Radiative heat transfer to flow of a combustible mixture in a vertical pipe

Abstract

The flow of a combustible gas in a vertical cylinder, in the presence of radiative heat transfer, affords the closest model to biomass moving bed gasifier operating at temperatures between 750 and 1500 K. This problem forms the subject matter of the paper under the simplistic assumption of a binary reaction A → B. Under the general differential approximation for radiation, the temperature is perturbed about the wall temperature, and the nonlinear differential equations are subsequently integrated in a closed form. Consequences of the effect of the Arrhenius activation energy are discussed quantitatively.

The flow of a combustible gas in a horizontal pipe

“…Now the case of an arbitrary Arrhenius function has been considered by Bestman (1991). So for further simplicity, we take k,(6) = k:, a constant.…”

“…In the spirit of Bestman (1983), the governing equations for flow of a thermally radiating and chemically reacting gas may be expressed as Hence k,(6) is the Arrhenius activation energy and y is an externally imposed pressure gradient.…”

“…In a recent paper, Bestman (1991) analysed the flow of a combustible gas in a vertical cylindrical pipe as a model for a biomass moving bed gasifier. The vertical position of the pipe makes this problem axisymmetric.…”

Analysis of activation energy and thermal radiation on convective flow of a power‐law fluid under convective heating and chemical reaction

“…The reactants have to be get rid of this barrier themselves to initiate a chemical reaction. The study of boundary‐layer flow involving the binary chemical reaction was probably the first of its kind by Bestman . The influence of n th ‐order chemical reaction and Arrhenius activation energy on unsteady convective flow over a flat porous plate was given by Makinde et al In this direction, Maleque investigated the binary chemical reaction of mixed convective flows and its influence with Arrhenius activation energy, whereas Mustafa et al discussed the effects of Brownian motion, magnetohydrodynamics (MHD), and thermophoresis on a micropolar nanofluid flow under the influence of activation energy with binary chemical reaction recently.…”

MHD Non-Newtonian Casson Fluid Heat and Mass Transfer Flow with Exothermic/Endothermic Binary Chemical Reaction and Activation Energy

“…He considered the motion through the plate to be large which enabled him to obtain analytical solutions (subject to same restrictions) for various values of activation energy by employing the perturbation technique proposed by Singh and Diskshit (1988). Bestman(1991) and Alabraba et al (1992) took into account the effect of the Arrhenius activation energy under the different physical conditions. Kandasamy et.…”