Free Convective MHD Flow Past a Vertical Cone with Variable Heat and Mass Flux

Abstract

A numerical study of buoyancy-driven unsteady natural convection boundary layer flow past a vertical cone embedded in a nonDarcian isotropic porous regime with transverse magnetic field applied normal to the surface is considered. The heat and mass flux at the surface of the cone is modeled as a power law according to ( ) = and * ( ) = , respectively, where denotes the coordinate along the slant face of the cone. Both Darcian drag and Forchheimer quadratic porous impedance are incorporated into the two-dimensional viscous flow model. The transient boundary layer equations are then nondimensionalized and solved by the Crank-Nicolson implicit difference method. The velocity, temperature, and concentration fields have been studied for the effect of Grashof number, Darcy number, Forchheimer number, Prandtl number, surface heat flux power-law exponent ( ), surface mass flux power-law exponent ( ), Schmidt number, buoyancy ratio parameter, and semivertical angle of the cone. Present results for selected variables for the purely fluid regime are compared with the published results and are found to be in excellent agreement. The local skin friction, Nusselt number, and Sherwood number are also analyzed graphically. The study finds important applications in geophysical heat transfer, industrial manufacturing processes, and hybrid solar energy systems.

MHD Free Convective Flow in a Composite Medium Between Co-axial Vertical Cylinders with Temperature Dependent Heat Flux on Inner Cylinder

“…Further, experimental studies carried out by Seghir-Quali et al [8] on an axial air flow with convective heat transfer inside a rotating cylinder and convective flow in a vertical circular cylinder with constant heat flux share the theoretical support of Mohammed and Salman [9]. A numerical study on buoyancy-driven unsteady natural convection boundary layer flow past a vertical cone embedded in a non-Darcian isotropic porous region with transverse magnetic field has been considered by Prakash et al [10]. The transient fully developed free-convective flow of viscous incompressible fluid between two concentric vertical cylinders filled with porous material and saturated with the same fluid has been analysed by Jha et al [11] when outer surface of inner cylinder is subject to isothermal or isoflux heating.…”

“…For carrying out numerical integration, the Eqns. (7)- (10) are reduced to a set of first order differential equations. For this we make the following substitutions:…”

Effect of Heat Generation (Absorption) on Unsteady MHD flow over a Truncated Cone Embedded in a Stable Thermally Stratified Environment

“…An electrically conducting fluid flow in an applied transverse magnetic field has various applications for example pumps, MHD generators, accelerators, flow meters and nuclear waste disposal. In view of these applications, investigators like, Srinivas.et.al [6], Prakash.et.al [7], Iranian.et.al [8] have studied the effect of MHD on free convection flows.…”

A Numerical Investigation on MHD Couple Heat and Mass Transfer Past a Rotating Vertical Cone Embedded in a Porous Medium

“…Chamkha and Rashad in collaboration presented nano-scaled particle suspension in regular liquids through the phenomena of convective mechanism over upright permeable conic sectional cone drenched medium of pores for undeviating nano-sized particles volume ratio metallurgy. Prakash et al [19] generated results on magnetized convective flow across upward straight up cone with fluctuating Heat and mass rates flowing through cross-sectional area. Ching-Yang Cheng [9] examined heat transmission which occurs due to the convective mechanism around upright cone embedded in a tri-disperse spongy regime.…”

“…Hering and Grosh [10] gave out Laminar Combined Convection from a Rotating Cone. Himasekhar et al [19] looked into laminar mixed convection on a vertical rotating cone. Tien [28] took a turning cone and investigated the heat and mass transfer in it within laminar flow constraints.…”