Local thermal non-equilibrium condition on mixed convection of a nanofluid-filled undulating cavity containing obstacle and saturated by porous media

Abstract

The paper is aiming to examine the magnetic impacts on the mixed convection of a nanofluid contained by an undulating porous cavity with the help of radiative and heat generation. The condition of the local thermal non-equilibrium (LTNE) is considered. The partial heater is in the corrugated bottom partition and the top corrugated partition has T c . The vertical walls are adiabatic with a lid-velocity in the right wall. The regulating equations are worked out by the finite volume method (FVM). The involved parameters are the heater length B (between 0.2 and 0.8 ), heat generation/absorption coefficient Q (between −2 and 2), modified conductivity ratio (between k r = 0 - 10 ), thermal radiation parameter R d (between 0 and 5), a porosity parameter ε (between 0.4 and 0.9), heater position D (between 0.3 and 0.7), thermal conductivity ratio k fs (between 4 and 0.25), an undulating number λ (between 1 and 5), Darcy parameter Da (between 1 0 - 1 and 1 0 - 5 ), an inclination angle of a cavity α (between 0 ° and 90 ° ), nanoparticles parameter ϕ (between 0 and 0.1), and coefficient of an inter-phase heat transfer H ∗ (between 0 and 5000). The results indicated that the growth in nanoparticles parameter augments the profiles of average Nu of a fluid phase. The heat transfer is influenced by the variations in the length/position of the heater source. The maximum of the streamlines decreases by 97.55% as Da decreases from 1 0 - 1 to 1 0 - 5 and increases by 42.86% as an undulating number λ raises from 1 to 5.