Abstract
In the present paper we examine the steady double-diffusive free convective heat and mass transfer of a chemically-reacting micropolar fluid flowing through a Darcian porous regime adjacent to a vertical stretching plane. Viscous dissipation effects are included in the energy equation. Assuming incompressible, micro-isotropic fluid behaviour the transport equations are formulated in a two-dimensional coordinate system (x, y) using boundary-layer theory. The influence of the bulk porous medium retardation is modeled as a drag force term in the translational momentum equation. Transformations render the conservation equations into dimensionless form in terms of a single independent variable, η, transverse to the stretching surface. A simplified first order homogenous reaction model is also used to simulate chemical reaction in the flow. Using the finite element method solutions are generated for the angular velocity field, translational velocity field, temperature and species transfer fields. The effects of buoyancy, porous drag and chemical reaction rate are studied. Chemical reaction is shown to decelerate the flow and also micro-rotation values, in particular near the wall. Mass transfer is also decreased with increasing chemical reaction rate. Increasing Darcy number is shown to accelerate the flow. Applications of the study include cooling of electronic circuits, packed-bed chemical reactors and also the near field flows in radioactive waste geo-repositories.
Highlights
Micropolar convection flows have been analyzed by many authors following the seminal work of Eringen who introduced the micropolar fluid [1] as a special case of the micromorphic fluid [2]
An excellent study of two-dimensional coupled magneto-convective heat and mass transfer in micropolar flow through a Darcian porous medium was communicated by Kim [11] who obtained solutions using the Keller-box implicit method
Mahajan and Gebhart [15] reported on the influence of viscous heating dissipation effects in natural convection flows, showing that heat transfer rates are depressed by an increase in the dissipation parameter
Summary
Micropolar convection flows have been analyzed by many authors following the seminal work of Eringen who introduced the micropolar fluid [1] as a special case of the micromorphic fluid [2]. More recently Bharagava et al [13] have studied convective heat and mass transfer of a micropolar fluid in a Darcian porous square cavity with heat source effects using finite element and finite difference methods These studies did not consider the important effect of viscous mechanical dissipation. In the present analysis we shall consider the viscous dissipation and buoyancy effects on micropolar chemically-reactive convective heat and mass transfer past a stretching surface adjacent to a micropolar fluid-saturated porous medium. Such a study goes beyond those already reported and constitutes an important addition to the scientific literature on environmental contamination, geophysical transport phenomena and reactive nonNewtonian thermofluid dynamics in the process industries
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