2016
DOI: 10.1186/s40064-016-2964-0
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The analysis of a reactive hydromagnetic internal heat generating poiseuille fluid flow through a channel

Abstract: In this paper, the analysis of a reactive hydromagnetic Poiseuille fluid flow under different chemical kinetics through a channel in the presence of a heat source is carried out. An exothermic reaction is assumed while the concentration of the material is neglected. The Adomian decomposition method together with Pade approximation technique are used to obtain the solutions of the governing nonlinear non-dimensional differential equations. Effects of various physical parameters on the velocity and temperature f… Show more

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Cited by 13 publications
(11 citation statements)
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“…However, from engineering and industrial applications, the effect of heat transfer on a fluid flow within parallel plates cannot be totally neglected as recently discussed in [32]. In support of that, the estimation of heat transfer depends on temperature which raises the interaction of moving fluid and thus the conduct of the internal energy of the flow system is presented in [33]. Other studies showing the effects of internal heat on the fluid flow include [34] where investigation of free convective flow of fluid with heat source/sink between vertical parallel porous plates.…”
Section: Introductionmentioning
confidence: 95%
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“…However, from engineering and industrial applications, the effect of heat transfer on a fluid flow within parallel plates cannot be totally neglected as recently discussed in [32]. In support of that, the estimation of heat transfer depends on temperature which raises the interaction of moving fluid and thus the conduct of the internal energy of the flow system is presented in [33]. Other studies showing the effects of internal heat on the fluid flow include [34] where investigation of free convective flow of fluid with heat source/sink between vertical parallel porous plates.…”
Section: Introductionmentioning
confidence: 95%
“…Both plates are subjected to the impact of heat source which is a linear relation of temperature. Disregarding the consumption of the reacting viscous fluid, the equations controlling the fluid momentum and energy in non-dimensional form using [20,27,33,40] may be written as:…”
Section: Mathematical Formulationmentioning
confidence: 99%
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“…Neglecting the consumption of the reactant, the internal heat generated is assumed to be a linear relation of temperature and the thermal radiation, following [4,20], the equations governing the fluid motion and heat transfer are given in non-dimensionless form as: subject to the following boundary conditions Notably, the seventh and the last terms in Eq. 2are respectively the heat source within the flow system as stated in [36][37][38] and the compelling aspect of the radiative energy transfer as discussed extensively in [20,23,39]. Meanwhile, the Rosseland approximation for thermal radiation is given as:…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…In Reference 7, internal heat generation was explained as heat generated within a body from a chemical, electrical, or nuclear process. The analysis of a reactive hydromagnetic internal heat‐generating poiseuille fluid flow through a channel was investigated in Reference 8. A new model for internal heat generation in nanofluid flow due to a stretching sheet in a porous medium was given in Reference 9.…”
Section: Introductionmentioning
confidence: 99%