Dynamics of Newtonian Liquids with Distinct Concentrations Due to Time-Varying Gravitational Acceleration and Triple Diffusive Convection: Weakly Non-Linear Stability of Heat and Mass Transfer
نویسندگان
چکیده
One of the practical methods for examining stability and dynamical behaviour non-linear systems is weakly analysis. Time-varying gravitational acceleration triple-diffusive convection play a significant role in formation acceleration, inducing some dynamics industry. With an emphasis on natural Rayleigh–Bernard convection, more needed significance modulated field heat mass transfer due to triple focusing The Newtonian fluid layers were heated, salted saturated from below, causing bottom plate’s temperature concentration be greater than top plate’s. In this study, gravity was assumed time-dependent comprised constant term oscillation. More so, amplitude considered infinitesimal. case which layer infinitely expanded x-direction between two concurrent plates at z=0 z=d considered. asymptotic expansion technique used retrieve solution Ginzburg–Landau differential equation (i.e., system non-autonomous partial equations) using software MATHEMATICA 12. Decreasing modulation, Lewis number, Rayleigh number frequency modulation has no effect Nusselt proportional heat-transfer rates (Nu), Sherwood solute 1 (Sh1) 2 (Sh2) initial time. crucial rises value presence third diffusive component. component essential delaying onset convection.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11132907