Natural Convection Heat Transfer About a Vertical Cone Embedded in a Tridisperse Porous Medium

Abstract

This work studies the natural convection heat transfer about a vertical cone embedded in a tridisperse porous medium with constant wall temperature. The three-velocity threetemperature formulation is used to derive the governing partial differential equations. The coordinate transformation and the order-of-magnitude analysis are then used to obtain the nonsimilar boundary layer partial differential equations. The cubic spline collocation method is then used to solve the nonsimilar boundary layer partial differential equations. The effects of two inter-phase heat transfer parameters, three modified thermal conductivity ratios, and two permeability ratios on the heat transfer and flow characteristics of the tridisperse porous medium are studied. Results show that increasing the three modified thermal conductivity ratios or the two permeability ratios tends to increase the natural convection heat transfer rate of the vertical cone in a tridisperse porous medium. Moreover, the thermal non-equilibrium phenomena between the three phases of the tridisperse porous medium are affected by the streamwise coordinate and the two inter-phase heat transfer parameters. The thermal nonequilibrium effects between the three phases of the tridisperse porous medium become significant as the two inter-phase heat transfer parameters or the streamwise coordinates are small.

Tridispersive thermal convection

“…Theoretical work on thermal flow in tridispersive porous media commenced with work of Nield and Kuznetsov [16]. Further work on various problems is due to Nield & Kuznetsov [17], Cheng [5], Ghalambaz et al [13], and Straughan [22], chapter 13. Fundamental work on the thermal convection problem was developed by Kuznetsov & Nield [14].…”

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

“…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. In the year 2010 he also described impact of Soret and Dufour trends on convective mode of energy transmissions on a perpendicular curtailed cone in a fluid-drenched pores zone with varying cone surface hotness and the amount of species levels.…”