Weak nonlinear analysis of nanofluid convection with g-jitter using the Ginzburg--Landau model

Abstract Nanofluid has emerged as a remarkable heat and mass transfer fluid due to its thermal characteristics. Despite this, continuing research is required address problems in real applications offer solution for controlling analysis. Therefore, this study, the authors intend model (Ginzburg–Landau equation) analyze two-dimensional nanofluid convection with gravity modulation. The perturbed analysis adapted convert leading equations into Ginzburg–Landau equation. Lower amplitude ( δ \delta values from 0 0.5) are taken since they influence of Pr considered 2 retain local acceleration term system equations. A lower amount frequency modulation Ω \Omega 70) sufficient enhance rates. It found that g-jitter concentration Rayleigh numbers control stability system. Prandtl number nano-heat nano-mass transfer. This shows destabilizing effect on nano-convection. Also nano-Rayleigh Rn dual nature kinetic energy positive negative signs. comparison made between modulated unmodulated systems, it systems influences problem than systems. Finally, effectively regulate transport process layer.