Amplitude analysis of turbulent boundary layers and oscillatory heat transfer using Powell-Eyring nanofluid, exothermic reaction and periodic Stokes conditions

This study presents activation energy and exothermic catalytic chemical reaction influence on Powell Eyring nanofluid flow along heat exchanger plate. Entropy generation and oscillating thermal radiation over heat exchanger plate has prominent usage in chemical industries, marine technologies, thermal power plants, power generation, heating and cooling systems, gas and oil industries, and oil refining. Using thermophoretic and Brownian diffusion, the mathematical simulation is developed to fulfill the criteria of current mechanism. The computational outcomes are derived using oscillating Stokes formulation, implicit scheme of finite difference method, primitive approach and Gaussian elimination methodology using Powell Eyring nanofluid. Streamlines, velocity and temperature field, isotherms, steady heat/mass flux and oscillatory heat/mass flux are derived using physical parameters such as exothermic reaction (K_r), activation energy (A_E), radiation (R_d), thermophoresis (N_T), Eckert parameter (E_c), Powell Eyring fluid parameters (δ,σ), Brownian motion (N_B), Prandtl number (Pr), mixed convection (λ_T), and Schmidt parameter (S_c). For lower activation energy, the remarkable increment in streamlines is depicted. It is noticed that magnitude of streamlines reduces as activation energy enhances. The maximum magnitude of streamlines is found for large exothermic reaction and small activation energy. Increasing rate of isotherms is found at large exothermic chemical reaction. High amplitude in temperature and concentration field is noticed with exothermic reaction and activation energy effects. Steady heat and mass flux increases as exothermic reaction increases. Fluctuation and turbulence in heat and mass flux is enhanced as thermal radiation and exothermic reaction rate increases. Maximum fluctuating frequency in periodical skin friction is calculated for high rate of exothermic catalytic reaction.