Stokes'first problem for the fourth order fluid in a porous half space

In this study, the flow of a fourth order fluid in a porous half space is modeled. By using the modified Darcy＇s law, the flow over a suddenly moving flat plate is studied numerically. The influence of various parameters of interest on the velocity profile is revealed.

Numerically simulated behavior of radiative Fe_(3)O_(4) and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering applications.The present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and radiation.The natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method(CVFEM)-based code,whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu_(ave),flow streamlines,and isotherm profiles.A formula for estimating Nu_(ave) is proposed.The results show that the magnetic force retards the flow,and the fluid tends to attract the magnetic field source.Nu_(ave) is directly correlated with the Rayleigh number and radiation;however,it is indirectly dependent on the Hartmann number.Conduction is the dominant mode at larger Darcy and Hartmann numbers.

Numerical simulation for Darcy-Forchheimer 3D rotating flow subject to binary chemical reaction and Arrhenius activation energy

Three-dimensional Darcy-Forchheimer nanoliquid flow in the presence of rotating frame and activation energy is inspected.Flow is developed through linearly stretching of the surface.Convection of heat and mass exchange is given due consideration.The novel characteristics in regards to Brownian dispersion and thermophoresis are retained.The variation in partial differential framework (PDEs) to nonlinear ordinary differential framework (ODEs) is done through reasonable transformations.Governing differential frameworks have been computed in edge of NDSolve.Discussion regarding thermal field and concentration distribution for several involved parameters is pivotal part.Physical amounts like surface drag coefficients,transfer of heat and mass rates are portrayed by numeric esteems.It is noticed that impacts of porosity parameter and Forchheimer number on the thermal and concentration fields are quite similar.Both temperature and associated thermal layer thickness are enhanced for larger porosity parameter and Forchheimer number.Temperature and concentration fields exhibit similar trend for the higher values of rotational parameter.Effects of thermal and concentration Biot numbers on the temperature and concentration fields are qualitatively similar.Higher Prandtl and Schmidt numbers correspond to stronger temperature and concentration fields.Larger nondimensional activation energy,temperature difference parameter and fitted rate constant yield weaker concentration field.Brownian motion parameter for temperature and concentration has reverse effects while similar trend is observed via thermophoresis parameter.

Darcy-Forchheimer flow with nonlinear mixed convection

An analysis of the mixed convective flow of viscous fluids induced by a nonlinear inclined stretching surface is addressed.Heat and mass transfer phenomena are analyzed with additional effects of heat generation/absorption and activation energy,respectively.The nonlinear Darcy-Forchheimer relation is deliberated.The dimensionless problem is obtained through appropriate transformations.Convergent series solutions are obtained by utilizing an optimal homotopic analysis method(OHAM).Graphs depicting the consequence of influential variables on physical quantities are presented.Enhancement in the velocity is observed through the local mixed convection parameter while an opposite trend of the concentration field is noted for the chemical reaction rate parameter.

Significance of Darcy-Forchheimer Porous Medium in Nanofluid Through Carbon Nanotubes

This article manages Darcy-Forchheimer 3D flow of water based carbon nanomaterial(CNTs).A bidirectional nonlinear stretchable surface has been utilized to make the flow.Disturbance in permeable space has been represented by Darcy Forchheimer(DF)expression.Heat transfer mechanism is explored through convective heating.Outcomes for SWCNT and MWCNT have been displayed and compared.The reduction of partial differential framework into nonlinear common differential framework is made through reasonable variables.Optimal series scheme is utilized for arrangements advancement of associated flow issue.Optimal homotopic solution expressions for velocities and temperature are studied through graphs by considering various estimations of physical variables.Moreover surface drag coefficients and heat transfer rate are analyzed through plots.

Enhancement of R6G fluorescence by N-type porous silicon deposited with gold nanoparticles

By the electrochemical anodization method,we achieve the single-layer macroporous silicon on the N-type silicon,and prepare gold nanoparticles with sodium citrate reduction method. Through injecting the gold nanoparticles into the porous silicon by immersion,the fluorescence quenching mechanism of porous silicon influenced by gold nanoparticles is analyzed. Then the macroporous silicon deposited with gold nanoparticles is utilized to enhance the fluorescence of rhodamine 6G(R6G). It is found that when the macroporous silicon is deposited with gold nanoparticles for 6 h,the maximum fluorescence enhancement of R6G(about ten times) can be realized. The N-type porous silicon deposited with gold nanoparticles can be an excellent substrate for fluorescence detection.