Heat and mass transfer by non‐Darcy free convection from a vertical cylinder embedded in porous media with a temperature‐dependent viscosity

Abstract

Purpose-The purpose of this paper is to consider heat and mass transfer by natural convection from a vertical cylinder in porous media for a temperature-dependent fluid viscosity in the presence of radiation and chemical reaction effects. Design/methodology/approach-The governing equations are transformed into non-similar differential equations and then solved numerically by an efficient finite-difference method. Findings-It is found that there are significant effects on the heat and mass transfer characteristics of the problem due to the variation of viscosity and radiation and chemical reaction effects. Originality/value-The paper combines the effects of radiation, chemical reaction, non-Darcy porous media effects along with the variation of viscosity with temperature.

Heat and Mass Transfer by Unsteady Natural Convection over a Moving Vertical Plate Embedded in a Saturated Porous Medium with Chemical Reaction, Soret and Dufour Effects

“…have also discussed the effect of chemical reaction on heat and mass transfer by mixed convection flow about a solid sphere in a saturated porous media. Chamkha et al (2011) have investigated the effect of chemical reaction on heat and mass transfer by nonDarcy free convection from a vertical cylinder embedded in porous media. Muthucumaraswamy et al (2013) have studied the effects of rotation and chemical reaction on the hydromagnetic freeconvection flow of a fluid past a uniformly accelerated infinite isothermal vertical plate with variable mass diffusion.…”

Computational unsteady flow analysis for third‐grade fluid from an isothermal vertical cylinder through a Darcian porous medium

“…The numerical investigation is carried out by Loganathan and Eswari and found that boundary layers (velocity and thermal) increase with increased permeability parameter. For non‐Darcy porous medium, free‐convective heat and mass transfer analysis from an isothermal vertical cylinder was studied by Chamkha et al Reddy studied the radiation effects over a cylinder for variable concentration and surface temperature …”

“…The numerical investigation is carried out by Loganathan and Eswari 35 and found that boundary layers (velocity and thermal) increase with increased permeability parameter. For non-Darcy porous medium, free-convective heat and mass transfer analysis from an isothermal vertical cylinder was studied by Chamkha et al 36 Reddy studied the radiation effects over a cylinder for variable concentration and surface temperature. 37 Considering the research contributions reviewed through literature survey, an attempt has been made to study the flow analysis for the third-grade fluid from a heated vertical cylinder through a porous medium under unsteady conditions.…”

Non‐similar solution for unsteady water boundary layer flows over a sphere with non‐uniform mass transfer

“…The effect of variable viscosity and Prandtl number for steady non-similar axi-symmetric water boundary layer flows over rotating sphere have been discussed in Saikrishnan and Roy (2002) and for unsteady non-similar axi-symmetric water boundary layer flows have been done in Eswara and Nath (1994). Recently different studies have been reported with variable viscosity and Prandtl number (Adekojo Waheed, 2006;Chamkha et al, 2011). Mass transfer from a wall slot into the boundary layer is of interest for various prospective applications together with thermal protections, energizing the inner portion of boundary layer in adverse pressure gradient and skin friction reduction on control surfaces.…”