Wave oscillation in periodic-boundary layers and turbulent heat flow using Powell-Eyring nanofluid, nonlinear radiation and entropy generation via finite-difference method

Wave oscillations of periodic boundary layers and enhancement of fluctuating heat and mass distribution along vertical cone using Powell-Eyring nanofluid aspects is the novelty of current analysis. The significance of entropy generation, thermophoresis, nonlinear radiation and buoyancy force is applied for oscillating heat transfer enhancement. The unsteady partial differential formulation is developed and reduced into simple equations using unit-less variables. The oscillation behavior of heat and mass distribution, streamlines, isothermal lines, fluid velocity, fluid temperature and concentration are explored using steady and periodic conditions. To obtain steady and fluctuating outcomes, the Stokes oscillations and primitive factors are used to make similar relation of energy, momentum and mass equations. The algorithm is generated in FORTRAN tool using the implicit scheme of finite difference approach. The unknown thermal and flow quantities are obtained using Gaussian elimination scheme. The amplitude and phase angles are explored using oscillation formula to calculate the oscillatory and periodical quantities of heating stability and mass/concentration circulation. It is noticed that higher amplitude in nanofluid-velocity variation and wall-temperature is observed for large radiations. The uniform heating rate and concentration distribution increases as Brownian motion and thermophoresis force increases. Large oscillations and amplitudes in heat and mass transfer are observed for each value of thermal radiation. It is depicted that the streamline variation increases as Powell-Eyring parameter decreases and mixed convection parameter increases. The maximum scale of isotherm contour is found as thermal radiation rises and Powell-Eyring parameter drops. The outstanding improvement in mass and heat transmission is deduced as mixed convection parameter enhances. The rate of skin friction is enhanced as Powell-Eyring material factor increases.