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2 Turkyilmazoglu M.

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Bödewadt flow and heat transfer of dusty fluid with Navier slip

Turkyilmazoglu M.

Archives of Mechanics

2022

Vol. 74, nr 2-3

157--172

The current work deals with two-phase flow and heat transfer induced by a mixture of fluid and dust particles revolving with a constant angular velocity above a slippage planar wall. Interaction of the solids with the fluid through an interaction force while rotating above the surface is formulated through a similarity system of equations akin to the Bödewadt flow in the absence of suspended particles. Although the velocity fields of fluid and solid are strictly coupled, the heat fields are decoupled from the velocity fields, but they are still in contact with each other due to the coupling of fluid and particle temperatures. The dusty fluid flow character is simulated numerically to capture the fluid and dust phase behaviors. The momentum and thermal layers are resolved in the presence of wall slip mechanism. Illustrative and quantitative results are eventually presented reflecting the physical features of particles and fluid at any stage of interaction during the rotary motion. It is revealed that the wall slip mechanism can be effective enough to alter the usual Bödewadt flow phenomenon.

MHD natural convection in saturated porous media with heat generation/absorption and thermal radiation: closed-form solutions

Turkyilmazoglu M.

Archives of Mechanics

2019

Vol. 71, nr 1

49--64

The present work is devoted to the free convection flow occurring about a heated vertically stretching permeable surface placed in a porous medium under the influence of a temperature dependent internal heat generation or absorption. There are volume radiative heat sources in the fluid and the system is permeated by a uniform magnetic field. It is shown that the governing equations are reducible to a self-similar nonlinear ordinary differential equation of third order whose solutions are constructed analytically in the purely exponential series form. Under special circumstances, closed-form solutions are available which clearly indicate the existence of dual natural convection solutions. Otherwise, analytical solutions are still possible which are shown to be computed from an elegant algorithm without a need to invoke any numerical means. Exact solutions demonstrate, in physical insight that, in the presence of a heat sink absorbing the temperature from the porous medium increases the rate of heat transfer from the wall, whereas a heat source mechanism will surely overheat the system during the wall heating process, resulting in poor heat transfer rates. The presented exact solutions are beneficial for investigation of free convection phenomena in different geometries taking into account more complex physical features in higher dimensions.