto–ternary nanofluid flow in a porous medium over a moving surface

Researchers have become attracted with ternary hybrid nanoparticles because of its effectiveness in enhancing heat transfer and have gone on to further analyze the working fluid.  This study is focusing on magneto-ternary nanofluid flow in a porous medium over a moving plate with Joule heating.  The combination of TiO$_2$, SiO$_2$, and Al$_2$O$_3$ with water, H$_2$O, as the based fluid is used for the analysis.

Ternary hybrid nanofluid flow caused by thermal radiation and mass transpiration in a porous stretching/shrinking sheet

In the current analysis, ternary hybrid nanofluid flow with heat transfer under the influence of transpiration and radiation is explored.  Partial differential equations (PDEs) of the current work are mapped by using a similarity variable to convert into ordinary differential equations (ODEs) form.  The volume fractions of the ternary hybrid nanofluid are used in the entire calculation to achieve better results.  The exact investigation of the momentum equation produces the domain value.  The impact of thermal radiation  is considered under energy equation and solved analytically with solut

MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip

Magnetohydrodynamics (MHD) stagnation point flow in a porous medium with velocity slip is investigated in this study.  The governing system of partial differential equations is transformed into a set of non-linear ordinary differential equations by using the similarity transformation.  Subsequently, the transformed equations are numerically solved by using the shooting method in MAPLE software.  The skin friction coefficient and the local Nusselt number are obtained and presented graphically.  The effects of the governing parameters including the velocity slip, magnetic and permeability par

3D model and numerical algorithm for gas filtration in porous media

The article presents a three-dimensional mathematical model of the gas filtration process in porous media and a numerical algorithm for solving the initial-boundary value problem.  The developed model is described using the nonlinear differential equation in partial derivatives with the appropriate initial and boundary conditions.  The proposed mathematical apparatus makes it possible to carry out hydrodynamic calculations taking into account changes in the main factors affecting the process under consideration: permeability, porosity, and thickness of layers, gas recovery coefficient, visc

Investigation of drying the porous wood of a cylindrical shape

In the presented study, the mathematical model for drying the porous timber beam of a circular cross-section under the action of a convective-heat nonstationary flow of the drying agent is constructed.  When solving the problem, a capillary-porous structure of the beam is described in terms of a quasi-homogeneous medium with effective coefficients, which are chosen so that the solution in a homogeneous medium coincides with the solution in the porous medium.  The influence of the porous structure is taken into account by introducing into the Stefan–Maxwell equation the effective binary inte

Mathematical modeling of fluid flows through the piecewise homogeneous porous medium by R-function method

The stationary fluid flow through a piecewise homogeneous porous medium is considered under the assumption that Darcy's law holds.  The mathematical model of this problem is defined as an elliptic equation for the stream function, supplemented by the second-type boundary conditions at the water boundaries and the first-type boundary conditions at the impervious to liquid boundaries.  The problem statement also includes the conditions of conjugation at the separation line between two soils and the unknown value of fluid discharge, which can be established from the additional integral ratio. 

The gas filtration in complex porous media with stagnant zones

The process of gas filtration in a porous medium depending on its structure is modeled in the paper.  The presence of pores of various sizes leads to the formation of flow and stagnation zones, which affect both the pressure distribution in the medium and the active gas mass.  The obtained results make it possible to determine the proportion of the flow zones volume and the exchange coefficient between the flow and stagnant zones.