Effects of radiation--conduction interaction on mixed convection from a vertical cone embedded in a porous media with high porosity

Abstract

Abstract:The problem of steady laminar mixed convection heat transfer about a vertical cone embedded in a porous medium with high porosity was studied numerically, taking into account the radiation-conduction effect. The fluid was assumed to be incompressible and dense. The nonlinear coupled parabolic partial differential equations governing the flow were transformed into nonsimilar boundary layer equations, which were then solved numerically using the Keller box method. The effects of the exponent in the power law variation of the free stream velocity m, the mixed convection parameter Ri, the radiation-conduction parameter R d , the surface temperature parameter θw , and Forchheimer parameter γ on the velocity and temperature profiles, as well as on the local skin friction and local heat transfer, are presented and analyzed. The validity of the methodology and analysis was checked by comparing the results obtained for some specific cases with those available in the literature.

Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

“…Fu et al investigated flow reversal of mixed convection in a three dimensional channel and concluded that an increase in Richardson number, natural convection dominates the flow and thermal field of combine convection [39]. Kaya found nonsimilar solutions of steady laminar mixed convection heat transfer flow from a perpendicular cone in a porous medium with influence of radiation, conduction, interaction and having high porosity [40]. Jafari et al studied unsteady combined convection flow in a cavity in presence of nanofluid [41].…”

Numerical Investigation of Chemically Reacting MHD Flow Due to a Rotating Cone with Thermophoresis and Brownian Motion

“…In order to get the effective results, comprehensive numerical computations are carried out for various values of parameters such as Magnetic field parameter M , Porosity parameter , Thermophoresis parameter Nt, Brownian motion parameter Nb , Chemical reaction parameter  , Buoyancy parameter  that describe the flow characteristics. The system of non linear ordinary differential equations (8) to (12) with boundary conditions (13) are solved numerically by using Runge-Kutta based shooting technique. The distributions of the tangential velocity () f  , circumferential velocity () g  , normal velocity () h  , temperature ()  and concentration ()…”

“…Thermal radiation impact on MHD nanofluid flow through a rotating cone with Brownian motion and thermophoresis parameters was theoretically analyzed by Nadeem and Saleem [12]. Ahmet Kaya [13] numerically analyzed the effects of high porosity on mixed convective heat transfer flow through a vertical cone placed in a porous media. The steady MHD mixed convective flow of a chemically reacting fluid through a rotating vertical cone placed in a porous regime in presence of Soret and Dufour effects was discussed by Sharma and Debozani [14].…”