Electrokinetic peristaltic bioconvective Jeffrey nanofluid flow with activation energy for binary chemical reaction, radiation and variable fluid properties

This paper aims to present a comprehensive study of the non-linear peristaltic transport within a vertical uniform/non-uniform channel filled with a Jeffery non-Newtonian nanofluids in the presence of oxytactic microorganisms. The thermal conductivity of the used physiological fluids is varied linearly with the temperature while Arrhenius function is applied for the activation energy. The significance of electrical and magnetic fields together with a linear radiation and viscous dissipation are analyzed. The flow and heat transfer analysis has been performed under wall slip and compliant conditions. Additionally, optimization of the system entropy under the impacts of these aspects is examined. Numerical solutions for the governing system are introduced and profiles of the velocity u, temperature theta, nanoparticle distributions phi, heat transfer coefficient z and extra stress tensor distribution Sxy${S_{xy}}$ for the variations of the considered parameters are discussed. The main outcomes revealed that the maximizing of the Brinkman number Br$Br$ is better to get higher features of the extra stress tensor Sxy${S_{xy}}$. Also, the velocity u, density of the microorganisms xi and the NP distributions in the interval -0.5<0.5$ - 0.5 < y < 0.5$ get lower features as me${m_e}$ is altered. However, the temperature distributions are maximized as me${m_e}$ is growing.

Automated summary

This paper presents a comprehensive study on the non-linear peristaltic transport in a vertical uniform/non-uniform channel filled with a Jeffery non-Newtonian nanofluid in the presence of oxytactic microorganisms. The effects of electrical and magnetic fields, linear radiation, and viscous dissipation on flow and heat transfer are analyzed. Numerical solutions for the governing system are introduced and the variations of parameters are discussed. The results show that maximizing the Brinkman number leads to higher features of the extra stress tensor. The velocity, microorganism density, and NP distributions are affected by me${m_e}$, while the temperature distributions are maximized as me${m_e}$ increases.