Abstract
The objective of this paper is to investigate analytically the convective flow of heat and mass transfer in vertical wavy channels due to travelling thermal waves. Effect of radiation, temperature dependent heat source/sink, concentration dependent mass source are taken into account. To tackle the highly complex non-linear problem, the perturbation technique is applied with long wave approximation.
Highlights
The problem of heat and mass transfer offluid flows during a porous medium is of importance in geophysics, geothermal, metallurgy, aerodynamics, extrusion of plastic sheets and other engineering processes such as transpiration cooling of vehicles re-entry, missile launching, equilibrium ablation in chemically reacting flow fieldsand film atomization in combustion chambers.In view of these applications, Lekoudis et al [1976] used a semi-analytical technique to work out the compressible viscous flows past wavy walls without restricting the mean flow which was linear within the disturbance sub-layer
Vajravelu and Debnath [1986] made a stimulating and an in-depth study of nonlinear convection heat transfer and fluid flows, in an incompressible viscous fluid confined to a wavy channel in four geometrical configurations which gave a special attention to the heat transfer results which can have definite pertaining to the design of oil-or gas-fired boilers
Umavathi and Shekar [2011] paid attention towards thestudy of flow and heat transfer during a vertical wavy channel, containing porous layer saturated with a fluid and a transparent viscous fluid layer, where, the porous matrix is assumed to be sparse and the Darcy-Brinkman model was adopted to explain the fluid flow in porous medium region.Raju and Muralidhar [2012] made an effort to analyse the unsteady convective heat and mass transfer flow of viscous, electrically conducting fluid confined during a vertical channel on whose walls an oscillatory temperature and concentration are prescribed with the effect of chemical reaction and heat source
Summary
The problem of heat and mass transfer offluid flows during a porous medium is of importance in geophysics, geothermal, metallurgy, aerodynamics, extrusion of plastic sheets and other engineering processes such as transpiration cooling of vehicles re-entry, missile launching, equilibrium ablation in chemically reacting flow fieldsand film atomization in combustion chambers. In view of these applications, Lekoudis et al [1976] used a semi-analytical technique to work out the compressible viscous flows past wavy walls without restricting the mean flow which was linear within the disturbance sub-layer. Umavathi and Shekar [2011] paid attention towards thestudy of flow and heat transfer during a vertical wavy channel, containing porous layer saturated with a fluid and a transparent viscous fluid layer, where, the porous matrix is assumed to be sparse and the Darcy-Brinkman model was adopted to explain the fluid flow in porous medium region.Raju and Muralidhar [2012] made an effort to analyse the unsteady convective heat and mass transfer flow of viscous, electrically conducting fluid confined during a vertical channel on whose walls an oscillatory temperature and concentration are prescribed with the effect of chemical reaction and heat source
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