Computational analysis of MHD driven bioconvective flow of hybrid Casson nanofluid past a permeable exponential stretching sheet with thermophoresis and Brownian motion effects

This study examines the flow of Casson hybrid nanofluid upon an exponentially elongating sheet with impact of gyrotactic microorganisms. The influence of mixed convection has been used in momentum equation. A magnetic field has employed to flow system in normal direction to flow streams and its impact has been taken mathematically in momentum and energy equations. There are enormous applications for this issue, notably in the pharmaceutical industry and purification of cultures. The hybridization process is done by considering TC4(Ti-6AI-4 V) and NiCr(80%+20%) nanoparticles with engine oil as pure fluid. A hybrid volume fraction model and the Buongiorno model have been employed. Through similarity substitutions the system of modeled equations is converted to dimension-free form. Heat source and thermal radiation have also been employed to the problem with its mathematical effect has been depicted in energy equation. Chemical reaction has been used in flow model with its mathematical expression in concentration equation. Solution of the subsequent set has been determined by using homotopy analysis method. The reason that we have conducted this study is to investigate the Casson hybrid nanofluid flow past an exponentially extending surface under the effects of applied external forces. After in-depth insight of the work it has concluded that the fluid motion has declined with upsurge in magnetic, mixed convection, buoyancy ratio, Casson and porosity factors. Temperature distribution has been amplified with growth in Eckert number, Brownian motion, magnetic, thermophoresis, heat source, and radiation factors. Concentration characteristics have declined with upsurge in Brownian motion factor and Schmidt number while thermophoresis factor has supported the concentration profiles. Density number of microorganisms has weakened with higher values of Peclet, and bio-convection Schmidt numbers as well as with growth in bioconvection difference parameter. The impact of various factors has deliberated numerically for various quantities of engineering interest in tabular form. Validation under special case has been conducted with preceding works and has established a fine agreement.