Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Abstract

Through our paper, thermosolutal convection of viscoplastic materials 'so called Bingham plastics' which occurs into a porous matrix with an inner pollutant source has been treated numerically, in the aim to light out the impact of some relevant parameters; such Lewis and porous Rayleigh numbers; as well as the buoyancy ratio and the source dimension one; on a such conjugate phenomenon. To do so, the physical model for the momentum conservation equations is made using the Brinkman extension of the classical Darcy equation. The set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. The heat and solute source within the porous space has taken a circular shape. Simply said, our pollutant source is a transport pipe which presented in 2D.To handle the latter in Cartesian Coordinates; the Cartesian Cut-Cell approach was adopted. After a careful treatment of such double-diffusive convection within the Bingham-porous space; powerful expressions that expect the mean transfer rates in such industrial geometry are set forth as a function of the governing parameters. These correlations, which predicted with ±3% the numerical results, may count as a complement to previous Newtonian-fluid researches. It is to note that the validity of the computing code was ascertained by comparing our results with experimental data and numerical ones, already available in the literature.

About the Oscillatory Flow Phenomenon within 3D Cylindrical Annulus: Critical Buoyancy and Annulus’ Aspect Ratio for Oscillation Stability

“…Convective flows of horizontal annulus, which bounded by two circular cylinders and held at different temperatures, have been intensely studied through the last decades, as well experimentally as numerically [1][2][3][4][5][6][7]. Such a research investment was mainly related to its importance and it wide range of industrial applications, much like heat exchangers, solar power collectors, and nuclear reactor core' stability, to name but a few [1][2][3][4][5][6][7][8].…”

EMHD Laminar Flow of Bingham Fluid Between Two Parallel Riga Plates

“…The MHD Couette flow including thermal radiation, laminar flow with suction and Hall current as well as Ion-slip, unsteady boundary layer flows in a porous medium, viscous incompressible flow including Hall current and MHD two-phase Couette flow for the Bingham fluid through parallel plates or moving plates with heat source and viscous dissipation have been numerically studied [17][18][19][20][21][22][23]. For Bingham Plastic, the circular heat and solute source within a viscoplastic porous enclosure: the critical source dimension for optimum transfers has been considered by [24]. Such Couette flow under the action of an imposed magnetic field has vast applications in some systems like; MHD power generators, accelerators, polymer technology, crude oil purification, fluid droplets sprays and petroleum industry.…”