Wedge In Porous Medium Research Articles

MHD boundary layer flow of viscoelastic fluid over a wedge in porous medium

MHD boundary layer flow of viscoelastic fluid over a wedge in porous medium

Cross Diffusion and Internal Heat Generation Effects on Mixed Convection of Non-Newtonian Fluids Flow Adjacent to a Vertical VHF/VMF Wedge in Porous Media: the Entire Regime

The problem of cross diffusion (Soret/Dufour) and internal heat generation effects on combined convection flow of non-Newtonian fluids flow over the vertical wedge in a saturated porous medium with the entire regime is solved numerically. The internal heat generation is assumed to be an exponential decaying form. The power law model of Ostwald-de-Waele for non-Newtonian fluids is considered here. The entire regime of the combined convection is included, as the combined convection parameter varies from 0 (pure free convection) to 1 (pure forced convection). The transformed equations are obtained by using a suitable coordinate transformation and then Keller box method (KBM) is utilized to solve the non-similar equations for the variable heat flux and variable mass flux (VHF/VMF) conditions. Comparisons with the previously published article are performed and the good agreement is achieved. The main numerical results for the dimensionless temperature and concentration distributions, the local Nusselt and Sherwood numbers are obtained.

Mixed Bioconvective Flow Over a Wedge in Porous Media Drenched with a Nanofluid

A mathematical model is accentuated the mixed bioconvective flow on a vertical wedge in a Darcy porous medium filled with a nanofluid containing both nanoparticles and gyrotactic microorganisms. Thermophoresis and Brownian motion impacts are addressed to consolidate energy and concentration equations with passivelycontrolled boundary conditions. A mixed convective parameter for the whole regime of the mixed convective is appointed. The system of governing partial differential equations is converted into a non-similar set, which are then solved by an implicit finite difference method. By taking the impacts of the varying pertinent parameters, namely, the bioconvection nanofluids and wedge angle parameters in the entire mixed convection regime, the numerical results are analyzed graphically for the dimensionless the velocity, temperature, nanoparticle volume fraction and the density motile microorganisms profiles as well as the local Nusselt and motile microorganism numbers.

Mixed Bioconvective Flow Over a Wedge in Porous Media Drenched with a Nanofluid

A mathematical model is accentuated the mixed bioconvective flow on a vertical wedge in a Darcy porous medium filled with a nanofluid containing both nanoparticles and gyrotactic microorganisms. Thermophoresis and Brownian motion impacts are addressed to consolidate energy and concentration equations with passivelycontrolled boundary conditions. A mixed convective parameter for the whole regime of the mixed convective is appointed. The system of governing partial differential equations is converted into a non-similar set, which are then solved by an implicit finite difference method. By taking the impacts of the varying pertinent parameters, namely, the bioconvection nanofluids and wedge angle parameters in the entire mixed convection regime, the numerical results are analyzed graphically for the dimensionless the velocity, temperature, nanoparticle volume fraction and the density motile microorganisms profiles as well as the local Nusselt and motile microorganism numbers.

On the Analytic Solution of Magnetohydrodynamic (MHD) Flow by a Moving Wedge in Porous Medium

This paper is devoted to find analytic approximate solution by optimal homotopy asymptotic method (OHAM) for the problem of nonlinear boundary layer flow. Two-dimensional magneto-hydrodynamic (MHD) flow of a viscous fluid over a moving wedge in porous medium with suction/injection is investigated. Governing equations are transformed by similarity method into a third order Falkner-Skan equation and solved analytically using OHAM. This approach is highly efficient, ensuring a very rapid convergence of the solution only after one iteration. Graphical results are presented to discuss the effects of various parameters on velocity profiles. Further, the skin friction coefficient is also tabulated and compared with the corresponding results available in literature. Our results were found in an excellent agreement.

Gyrotactic Microorganisms Mixed Convection Nanofluid Flow along an Isothermal Vertical Wedge in Porous Media

Gyrotactic Microorganisms Mixed Convection Nanofluid Flow along an Isothermal Vertical Wedge in Porous Media

Temperature-Dependent Viscosity Effects on Non-Darcy Hydrodynamic Free Convection Heat Transfer from a Vertical Wedge in Porous Media

An analysis is presented to investigate the effect of temperature-dependent viscosity on free convection flow along a vertical wedge adjacent to a porous medium in the presence of heat generation or absorption. The governing fundamental equations are transformed into the system of ordinary differential equations using scaling group of transformations and are solved numerically by using the fifth-order Rung–Kutta method with shooting technique for various values of the physical parameters. The effects of variable viscosity parameter on the velocity, temperature and concentration are discussed. Numerical results for the problem considered are given and illustrated graphically.

Numerical study of natural convection heat transfer with variable viscosity and thermal radiation from a cone and wedge in porous media

The effect of thermal radiation on the non-Darcy natural convection flow over a vertical cone and wedge embedded in a porous medium with variable viscosity and wall mass flux was investigated numerically. The fluid is assumed to be a gray, absorbing-emitting radiation by non-scattering and obeys Rosseland approximation for the thermal radiation heat flux. The transformed governing equations are soled by using finite difference scheme. The obtained results are compared with earlier papers on special cases of the problem and are found to be in excellent agreement. The effects of various parameters on the fluid flow and heat transfer profiles on the velocity and temperature profiles as well as the wall heat transfer are presented graphically and in tabulated form.

Variable viscosity and thermal conductivity effects on combined heat and mass transfer in mixed convection over a UHF/UMF wedge in porous media: the entire regime

Mixed convection along a wedge embedded in a fluid-saturated porous media incorporating the variation of viscosity and thermal conductivity has been investigated for the case of uniform heat flux (UHF) and uniform mass flux (UMF). The governing equations, reduced to local nonsimilarity boundary layer equations using suitable transformations, have been solved numerically employing finite difference method. The entire regime of the mixed convection is included, as the mixed convection parameter χ varies from 0 (pure free convection) to 1 (pure forced convection). The numerical results for the dimensionless temperature, dimensionless concentration, local Nusselt (Sherwood) number are obtained. The decay of the dimensionless temperature and concentration profiles has been observed. The local Nusselt (Sherwood) number increase for the increase in buoyancy ratio N and for the decrease in wedge angle parameter λ. Also the local Nusselt number decreases for the increase of ε or γ and the local Sherwood number increases for the increase of γ and decreases for the increase of ε. The variations of the local Nusselt (Sherwood) number with the increase of χ have the phenomenon of minimum. It is observed that the Lewis number has a more pronounced effect on the local Sherwood number than it has on the local Nusselt number.

Radiation Effect on Mixed Convection over an Isothermal Wedge in Porous Media: The Entire Regime

Numerical solutions are presented for the effect of radiation on mixed-convection flow of optically dense viscous fluids about an isothermal wedge embedded in a saturated porous medium. The partial differential equations are transformed into the nonsimilar boundary-layer equations, which are solved by the Keller box method. Numerical results for the dimensionless temperature profiles and the local Nusselt number parameter are presented for the combined convection parameter X, the wedge angle parameter A, the radiation-conduction parameter R d , and the surface temperature parameter H. The entire regime of the mixed convection is included, when X varies from 0 (pure free convection) to 1 (pure forced convection). As X varies from 0 to 1, the variation of the local Nusselt number parameter has the phenomenon of minimum. As the wedge angle parameter λ increases, the local Nusselt number parameter increases. When the radiation effect becomes significant (for the case of large values of R d and H), the local Nusselt number parameter is also greatly increased

Simultaneous Heat and Mass Transfer by Natural Convection from a Cone and a Wedge in Porous Media

Simultaneous Heat and Mass Transfer by Natural Convection from a Cone and a Wedge in Porous Media

Coupled heat and mass transfer in mixed convection over a VHF/VMF wedge in porous media: The entire regime

Coupled heat and mass transfer in mixed convection about a wedge embedded in saturated porous media has been analyzed by nonsimilar solutions for the case of variable heat flux (VHF) and variable mass flux (VMF). The entire regime of the mixed convection is included, as the mixed convection parameter χ* varies from 0 (pure free convection) to 1 (pure forced convection). The transformed nonlinear system of equations is solved by using an implicit finite difference method. The dimensionless temperature profiles, the dimensionless concentration profiles, the local Nusselt number and the local Sherwood number are presented. The decay of the dimensionless temperature profiles and the dimensionless concentration profiles has been observed in all cases. The local Nusselt number and the local Sherwood number increase for the increase in buoyancy ratioN*, wall heat/mass flux exponents and for the decrease in wedge angle parameter λ. The variations of the local Nusselt number and the local Sherwood number with the increase of χ* have the phenomenon of minimum. For a positive (negative)N*, increasing the Lewis number decreases (increases) the local Nusselt number. On the other hand, the local Sherwood number enhances as the Lewis number increases. Moreover, it is observed that the Lewis number has a more pronounced effect on the local Sherwood number than it has on the local Nusselt number.

Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media

Continuum equations governing non-Darcy hydromagnetic free convection flow of an electrically conducting and heat-generating fluid over a vertical cone and a wedge adjacent to a porous medium are developed. These equations account for such effects as buoyancy, boundary and inertia effects of porous media, Hartmann effects of magnetohydrodynamics, and heat generation or absorption of fluid. Similarity variables were employed for the case of variable surface temperature and the resulting ordinary differential equations are solved numerically by an implicit, iterative, finite-difference method. Flow and heat transfer numerical results are obtained for various combinations of physical parameters. Graphical results illustrating interesting features of the physics of the problem are presented and discussed.

Mixed convection about a cylinder embedded to a wedge in porous media

A treatment is presented of the mixed convection boundary layer about an isothermal circular cylinder embedded in an unheated wedge of induced angle m(pi) and in a fluid-saturated porous medium. This is held to be a more realistic model of geological formations than a sharp-edge configuration. Nusselt number results are presented over a wide range of values of the buoyancy-force parameter, as well as for various wedge angles. 7 refs.

Erratum for “Intruded Salt-Water Wedge in Porous Media”

Erratum for “Intruded Salt-Water Wedge in Porous Media”

Intruded Salt-Water Wedge in Porous Media

A laboratory model of a two-dimensional, confined aquifer containing an isotropic homogeneous, porous medium was used to investigate the gravitational convection and dispersion of salt water. An equation for the rate of movement of the intruding wedge toe is presented and experimentally verified for the case of zero net fresh ground-water flow to the ocean. The earlier work of Henry in defining the equilibrium position of the intruded wedge is experimentally confirmed. The extent of the zone of dispersion at the salt-fresh interface due to the steady fresh-water flow to the ocean is treated analytically, and reasonable agreement is found experimentally. The additional interfacial mixing due to tidal effects is shown to be governed by a longitudinal and a lateral coefficient of dispersion that are functions of the pore system geometry of the medium and the tidally-induced seepage velocities.