Ongoing work addresses the unsteady MHD flow of viscous liquid generated by rotation of stretchable disk under time based sinusoidal oscillations in the occupancy of homogeneous and heterogeneous aspects. Three-dimensional flow problem is normalized by implementing dimensionless variables. The obtained non-linear system is solved numerically by using scheme of finite differences and successive over

Laminar natural convection in a trapezoidal enclosure filled with porous medium was studied numerically for various pertinent variables such as Rayleigh number, angle of the inclined wall, and effective thermal conductivity of porous medium using fluid structure interaction. Two configurations of trapezoidal enclosure were analyzed in this investigation to compare streamlines, isotherms, and average

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