On the Stability of Convection in a Non-Newtonian Vertical Fluid Layer in the Presence of Gold Nanoparticles: Drug Agent for Thermotherapy

We consider the effect of gold nanoparticles on stability properties convection in a vertical fluid layer saturated by Jeffreys fluid. The boundaries are rigid and hold at uniform but different temperatures. Brownian diffusion thermophoresis effects considered. Due to numerous applications biomedical industry, such study is essential. linear investigated through normal mode disturbances. resulting problem an eighth-order ordinary differential complex eigenvalue that solved numerically using Chebyshev collection method. Its solution provides neutral curves, defining threshold instability, critical parameters onset instability determined for various values control parameters. results Newtonian second-grade delineated as particular cases from present study. It shown has more stabilizing than fluids presence and, least stable.