Three‐dimensional magnetohydrodynamic non‐Newtonian bioconvective nanofluid flow influenced by gyrotactic microorganisms over stretching sheet

Abstract

AbstractThe current manuscript deals with MHD Casson nanofluid flow in presence of gyrotactic microorganisms and convective conditions. Initially, partial differential equations are converted into first‐order ordinary differential equations (ODEs) by using similarity variables, and then these ODEs are solved by applying mathematical simulation due to the highly nonlinear behavior of resulting equations. Runge–Kutta–Fehlberg technique is employed by following the shooting method and results are symbolically calculated in MATLAB software. The motive behind solving this model is to calculate the influence of various crucial fluid parameters, namely, Casson fluid parameter β (0.1 ≤ β ≤ 0.5), magnetic parameter M (1 ≤ M ≤ 5), Biot numbers (a (0.1 ≤ a ≤ 2.1), b (1 ≤ b ≤ 9), and d (0.5 ≤ d ≤ 2.5)), Brownian motion Nb (1 ≤ Nb ≤ 21), thermophoresis Nt (1.0 ≤ Nt ≤ 3.0), Peclet number Pe (1 ≤ Pe ≤ 5), bioconvective constant σ (1 ≤ σ ≤ 5), Lewis number Le (10 ≤ Le ≤ 50), bioconvective Lewis number Lb (1 ≤ Lb ≤ 5). It is inferred that thermal Biot number enhances temperature distribution and nanoparticle concentration declines with inclination in chemical reaction.