Analysis of Hydromagnetic Double Exothermic Chemical Reactive Flow with Convective Cooling through a Porous Medium under Bimolecular Kinetics

F. O. Akinpelu; R. A. Oderinu; A. D. Ohaegbue

doi:10.46481/jnsps.2022.525

Authors

F. O. Akinpelu
Department of Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria
R. A. Oderinu
Department of Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria
A. D. Ohaegbue
[email protected]

Department of Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria

Keywords:

Exothermic reaction, Convective cooling, Bimolecular kinetics, Porous medium

Abstract

In this study, the analytical solution of steady hydromagnetic double exothermic combustible reaction fluid flow in a porous medium with convective cooling wall is presented. The viscous heating reactive liquid is totaling exothermic without consumption of material. The combustion reaction of the fluid takes place in a Poiseuille device, and it is been propelled by pressure gradient and pre-exponential bimolecular kinetics. The device is exposed to convective cooling to keep the reactive hydromagnetic fluid from distortion. The weighted residual method (WRM) is analytically used to get the numerical values for the dimensionless nonlinear governing equations. The solution to temperature and velocity distribution is carried out and the result is graphically depicted. The Nusselt number and skin friction coefficient is also showed for some significant parameters engrained in the flow and the solution obtained is compared with numerical method. As obtained in the study, the second exothermic reaction term increases the combustion process; hence the term will assist in reducing toxic discharge from the engines that pollute the environment. The Frank-Kamenetskii parameter contributes highly to system thermo-fluid destruction; as such it must be monitored.

Dimensions

REFERENCES

R. Ellahi & S. Afzal, “Effects of variable viscosity in a third grade fluid with porous medium:an analytic solution”, Communications in Nonlinear Science and Numerical Simulation 14 (2009) 2056.

O. D. Makinde, “Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition”, Thermal Science 15 (2011) S137.

C. Chen, “On analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation”, International Journal of Heat Mass Transfer 53 (2010) 4264.

F. Mabood & S. M. Ibrahim, “Effects of soret and non-uniform heat source on MHD non-Darcian convective flow over a stretching sheet in a dissipative micropolar fluid with radiation”, Journal of Applied Fluid Mechanics 9 (2016) 2503.

F. Mabood, S.M. Ibrahim, M. M. Rashidi, M. S. Shadloo & L. Giulio, “Non-uniform heat source/sink and Soret effects on MHD non-Darcian convective flow past a stretching sheet in a micropolar fluid with radiation”, International Journal of Heat and Mass Transfer 93 (2016) 674.

J. A. Gbadeyan & A. R. Hassan, “Multiplicity of solutions for a reactive variable viscous Couette flow under Arrhenius kinetics”, Math Theory Model 2 (2012) 39.

V. D i Marcello, L. Cammi & A. Luzzi. “Generalized approach to heat transfer in pipe flow with internal heat generation”, ChemEngSci 65 (2010) 1301.

M. F. El-Amin, “Combined effect of internal heat generation and magnetic field on free convection and mass transfer flow in a micro polar fluid with constant suction”, J Magn Mater 270 (2004) 130.

A. R.Hassan &J. A. Gbadeyan, “A reactive hydromagnetic internal heat generating fluid flow through a channel”, Int. J. Heat and Technol. 33 (2015) 43.

G. C. Hazarika, K. Goswami & J. Konch, “Effects of variable viscosity and thermal conductivity on MHD flow past a vertically moving porous plate with viscous and joule dissipation”, International Journal of Computer Applications 123 (2015) 40.

P. Dulal &M.Hiranmoy, “Effectsof temperature-dependent viscosity and variable thermal conductivity on MHD non-Darcy mixed convective diffusion of species over a stretching sheet”, Journal of the Egyptian Mathematical Society 22 (2014) 123.

D. Hunegnaw & K. Naikoti, “ MHD effects on heat transfer over stretching sheet embedded in porous medium with variable viscosity, viscous dissipation and heat source/sink”, Ain Shams Engineering Journal 5 (2014) 967.

A.R.Hassan&R.Maritz“Theanalysisofareactivehydromagneticinternal heat generation poiseuille fluid flow through a channel”, SpringerPlus 5 (2016) 132.

P. Dulal “Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy force and thermal radiation”, Meccanica 44 (2009) 145.

G. C. Hazarika & S. G. Ch. Utpal, “Effects of variable viscosity and thermal conductivity on MHD flow past a vertical plate”, Matematicas Ensenanza Universitaria 2 (2012) 45.

S. O. Adesanya & J A. Folade, “Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium”. Alexandria Eng. J. 54 (2015) 615.

P. A. Bala & S. Suneetha, “Aspects of homogeneous-heterogeneous chemical reaction and slip velocity on MHD stagnation flow of a micropolar fluid over a permeable stretching/shrinking surface embedded in a porous medium”, (2017) 837.

S. O. Salawu, “Analysis of third-grade heat absorption hydromagnetic exothermic chemical reactive flow in a Darcy-Forchheimer porous medium with convective cooling”, WSEAS Trans. Math. 17 (2018) 280.

G. S. Seth, A. Bhattacharyya, R. Kumar & M. K. Manoj, “Modelling and numerical simulation of hydromagnetic natural convection casson fluid f low with nth order chemical reaction and Newtonian heating in porous medium”, Journal of Porous Media 22 (2019) 1141.

O. D. Makinde, P. O. Olanrewaju, E. O. Titiloye, & A.W. Ogunsola, “On thermal stability of a two-step exothermic chemical reaction in a slab”, Journal of Mathematics science 13 (2013) 1.

S. O. Salawu & A.M. Okedoye, “Thermodynamic second law analysis of hydromagnetic gravity-driven two-step exothermic chemical reactive f low with heat absorption along a channel”, Iranian Journal of Energy and Environment 9 (2018) 114.

R. S Lebelo, R. K. Mahlobo & K. C. Moloi, “Thermal stability analysis in a two-step reactive cylindrical stockpile”, American Journal of Applied Sciences 15 (2018) 124.

T.Chinyoka&O.D.Makinde,“AnalysisoftransientGeneralizedCouette f low of a reactive variable viscosity third-grade liquid with asymmetric convective cooling”, Mathematical and Computer Modelling 54 (2011) 160.

S. O. Salawu, R. A. Oderinu, & A. D Ohaegbue, “Thermal runaway and thermodynamic second law of a reactive couple stress fluid with variable properties and Naviier slips”, Scientific African 7 (2020) 1

S. A. Odejide & Y. A. S. Aregbesola, “Application of weighted residuals to problems with semi-finite domain.” Rom. Journ. Phys. 56 (2011) 14.

S. O. Salawu & A. B. Disu, “Branched-chain criticality and explosion for a generalized thermal Oldroyd 6-constant coquette reactive fluid flow”, South African Journal of Chemical Engineering 34 (2020) 90.

S. O. Salawu & S. S. Okoya, “On criticality for a branched-chain thermal reactive-diffusion in a cylinder”, Combustion Science and Technology 192 (2020) 1.

O. D. Makinde & O. A. Beg, “On inherent irreversibility in a reactive hydromagnetic channel flow.” J. Them. Sci. 19 (2010) 72.