Steady free convection flow within a titled nanofluid saturated porous cavity in the presence of a sloping magnetic field energized by an exothermic chemical reaction administered by Arrhenius kinetics

Mohammad Rahman, Saghir, M. Z., Pop, I.

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In this work steady natural convection flow energized by an exothermic chemical reaction administered
by Arrhenius kinetics inside a tilted nanofluid saturated porous square cavity under the action of a sloping
magnetic field has been deliberated numerically following Buongiorno nanofluid model. It is assumed
that there is a local thermal equilibrium state between the considered nanofluid and homogeneous porous
medium. The mathematical model governing the dimensionless stream function for flow, temperature
for heat, and nanoparticles volume fraction for concentration are simulated numerically by means
of Galerkin weighted residual type of finite element method. The numerical code has been corroborated
compared with the formerly available works, and very good agreement is noticed among the outcomes.
Disseminations of streamlines, isotherms, isoconcentrations, and average Nusselt number at wideranging
key parameters are acquired and discussed in details. The results show that Rayleigh and
Frank-Kamenetskii numbers strongly control the convective flows. The average Nusselt number increases
with the Frank-Kamenetskii number while it decreases with the Rayleigh number. Heat generation due to
a strong exothermic reaction (higher Frank-Kamenetskii number) can blow up the bounded solution. For
higher Frank-Kamenetskii number, the rate of heat transfer can be controlled tilting the cavity anticlockwise.
Magnetic field slope overwhelms the heat transfer rate when the Frank-Kamenetskii number is
high. A strong magnetic field caused the nanoparticles separation for the slow flow. Effects of
Brownian diffusion and thermophoresis on average Nusselt number are minimal while their effects on
average Sherwood number are quite accountable.
Original languageEnglish
Pages (from-to)198-211
Number of pages14
JournalInternational Journal of Heat and Mass Transfer
Publication statusPublished - Feb 2019

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