Abstract
•This paper covers the following key points.•Bioconvective phenomenon for 3D Cross fluid is considered here.•Features of Gyrotactic microorganisms are studied.•Numerical Technique is employed here.•Activation energy aspects are accounted for modeling nanofluid.
The objective of current investigation is to scrutinize the steady 3D flow of Cross nanofluid, having nano-particles, gyrotactic micro-organisms as well as bioconvection mechanism. Bioconvection fluid is made via the collective influences of Lorentz forces a magnetic-field thru the link of motile micro-organisms with nano-particles. The significance of convection can be established in various micro-biological methods, for example bio-technology and biosensors connected to enhanced mixing and mass transference. The many uses of microbial bio-logical mobility and nano-particles within mechanical energy, biosensors, manufacturing and bio-informatics bio-technology have gain the consideration of scientists in current field. Furthermore, convective boundary conditions are briefly considered in this study. The set of non-linear PDEs of Cross model are converted into set of non-linear ODEs by mean of appropriate similarity alterations then these ODEs solved by built in shooting technique (bvp4c). The significances of the non-dimensional velocity profile, temperature distribution, concentration as well as motile micro-organisms density with sundry parameters are deliberate in this article. The comprehensive breakdown of non-dimensional parameters is defined. The present work simplifies that the temperature of the Cross-fluid boosts for the higher values of Brownian motion and thermophoresis forces. While thermal field declines for higher value of S1 (thermal stratification parameter). Pictorial depiction of the density of motile micro-organisms is executed and effects are determined. Moreover, it seeks for, the non-linear research through the procedure of the (bvp4c) solutions. The significance of many somatic variables consistent to curvature parameters, bio-convection Rayeigh number, Prandtl number (Pr), radiation parameter R, thermal field, concentration field and motile density field.