Aspects on unsteady for MHD flow of Cross nanofluid having gyrotactic motile microorganism due to convectively heated sheet

Abstract

The motive of the current analysis is to examine the role of gyrotactic microorganisms to reveal their behaviour in heat and mass transfer in time-dependent MHD flow of Cross fluid accounted through nanoparticles. Non-linear thermal radiative, viscous dissipation, Soret and Dufour effect are also scrutinised with constraining conditions. By applying the suitable alteration the system of PDEs is transmuted into ODEs. The transmuted ODE’s are utilised through RK-4 along with shooting techniques. Moreover, the impact of various emerging variables on the velocity, temperature, concentration and density of motile microorganisms are deliberated numerical and graphical. The outcomes are presented through plots and tables. Further, the outcomes illustrated that enhancements in the value of Weissenberg number We result in a reduction in motile density microorganism while the opposite effect is examined in the velocity slip effect. In addition, an intensifying microorganism profile is observed with velocity slip effect, Peclet number. Comparisons have been prepared with previously published literature and found an outstanding agreement.